# Questions tagged [evolutionary-game-theory]

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17 questions
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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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### 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 ...
1answer
103 views

### 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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223 views

### 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 ...
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277 views

### Two questions about Nash Equilibrium

I'm reading an introductory book on game theory, but I'm confused by Nash Equilibrium, can someone explain to me the following questions? Will the iterated elimination of strictly dominated ...
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91 views

### Why do symmetric Nash equilibria satisfies $f_i(e^j_i,x_i) = f_i(x_i,x_i)$

Some simple notations Let $I = \{1, \ldots, N\}$ and consider a $N$ player game with strategies $S = \{1, \ldots, n \}$. Let $e^j_i = [0, \ldots, \underline{1}_\text{jth position}, \ldots 0]$ ...
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### Useful analogy to interpret the notion of evolutionary stable strategy (ESS)

I am seeking a good analogy to understand the concept of evolutionary stable strategy (state) Let $\pi$ denote the fitness of a population, $\pi_{ij}$ is the fitness of strategy $i$ against strategy \$...