ICO, Initial Coin Offerings or first token sale, has become a new way to bootstrap a community, through pre-selling tokens that give users access to the futures services that the network will deliver. In an ICO, a quantity of the crowdfunded cryptocurrency is redistributed to investors in the form of “tokens”, in exchange for fiat currencies or other cryptocurrencies.
These tokens become functional units of currency when the ICO’s funding goal is met and the project launches.
The first token sale was held by Mastercoin in July 2013. Ethereum raised money with a token sale in 2014, raising approximately $2.3 million in just 12 hours. Today first token sales have become hugely popular within the blockchain community. At least 400 ICOs have been conducted as of August 2017.
According to Cointelegraph, companies raised around $6 billion via ICOs in 2017.
Already by February 2018, an estimated 46% of the 2017 ICOs had failed; proving how risky an investment they are.
Ethereum is (as of early 2018) the leading blockchain platform for ICOs with more than 80% market share. Tokens are generally based on the Ethereum ERC20 standard.
In contrast to initial public offerings (IPOs), where investors gain shares in the ownership of the company, in ICOs, the investors buy coins of the company, which can appreciate in value if the business is successful. These coins are sometimes “pre-mined”, eliminating the need for proof of work. Often contributions are capped at a certain value.
ICOs are a way for self-funding a project by selling future access to the service the network will deliver. As such they can be seen as an extension of the crowdfunding process, but different in important ways.
How do ICOs differ from IPOs or issuing shares? When you’re investing in stocks what you’re doing is you’re taking a piece of the equity, a piece of the operating company, all the cash flows. The holder of the equity owns a part of all of the profits that the company makes.
Generally speaking, tokens are different. You’re not buying a part of an operating company you’re buying the money supply of the future technology project.
With tokens, one is buying the tokens before the company has built the technology. But if the technology grows and if it’s well used then the value of the tokens will correlate with the value of the company. Most tokens do not actually provide any sort of claim to an underlying asset and that is different from traditional securities.
ICO DYNAMICS
The token may start as “magic internet money” but as the ecosystem matures and becomes more valuable in use the tokens start to look like and feel like “real money” to their end users.
Any one or group of people can launch a project where ever they see an opportunity for value creation through the coordination of people’s activities.
At first, people come together and define what the future service of the network will be and then create a token that will be the medium for accessing and exchanging that service.
At first, the project is nothing but an idea and a little bit of code on the blockchain for minting some new tokens during the initial offering.
Often when a token is first issued it has essentially zero value. The value of the token at this point is largely dependent upon people’s perceived future utility of the network. Thus the early purchasers of the token are both believers in the network and risk takers. But they give the token value through their belief in its potential and willingness to pay for it. Over time as people contribute to the project the network starts to materialize and at a point, it can be opened up to the community and start to deliver a service to the end user.
At this stage, the tokens that were previously just crypto equity, now become utility tokens which are used to benefit from the services in the ecosystem. Anyone who has contributed to the community, in the beginning, can now use the crypto-equity to benefit for free from the service that is provided. Those that did not contribute have no tokens and they now need to purchase those tokens which gives the token more value as more people use the network and it matures. At this mature state, the token should shift from being an object of speculation to the actual use-value determining its price.
So money which starts as “magic internet money” becomes “real money” as the community materializes and starts to deliver a real service that people would otherwise be paying for with fiat currencies. The token actually starts to feel like real money.
COMMUNITY GROWTH
Part of what blockchain technology enables is for our newly formed network systems of organization to mature and become greatly more autonomous.
ICOs are a way for these networks to become autonomous in their initial financing, to become self-funding.
Token offerings can provide a very agile development model. As with this model to funding it is now possible to set up an organization rapidly wherever there is a perceived business opportunity and for anyone to invest in that organization with limited friction. Unlike in traditional venture capitalism, contributors can transfer their assets instantly and easily to other people.
