Questions tagged [nash-equilibrium]

A basic solution concept in game theory that requires each player to select their best response to the strategies chosen by others.

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perfect bayesian nash equilibrium is simply nash equilibrium

Is it true that for two player zero sum game, Perfect Bayesian Nash equilibrium is simply Nash Equilibrium? I am learning game theory and our lecturer does not explicitly cover it.
user40780
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how to find Cournot equilibrium for 2 firms having different MC?

When MC function is different for both the firms, how will MR = MC work ?
ADubey
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Proof of existence and uniqueness

Please help me out with the conditions for existence of a pure strategy Nash equilibrium. The game is one of two players with symmetric strategies. After that, please help me out with the conditions needed to show uniqueness of my closed form…
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Iterative deletion and Nash equilibria in a 3 players game

I was waked with finding all the Pure Nash Equilibrium in this game. After using the "circle the best response" method of finding each players rational choices it seems as though there is no Nash Equilibrium. That appear to only be points at which…
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Signaling Game: Beer and Quiche Payoffs and Extensive Form Representation

I am working on a signaling game scenario named "Beer and Quiche" and need some assistance with understanding the payoffs and representing the game in an extensive form. In this game, there are two types of senders: type 1 ("coward") with a…
lasagna
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Nash Equilibria in a Game with Three Firms and a Shared Resource

I’m trying to understand the Nash equilibria in a game involving three firms that use water from a shared lake. Each firm can choose to purify the water before returning it to the lake or not purify it (and therefore pollute the lake). The cost of…
lasagna
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Is there a mixed strategy in dominance solvable game?

If a game is dominance solvable, is there a mixed strategy NE? If there is, how do I solve that?
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How to derive a Nash equilibrium pure strategy in a linear Cournot Model

Suppose there are $N$ firms each with the same positive marginal cost $c$. How would I go about finding a pure strategy Nash Equilibrium for the firms? Suppose the Inverse Demand curve is defined: $p=a-Q$ with $Q$ being the market output.
Lola1984
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