# Questions tagged [repeated-games]

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### About the normal form of a repeated game

Consider an infinitely-repeated game with perfect monitoring and pure strategies. The one-shot deviation principle tells us that a strategy profile $\sigma$ is a subgame perfect Nash equilibrium if ...
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### "Repeated games have the additional property that every history gives rise to an identical continuation game."

I am reading Mailath and Samuelson (2006), and I struggle to understand the sentence they have at p.191 on infinitely-repeated games: "Repeated games have the additional property that every ...
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### Definition of stationary subgame perfect Nash Equilibrium in a repeated game

Consider a standard $n$-players infinitely-repeated game with pure strategies. Let $\sigma_i$ be the strategy of player $i$. In particular, $\sigma_i$ maps each history $h_t$ to a pure action $a_t$ ...
1 vote
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### Slight Uncertainty of Continuation in Repeated Prisoner's Dilemma

In a repeated prisoner's dilemma with some probability δ of continuing after each round, a Subgame Perfect Nash Equilibrium may be found which induces cooperation instead of defection in each round. ...
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### Tit-For-Stat Strategy Best Replies

Let $\delta\in(0,1)$ be the discount factor. Consider the stage game in the infinitely repeated prisoner's dilemma game: The goal is to derive conditions on $\delta$ such that the symmetric tit-for-...
2k views

### Game theory with rational and irrational players

Are there game theoretic models where one player is rational and the other is irrational (i.e., plays with behavioral limitations)? The motivation for this question is that behavioral economics has ...
2k views

### Nash Equilibrium of modified Keynes' beauty contest

Recently I conducted a small game among students of our institute. The game was based on Keynes' beauty contest game. The participants had to guess a number between 0 to 100 and the participant whose ...
64 views

### Is it possible to transfer information through strategic games?

Let's say that there are 2 players Player A and Player B, engaged in a set of repeated strategic games. Is it then possible to transfer information from one player, say Player A, to the other player, ...
1 vote
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### Collusion, deviation from equilibrium

Two firms can produce either low (L), medium (M) or high (H) quantity. The payoff matrix is given by: What is the outcome of this game if firms play only once? Suppose the game is played for infinite ...
262 views

### Payoffs in an infinitely-repeated game with discounting

Consider a game with the following payoff matrix: 3,5 0,0 0,0 0,0 5,3 0,0 0,0 0,0 0,0 Suppose the game is played infinitely many times, and both ...
64 views

### Maximum level of profit attainable when discount factor is too low

This is a question I encountered during my undergraduate studies in Industrial Economics. So the question goes like this: Consider two identical firms with constant marginal cost $c$ which ...
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1 vote
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### Repeatedly playing an equilibrium in a repeated game

What is a formal proof to this known fact about repeated games? The situation in which, in every time step, the players play a Nash equilibrium in the basic game unconditioned on history, is a Nash ...