Whereas previously only projects that could pass through the formal financial system and look like profitable enterprises received financing, with token offerings people can finance the things that they value directly peer-to-peer.
Take for example the blockchain project ImpactPPA, that uses blockchain technology to provide a direct vehicle for people to invest in energy projects in developing economies.
ImpactPPA tries to use the power of the blockchain to bring together capital and consumers in a way that is direct, responsive, and expedient.
Energy financing and distribution are currently bottlenecked by large, centralized NGOs and government agencies that have established a lengthy financing system that can take years from proposal to product implementation.
ImpactPPA offers a system that permits anyone, anywhere, to create a proposal for a project of any size enabling the funding of clean energy microgrids in emerging economies around the world.
ImpactPPA CEO Dan Bates explained that the current funding process with centralized NGOs is “too cumbersome and costly for many developing nations… ImpactPPA’s use of the blockchain and the crowd dramatically changes this paradigm, tapping into the vast potential of the socially minded impact investor and concerned citizen, looking to benefit the well-being of others while mitigating climate change.” – https://goo.gl/NY9Gv4
EXAMPLES
With token offerings, suddenly it’s possible to create all these business models that didn’t exist before which allow us to monetize open data and open networks in a completely new way.
ICOs have the potential to unlock huge amounts of untapped resources and fund projects that would otherwise fall outside of the mainstream financing system as they can be used to provide resources for any kind of project.
Building a new park in your neighborhood could be funded through an ICO. People come together to form a plan for the park, they then create park tokens on the blockchain, inform everyone in the area of the project and that to access its services they will need park tokens.
Tokens are distributed and used to remunerate those creating the park and maintaining it.
There doesn’t even necessarily need to be any fiat money involved; people who contribute receive tokens that they then use later to avail of the park’s services.
Although we often think about ICOs in terms of investment and monetary increases, the token offering can be used to fund any project that may or may not have monetary value. It is simply a way of recognizing the contributions that people have made to the development of a project and rewarding them with access to the service that the system delivers at a later date, thus creating a self-funding, self-sustaining system, that can be completely independent of traditional market financing or government support.
This model supports the idea of multi-value as it actually becomes now possible to have a variety of value systems in the sense that every organization can have its own tokens and those tokens are actually representing what is the value system of that community.
While it is always possible to exchange the token for a particular fiat currency it also becomes possible to create enough systemic exchange by which certain communities that see value in the token of another community can start exchanging between them and eventually you can actually create a really sophisticated system of exchange that could almost bypass the fiat currency.
This video goes over the strategies and rules of thumb to help figure out where the Nash equilibrium will occur in a 2×2 payoff matrix. Generally you need to figure out what the dominant strategy is for each player and then use the dominant strategy of each player to see if a final cell ends up being the choice for both players.
Economies are large-scale systems for the production and exchange of value within society. One of the key functions of economies and economics is to figure out what might happen in the future and enable economic development by coordinating the efficient allocation of resources within that system.
An economic system has to aggregate large amounts of information and figure out how to allocate available resources in an efficient manner to support its future development. The same is true for all organizations, enterprises, and individuals. They also have to figure out how to allocate both their current resources but also where to invest their resources to enable future success and growth.
This can be done either in a centralized fashion or a decentralized fashion.
The centralized approach involves having a large bureaucracy that monitors the economy, bringing in information from the many different industries and employing an army of economists, statisticians, and analysts of various kind to try to forecast the future and figure out a plan for the economy. Then use subsidies, taxes and various forms of regulation to try to allocate resources according to some centralized vision. This we would call a command and control economy, as exemplified by the former communist system But it is also a key part of how most economies are managed today by their respective national governments.
This centralized approach has its advantages and disadvantages. We can look at China’s current rapid development which has to a large extent been a function of the central government’s planning.
