Questions tagged [repeated-games]
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37 questions
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SPE in finitely repeated game
In a repeated game with $n \geq 3$ periods and no discounting ($\delta = 1$), Player 1 picks an action $a \in \{G, B\}$ in period 1 that is then fixed for all periods. Player 2 chooses action $L$ or $...
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Finitely repeated game when payoffs are realised after each period
Suppose player 1 is a producer who can decide the quality of his production at the beginning of each period. So he has two strategies - Good, Bad. Player 2, the buyer decides at the beginning of each ...
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Repeated Interactions Among Groups
I'm looking for a model of repeated interactions that extends the standard framework of repeated games by introducing fixed groups of agents.
We have $n$ agents divided into $\ell$ groups. In each ...
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How does a machine act in infinitely-repeated games, provided a history unaligned with the machine?
I am practicing with infinitely repeated games and machines/automata.
The question pertains to a $\delta$-discounted prisoner's dilemma with payoffs $(C,C)=(3,3)$, $(C,D)=(0,4)$, $(D,D)=(1,1)$, $(D,C)=...
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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 $a_t$ ...
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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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How does this reporting correspondence is redefined?
Let $\mathcal{R}_i$ be a non-empty, finite set and define the reporting correspondence $R_i:S→2^{\mathcal{R}_i}-\{\emptyset\}$ to be a mapping from player i’s type space to the collection of subsets ...
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How to show that a strategy is a SPNE in repeated games
Consider the down below
which I have trouble with solving.
For part 1) I have said that a possible outcome path is to play $(D,D)$ in the first round and for all rounds following until $i \leq 298$. ...
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Simultaneous vs Sequential Games [closed]
Is there a way to characterize the distinction between simultaneous vs sequential games? I'm trying to describe a situation where players can only take actions without knowledge of other players' ...
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Finitely repeated Prisoner’s Dilemma with switching cost
I'm doing this finitely repeated Prisoner's dilemma with switching costs but I have trouble showing the fact that $\varepsilon$ had to be $1 < \varepsilon < 2$. I do see why and that it is a ...
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Infinitely repeated game with stationary and symmetric equilibrium
We have two players playing a repeated game. At every period, each player decides to stay or to quit. If both decide to stay, then they both receive 1. If either decides to quit, then the quitter ...
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Finitely repeated prisoner's dilemma without sub-game perfection
Suppose that two individuals play the prisoner's dilemma (PD) a finite number of times; and assume that they both discount the future at a constant rate. Can cooperation be sustained by a Nash ...
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Could someone help guide me on finding the players with perfect recall, and those without?
Could someone help guide me on finding the players with perfect recall, and those without?
For those players that do not have perfect recall, what do they forget? Step-by-step guidance would be ...
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