# Questions tagged [nash-equilibrium]

For questions regarding the the Nash equilibrium solution concept in strategic games.

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### Find all Nash equilibrium given a game

Consider the following: How can we find all Nash equilibrium of the game given that the attacker cannot perform surveillance. I think for a mixed strategy there is but for a pure there isn't, but ...
1 vote
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### Using stric / weak dominant strategy to get 2x2 matrix in Game Theory

I've encountered a problem with a 2x3 game where I need to find Pure NE and Mix NE so I thought it's better first to get a 2x2 matrix. For some reason I find it very difficult to solve this with ...
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### Nash Equilibrium: Mixed Strategies calculation

How do I find mixed strategies for this game after eliminating all these dominated strategies? Nash equilibrium game I know that B strictly dominates both C and D for player 2. Deleting C and D for ...
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### Solving Mixed Strategies Equilibria

I know that A strictly dominates B for player 2. So after deleting the B for player 2, B strictly dominates A and C for player 1. How do I find the mixed strategies Nash equilibria for this game after ...
17 views

### Nash equilibrium - dollar contribution

There are 2 players. Each has an endowment of 10 dollars and chooses how many dollars to contribute to a public pool. Call x1 and x2 the contributions of player 1 and player 2, respectively. If x1 + ...
1 vote
40 views

### Can Nash Equilibrium strategy be exploited, if another player deviates?

Consider a 3 player game (e.g. poker for 3 people). Nash equilibrium is a set of strategies $s_1, s_2, s_3$, such that the expected profit value for each player $s_i$ $E_i(s_1, ..., s_i', ..., s_N)$ ...
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### Can braess routes change dynamically with respect to changing demand in a network

Braess Paradox is a counter intuitive phenomenon where removing a link from a network increases the network efficiency. Usually these links are detected over long period of time in an average ...
69 views

### UNO Card Game and Game Theory

I've recently been trying to create a computer program which plays UNO against human opponents (and usually wins); however, because I have very little experience in game theory, I have been unable to ...
7 views

### Adjusting payoffs has unintuitive effect on optimal strategies in bimatrix games

Consider the game Rock-Paper-Scissors. If we award a win with $1$, a loss with $-1$ and a draw with $0$, we get the following bimatrix game (with rewards ordered as row player, then column player): R ...
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### Do Subgame Perfect Nash Equilibria (SPNE) allow for credible threats?

Consider the following extensive-form game: In one alternative, Player 2 chooses G and E and Player 1 chooses D. However, Player 2 can increase her gain by making a credible threat and switch from G ...
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