But equally this approach has its failings. It is critically dependent upon the information processing of a limited number of people, who may be highly competent, but just as likely, they may be incompetent. Either way, they can only process so much information. Which means there are information bottlenecks, as the information is centralized. Likewise, the people are making decisions about other people’s resources, not their own, which can lead to a misalignment of incentives and many opportunities for corruption.
ADAPTATION
With fast-paced technological and market evolution and mass, automation innovation is moving to the forefront of what enterprises are required to do. At the relatively low level of change of the past, the enterprise could confine change and innovation to some small R&D department and could afford lengthy production cycles and change processes. The mass of the organization was built around a stable and predictable hierarchical structure, long production processes and product life cycles through which stable income streams could be maintained. But as the pace of change increases this model is becoming increasingly less viable.
We are living in a more and more complex and dynamic world. There are more things coming at us and they’re coming at us at a faster rate and it is not just that the pace of change is accelerating but we also have more extreme events, the so-called “black swans” that come at us out of nowhere and we’re part of nobodies plans. In this kind of world to think about the future is a waste of time, in that kind of world all you can focus on is how to adapt more quickly, sense and respond more quickly to what is going on in the world.
Blockchain networks and token economies are distributed. That is to say, they have no centralized component, because of this we can not develop the economy in the traditional top-down approach, but instead have to work with the innate peer-to-peer market dynamics.
Without centralized coordination, they rely on markets to predict the future and decide how to allocate resources and invest in response to that. It has long since been noted that markets themselves are decentralized systems for the processing of information and the distributed allocation of resources.
One of the key aspects to economies and markets is as information processing systems. They aggregate all the local information that people have and use it to formulate a price that indicates something about the supply and demand of a good or service, both now and possibly in the future.
Market prices are good ways of aggregating dispersed information and summarizing that information in a single key figure, the price.
Futures markets are good examples of this where traders bring their knowledge into the market about some future outcome with the price then reflecting that dispersed information.
EVOLUTION
These loosely-coupled evolutionary type systems are long-term much more reliable than highly structured centralized systems – whether it’s from biology or whether it’s even engineering systems. And we are entering a world where we can have business systems that have these properties and that means that it’s able to absorb and adapt to small and large changes on an ongoing basis.
With highly centralized systems you have a lot of internal fault lines that get covered up by the opacity and boundaries, they just sit and sit until things break massively and you get massive crashes.
When you open the door to identifying and adjusting to your small perturbations and letting systems evolve through interaction with the community you can actually massively reduce the probability of these mega like corrections because you’re making micro corrections all along the way.
As an example we can think about a large financial institution or enterprise going bankrupt. The internal dysfunctionalities and stresses within the system will not be revealed for long after they happen and it will take years to wind down the operation.
A token economy is a real-time economy, think about how hard-coded financial regulation into a decentralized autonomous organization would be.
Ten minutes after a bank started trading insolvent the automatic regulation smart contracts would kick in and that bank would just immediately shut down and redistribute its assets to its creditors. That whole process of insolvency, the minute it started trading insolvent and got to the threshold, would just automatically happen and we wouldn’t need agencies coming in and monitoring.
With these token economies a new form of economic development is emerging, one that is more organic and evolutionary. Key components of that are: initial coin offerings as means to bootstrap the token network; prediction markets as distributed mechanisms for bringing in the best available information and predicting what will happen in the future; and advanced analytics as means of optimizing the allocation of resources on the network through big data analytics.
As we will talk about in the coming video ICOs are a critical part to these distributed networks gaining their autonomy from the traditional financial system and enabling communities to start their own networks based around their own value system.
These decentralized token networks can be biologically self-sufficient, we can add inflation to a network every year, with say 5% more tokens distributed to the network, thus creating their own value with which to fund their own development, which is being taken out of the value of the whole ecosystem. The network inflates itself, to invest in itself, towards creating more value which will compensate for the inflation.
So anyone can join and say I will do marketing or I will do all of these things to the platform that will add value to the network in the future and if the network decides that they want to allocate value to that activity then just by a simple vote the network can decide to produce tokens and give them to the participant as an investment in its own development.
