# Questions tagged [nash-equilibrium]

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

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### Finding a Nash equilibrium

I'm doing the exercises at the end of the paper A Brief Introduction to the Basics of Game Theory by Matthew O. Jackson. I would be grateful if somebody could provide me with solutions to it. I'm not ...
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### Upper-hemicontinuous of infinitely repeated rubinstein game

Given an infinitely repeated Rubinstein Bargaining Game (for those who are not familiar with this game, here is its description). Prove that it is upper-hemicontinuous. My attempt: I can find the ...
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### n-firm Cournot model in an infinitely repeated game

Given $n$ firms ($n\geq 3$). Assume $x_i\in R^{+}$. The market price is $1-\sum_{i=1}^{n} x_i$ if $1-\sum_{i=1}^{n} x_i\geq 0$, and $0$ otherwise. Each firm has a constant marginal cost of $c<1$. ...
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### Big zero sum game matrix

I've been trying to solve a nash equilibrium for a game. The game is zero sum and symmetric. Unfortunately, it is also quite large. The payoff matrix is (n! , n!) in size. To simplify, I used n=4 (the ...
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### Guess the Average Game; Nash Equilibria and n-Person Games

Game: Guess the Average (a) Consider the following n-person game. Each person writes down an integer in the range 1 to 100. A reward is given to the person whose number is closest to the mean. (In ...
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### Finding Payoff Matrix and Nash Equilibria

There are two drivers, one who will travel from A to C, the other from B to D. Each road is labeled (x;y), where x is the cost to any driver who travels the road alone, and y is the cost to each ...
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### Are all strategies that survive IESDS part of Nash equilibria?

I know that Iterated Elimination of Strictly Dominated Strategies (IESDS) never eliminates a strategy which is part of a Nash equilibrium. Is the reverse also true? And is there a proof somewhere? I ...
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### What is the expected payoff in the following matching pennies game

So we have the following matching penny game $\begin{bmatrix} \ & L & R \\ T & (1,-1) & (-1,1)\\ B & (-1,1) & (1,-1) \end{bmatrix}$ Let $p_1$ denote the row player, $p_2$ ...
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### First-price sealed-bid auction with information advantage

Consider two bidders $A$ and $B$ bidding for a box of 10 coins. The auction is performed in a first-price sealed-bid manner. The winner gets $k$ dollars if there are $k$ heads in the box. The ...
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### Best Pokemon Type

There are 18 different types in pokemon with different strengths and weaknesses like rock-paper-scissors. For example, Fire beats Grass, Grass beats Water, and Water beats Grass. My goal is to ...
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### Minmaxizer maxminimizer definition

I have trouble understanding the definition of these two terms after reading these two sites. http://www.science.unitn.it/~bagagiol/esercizi_game_theory.pdf A notation mistake in MinMaximizer? It ...
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### Evolutionarily stable strategy and Harm thy neighbor

I'm studying ESS, and I have found the harm my neighbor example on wikipedia: https://en.wikipedia.org/wiki/Evolutionarily_stable_strategy in Examples of differences between Nash equilibria and ...
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### Proving existence of a Nash equilibrium without fixed-point theorems

Is there a way to prove the existence of a Nash equilibrium in finite games without using Kakutani or Brouwer's fixed-point theorems?
It is a game with the following rules. It is loosely based off a game called goofspiel but I want to see if the rules can apply to a continuous variant. There are 2 players $A$ and $B$. Each defines ...