New answers tagged nash-equilibrium
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About infinite strategy sets and $\epsilon$-equilibrium from Game Theory: Analysis of Confilct by Roger Myerson
It doesn't matter whether one uses mixed or pure strategies in that place.
If a mixed strategy $\tau_i\in\Delta(C_i)$ leads to a payoff larger than $u_i(\sigma)+\epsilon$, it must put positive ...
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Auction with independent private values - An example from Game Theory: Analysis of Conflict by Roger Myerson
(1) The auction is a Bayesian game. Players' types are their values, and their actions are their bids. A strategy in a Bayesian game is a function mapping types to actions. Here, this is a "bid-...
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Using Variance for Nash Equilibrium
There's no need to consider the variance of payoffs when playing mixed strategies. Players' attitudes towards risk is already taken account of. This is because the "payoff" they receive is ...
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Equilibrium of Perturbed Dollar Auction Game - An Example from Game Theory: Analysis of Conflict by Roger Myerson
Let us describe the mixed strategy played by both players 1 and 2 using the probability density function $f$. We say that a pure strategy $x$ is in the support $S$ of a mixed strategy $f$ if $f(x)>...
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Nash Equillibrium - Depend On The Opponent's Strategy?
The definition of a NE is not that a player cannot increase his payoff by changing his action, its that he cannot increase his payoff by changing his strategy. A strategy in a repeated game is a "...
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