The network is self-sufficient in a sense that it creates its own value. It mints these new tokens and distributes them as needed for future growth.
In the case of Ethereum for example with something like a 50 billion dollar token valuation and maybe a 10 percent inflation rate, Ethereum is already allocating approximately 5 billion dollars a year in decentralized budgeting, to its own development. This is an incredible degree of biological self-sufficiency that we have never seen. These token networks do not depend on anything in this sense they are completely autonomous code.
Likewise, the blockchain exists within the context of the next generation internet, the so-called distributed web. A key part of this is advanced analytics.
When whole economies, supply chains, and enterprises are “on the blockchain” the potential for analytics becomes extraordinary.
One early example of this is the IBM Data Science Experience platform that is used to analyze and visualize supply chain data from a blockchain environment. They enhance the data with info taken from weather APIs and other sources. They then train and deploy a machine learning model that predicts shipping delays.
Blockchains open up data silos and expose them for running analytics over whole networks and systems. This provides new ways for us to determine the optimal allocation on a given economic network and even run simulations as to future outcomes.
Karl Skjonnemand speaks about the miniaturization of transistors and the digital revolution, as well as a new form of manufacturing called, “directed self-assembly.”
The transistors that power our phones are unimaginably small: you can fit more than 3,000 of them across the width of a human hair.
But to keep up with innovations in fields like facial recognition and augmented reality, we need to pack even more computing power into our computer chips — and we’re running out of space.
This means that what our software can do has the potential to be slowed down by our hardware.
As well, the current miniaturization and manufacturing process is so complex and expensive that the existing approach is questionable in terms of long-term viability.
Quantum computers and neural networks offer some long-term solutions, but we need more immediate solutions.
Nanotechnology and miniaturization have increased performance and lowered cost.
In brief, we’re talking about molecular engineering and mimicking nature down to nanoscale dimensions via self-assembly, like in nature.
We are using molecular engineering to self-assemble nanoscale structures that can be lines or cylinders the size and periodicity of our design.
We use chemical engineering to manufacture the nanoscale features that we need for our transistors.
But that only takes us half way, because we still need to position these structures where we want the transistors to be placed in the integrated circuits. We can accomplish this relatively easy by using wide guide structures that pin down the self-assembled structures, anchoring them in place and forcing the rest of the self-assembled structures to lie parallel aligned with our guide structure.
We call this “directed self-assembly.”
The challenge is that all this needs to align almost perfectly because any defect can cause transistor failure.
This is still in the development stage.
But if we can do this, we can continue with the cost-effective miniaturization of transistors, continue with the spectacular expansion of computing and digital revolution. This could even be the dawn of a new era of molecular manufacturing.
In continuing on with our discussion on evolutionary game theory, in this video we will discuss network games.
The workings of evolution are typically told as a story of competition and the classical conception of the survival of the fittest.
But in reality, evolution is as much about cooperation as competition. A unicellular organism may have survived the course of history largely based upon its capacity to fight for resources with other unicellular organisms.
But the cells in multicellular organisms have survived based upon their capacity to cooperate. They form part of large systems of coordination and they are selected for based upon their capacity to interoperate with other elements within large networks that contribute to the workings of the whole organism.
Likewise, in a ghetto full of gangsters, it may be your capacity to look out for your own skin that will enable you to get ahead. But at the other end of town where people earn their living as part of large complex organizations, it is primarily your capacity to interoperate with others and form part of these large organizations that determine your payoff.
You form part of a large cooperative organization which is really what is supporting you and determining your payoff. In such an event one needs to be able to interoperate with others effectively, to be of value to the organization, and thus succeed in the overall game.
The idea is that evolution creates networks of cooperation that are able to intercept resources more effectively because of the coordinated effort.
People’s capacity to survive within such systems is then based upon their capacity for cooperation, instead of competition, as it might be if they were outside of these networks of cooperation, in the jungle so to speak.
