# Questions tagged [evolutionary-game-theory]

Evolutionary game theory is the application of game theory to evolving populations in biology. It defines a framework of contests, strategies, and analytics into which Darwinian competition can be modelled.

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### sample variance correction without sample size?

Does Bessel's correction have some generalization to if we do not know the sample size itself but instead do have some rate of occurrence estimate, or a probability estimate or similar? I was ...
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### Interpreting replicator dynamic for simplest population model

Suppose the simplest population model where we track the size $y$ of a population: $$\frac{dy}{dt} = ry$$ for a positive constant $r$ and some $y$ such that $y(0) > 0$. For this population model ...
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### Evolutionarily stable strategy and Harm thy neighbor

I'm studying ESS, and I have found the harm my neighbor example on wikipedia: https://en.wikipedia.org/wiki/Evolutionarily_stable_strategy in Examples of differences between Nash equilibria and ...
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### Probability of Extinction in microbial cell line

Suppose a single cell microbe can replicate into two cells during replication event. The probability that a cell is still alive until this event is given by $x$. Suppose we start with one single cell ...
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### Three players mixed strategy nash equilibrium problem

The table above represents payoff for three players game accordingly. The probability for z1 is z and z2 is (1-z), r1 is r and r2 is (1-r) meanwhile for p1 is p and p2 is (1-p). Firstly, I would like ...
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### How is the replicator dynamic a gradient flow of the Fisher information metric?

I am trying to understand how the replicator dynamic can be derived as a gradient flow of the Fisher information metric (aka Shahshahani metric). I have a question about understanding a particular ...
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1 vote
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### Checking whether a Mixed Strategy Nash Equilibrium is Evolutionary Stable

Taking the classic Hawk-Dove game I know that there are 3 mixed strategy Nash Equilibria, (H,D), (D,H), and the mixed strategy ((7/12, 5/12), (7/12,5/12)), where those are probabilities of playing H ...
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### Repeated prisoner's dilemma with a random number of repetitions

During my summer study I have thought of the following problem. My knowledge about game theory is at the level of "Introduction to game theory" by Osborne. Problem: Given a two-players repeated ...
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### Existence test for a strategy that is dominated by a mixed strategy

I have a problem in evolutionary optimization that I think resembles a question that arises in game theory. Suppose a population lives in a fluctuating environment. The environment $G_t$ takes on one ...
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### Fields of Interest in Game Theory for a Mathematics Dissertation

So In my final year of my Undergraduate Degree (Studying Mathematics and Economics) I have decided to focus my Undergraduate project on Game Theory. I have done quite a bit of research, and I get ...
1 vote