Thus what we do, our choice of strategy and the payoff for cooperation or defection in the real world, depends hugely on the context outside of the immediate game and this context can be understood as a network of agents interacting.
When we form part of networks of coordination and cooperation our payoffs come to depend largely on what others around us are doing.
I want to buy a certain computer operating system but the payoff will depend on what operating system my colleagues are using. Or people want to learn a new language only if the other people around them also speak that language.
SPATIAL DISTRIBUTION
A key factor in the evolution of cooperation is spatial distribution. If you can get cooperators to cluster together in a social space, cooperation can evolve.
In research conducted by Christakis and Fowler, they have shown that our experience of the world depends greatly on where we find ourselves within the social networks around us. Particular studies have found that networks influence a surprising variety of lifestyle and health factors, such as how prone you are to obesity, smoking cessation, and even happiness.
The experiment they conducted took place in Tanzania with the Hadza people, one of the last remaining populations of hunter-gatherers on the planet whose lifestyle predates the invention of agriculture. They designed experiments to measure social ties and social cooperation within the communities.
To identify the social networks existing within the communities they first asked adults to identify individuals they would prefer to live with in their next encampment. Second, they gave each adult three straws containing honey and were told they could give these straws as gifts to anyone in their camp.
This generated 1,263 campmate ties and 426 gift ties.
In a separate activity, the researchers measured levels of cooperation by giving the Hadza additional honey straws that they could either keep for themselves or donate to the group.
When the networks were mapped and analyzed, the researchers found that co-operators and non-cooperators formed distinct clusters within the overall network. When they looked at individual traits with the ties that they formed they found clearly that cooperators clustered together, becoming friends with other cooperators.
The study’s findings describe elements of social network structures that may have been present early in human history. Suggesting how our ancestors may have formed ties with both kin and non-kin based on shared attributes, including the tendency to cooperate.
According to the paper, social networks likely contributed to the evolution of cooperation.
MODEL
The emerging combination of network theory and game theory offers us an approach to looking at such situations. The idea is that there are different individuals making decisions and they are on a network and people care about the actions of their neighbors.
As an example, we can think of an individual, Kate, choosing whether to go to university or not, and this action will depend upon how many of her friends are choosing to go to university also.
So the pay off for the individual will depend on how much she likes the idea of going to university as an individual, but also how many of her friends choose to go and on how many friends she has.
So in this networked game, the individual might have a threshold, say Kate will only go to the university if at least two of her friends are also going and her friends also have the same threshold.
This is an example of a strategic complements game. Meaning that the more of one’s neighbors that take an action the more attractive it becomes for one to also take it.
But we can also have the inverse, what are called games of strategic substitution, where the more of my neighbors that take the action the less attractive it is for me.
As an example, we might take Billy who is thinking of buying a car, but Billy is also part of a social network of friends and if one of his friends has a car then he can take rides with the friend and has no great need to purchase a car. If we assume the same is true for his friends we could use a social network model of the game to find where the equilibrium state is. So the payoff for Billy would look like a ranking where one of his friends having a car is best, then him having to buy one, then worst of all no one having a car.
An agent is only willing to take action 1 if no one they are connected to is also taking that action. So in the network, we can see that it is in equilibrium because all the players connected to a player taking strategy 1 do not take that strategy.
Our world is a complex place, especially when dealing with social interaction where people are embedded within a given social, cultural, economic and physical environment, all of which is affecting the choices they make. The combination of network theory and game theory takes us into this world of complex games which is much more representative of many real-world situations, but still very much at the forefront of research.
This video has hopefully given you a sense of how network game theory can help us look outside the box of standard games. To see how other factors in the environment may be influencing the games and how to potentially incorporate these other factors through the application of network modeling.
The Replicator equation is the first and most important game dynamic studied in connection with evolutionary game theory. The replicator equation and other deterministic game dynamics have become essential tools over the past 40 years in applying evolutionary game theory to behavioral models in the biological and social sciences.
REPLICATOR EQUATION
These models show the growth rate of the proportion of agents using a certain strategy. As we will illustrate, this growth rate is equal to the difference between the average payoff of that strategy and the average payoff of the population as a whole.
MODEL
There are three primary elements to a replicator model:
Firstly we have a set of agent types, each of which represents a particular strategy and each type of strategy has a payoff associated with it which is how well they are doing.
There is also a parameter associated with how many of each type there are in the overall population – each type represents a certain percentage of the overall population.
Now in deciding what they might do, people may adopt two approaches.
They may simply copy what other people are doing, in such a case the likelihood of an agent adopting any given strategy would be relative to its existing proportion of that strategy within the population. So if lots of people are doing some strategy the agent would be more likely to adopt that strategy over some other strategy that few are doing.
Alternatively, the agent might be more discerning and look to see which of other people’s strategies is doing well and adopt the one that is most successful, having the highest payoff.
The replicator dynamic model is going to try and balance these two potential approaches that agents might adopt, and hopefully, give us a more realistic model than one where agents simply adopt either strategy solely.
Given these rules, the replicator model is one way of trying to capture the dynamic of this evolutionary game, to see which strategies become more prevalent over time or how the percentage mix of strategies changes.
In a rational model, people will simply adopt the strategy that they see as doing the best amongst those present. But equally, people may simply adopt a strategy of simply copying what others are doing. If 10% are using strategy 1, 50% strategy 2, and 40% strategy 3, then the agent is more likely to adopt strategy 2 due to its prevalence.
So the weight that captures how likely an agent will adopt a certain strategy in the next round of the game is a function of the probability times the payoff.
If we wanted to think about this in a more intuitive way, we might think of having a bag of balls where the ball represents a strategy that will be played in the game. If a strategy has a better payoff then it will be a bigger ball and you will be more likely to pick that bigger ball.
Equally, if there are more agents using that strategy in the population, there will be more balls in the bag representing that strategy, meaning again you will be more likely to choose it. The replicator model is simply computing which balls will get selected and thus what strategies will become more prevalent.
One thing to note though is that the theory typically assumes large homogeneous populations with random interactions. The replicator equation differs from other equations used to model replication in that it allows the fitness function to incorporate the distribution of the population types rather than setting the fitness of a particular type constant. This important property allows the replicator equation to capture the essence of selection. But unlike other models, the replicator equation does not incorporate mutation and so is not able to innovate new types or pure strategies.
FISHERS FUNDAMENTAL THEOREM
An interesting corollary to this is what is called Fisher’s Fundamental Theorem, which is a model that tries to capture the role that variation plays in adaptation. The basic intuition is that a higher variation in the population will give it greater capacity to evolve optimal strategies given the environment.
Thus given a population of agents trying to adapt to their environment, the rate of adaptation of a population is proportional to the variation of types within that population. Fisher’s Fundamental Theorem then works to incorporate this additional important parameter, of the degree of variation among the population, so as to better model the overall process of strategy evolution.
GAMES
Static game-theoretic solution concepts, such as Nash equilibrium, play a central role in predicting the evolutionary outcomes of game dynamics.
Conversely, game dynamics that arise naturally in analyzing behavioral evolution lead to a more thorough understanding of issues connected to the static concept of equilibrium. That is, both the classical and evolutionary approaches to game theory benefit through this interplay between them.
Replicator Dynamic models have become a primary method for studying the evolutionary dynamics in games both social, economic and ecological.
John Nash, the US mathematician who has died at 86, is hailed with putting game theory at the heart of economics. Ferdinando Giugliano explains why his work is so important and how the Nash equilibrium theory works.
As we saw in the previous chapter on evolutionary games, when everyone was playing a random strategy it was best to play a Tit for Tat strategy. When everyone was playing a Tit for Tat strategy it was best to play Generous Tit for Tat. When people were playing this, it was then best to play an unconditional cooperative strategy. Once the game was in this state it was then best to play a defecting strategy, thus creating a cycle. This illustrates clearly the dynamic nature to the success of strategies within games.
Because evolutionary games are dynamic, meaning that agents’ strategies change over time, what is best for one agent to do often depends on what others are doing.
It is legitimate for us to then ask, are there any strategies within a given game that are stable and resistant to invasion?
In studying evolutionary games one thing that biologists and others have been particularly interested in is this idea of evolutionary stability, which are evolutionary games that lead to stable solutions or points of stasis for contending strategies.
Just as equilibrium is the central idea within static noncooperative games, the central idea in dynamic games is that of evolutionarily stable strategies, as those that will endure over time.
As an example, we can think about a population of seals that go out fishing every day. Hunting for fish is energy consuming and thus some seals may adopt a strategy of simply stealing the fish off those who have done the fishing. So if the whole population is fishing then if an individual mutant might be born that follows a defector strategy of stealing, it would then do well for itself because there is plenty of fishing happening. This successful defector strategy could then reproduce creating more defectors. At which point we might say that this defecting strategy is superior and will dominate. But of course, over time we will get a tragedy of the commons situation emerge as not enough seals are going out fishing. Stealing fish will become a less viable strategy to the point where they die out, and those who go fishing may do well again.
Thus the defector strategy is unstable, and likewise, the fishing strategy may also be unstable. What may be stable in this evolutionary game is some combination of both.
EVOLUTIONARILY STABLE STRATEGY
The Evolutionarily Stable Strategy is very much similar to Nash Equilibrium in classical Game Theory, with a number of additions.
Nash Equilibrium is a game equilibrium where it is not rational for any player to deviate from their present strategy.
An evolutionarily stable strategy here is a state of game dynamics where, in a very large population of competitors, another mutant strategy cannot successfully enter the population to disturb the existing dynamic.
Indeed, in the modern view, equilibrium should be thought of as the limiting outcome of an unspecified learning, or evolutionary process, that unfolds over time. In this view, equilibrium is the end of the story of how strategic thinking, competition, optimization, and learning work, not the beginning or middle of a one-shot game.
Therefore, a successful stable strategy must have at least two characteristics.
One, it must be effective against competitors when it is rare – so that it can enter the previous competing population and grow.
Secondly, it must also be successful later when it has grown to a high proportion of the population – so that it can defend itself.
This, in turn, means that the strategy must be successful when it contends with others exactly like itself. A stable strategy in an evolutionary game does not have to be unbeatable, it only has to be uninvadable and thus stable over time.
A stable strategy is a strategy that, when everyone is doing it, no new mutant could arise which would do better, and thus we can expect a degree of stability.
UNSTABLE CYCLING
Of course, we don’t always get stable strategies emerge within evolutionary games. One of the simplest examples of this is the game Rock, Paper, Scissors.
The best strategy is to play a mixed random game, where one plays any of the three strategies one-third of the time.
However in biology, many creatures are incapable of mixed behavior — they only exhibit one pure strategy. If the game is played only with the pure Rock, Paper and Scissors strategies the evolutionary game is dynamically unstable. Rock mutants can enter an all scissor population, but then – Paper mutants can take over an all Rock population, but then – Scissor mutants can take over an all Paper population – and so on.
Using experimental economic methods, scientists have used the Rock, Paper, Scissors game to test human social evolutionary dynamical behaviors in the laboratory. The social cyclic behaviors, predicted by evolutionary game theory, have been observed in various lab experiments.
Likewise, it has been recorded within ecosystems, most notably within a particular type of lizard that can have three different forms, creating three different strategies, one of being aggressive, the other unaggressive and the third some what prudent. The overall situation corresponds to the Rock, Scissors, Paper game, creating a six-year population cycle as new mutants enter and become dominant before another strategy invades and so on.
