Questions tagged [nash-equilibrium]
For questions regarding the Nash equilibrium solution concept in strategic games.
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Does Nash Equilibrium say anything about odds?
Edited after good comment from @lulu
I'm struggling with the concept of a Nash Equilibrium.
I'm getting confused by comparing the prisoners dilemma with a game like rock-paper-scissors. The prisoners ...
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Is it Possible to Define the Price of Stability (PoS) for a Game with Only One Nash Equilibrium?
I have a question regarding the concept of the price of stability (PoS) in game theory. The PoS is typically defined as the ratio of the cost (or utility) of the best Nash equilibrium to the cost (or ...
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A very basic Game theory doubt
I was going through the Blockchain Documentation and on section 1.8 they talk about Nash Equilibria
My very modest understanding of the term is that it is a set of strategies for each player where ...
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The existence of pure strategy nash equilibrium and best responses
I am studying game theory with Fudenberg and Tirole, and not so familiar with this area of economics.
Suppose there are only two players in a strategic game with complete information. Then, is the ...
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How to solve for Nash Equilibrium?
Image:
I am currently studying for a college exam next week in Games Theorie. Unfortunately the example questions are very different to the course material and im stuck on this one. I would solve the ...
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Understanding Nash Equilibria in a Bimatrix Game
I am currently studying game theory and I came across a problem involving a bimatrix game. The bimatrix is given by:
$$
(A, B) =
\begin{pmatrix}
(4, 2) & (0, 0) \\
(0, 0) & (1, 3)
\end{...
user1055322
3
votes
1
answer
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prisoner's dilemma bimatrix
I have a question about the following derivation
Consider the prisoner's dilemma with the following bimatrix:
$$
(A, B) =
\begin{pmatrix}
(-5, -5) & (-1, -10) \\
(-10, -1) & (-2, -2)
\end{...
user1324054
3
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2
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Bimatrix Game: Nash Equilibrium and Safety Levels
I am studying the following example but don't understand how the solution works:
Consider the following bimatrix game:
$$ (A, B) = \begin{pmatrix} 4 & 2 & 0 & 0 \\ 0 & 0 & 1 & ...
user1101956
-1
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1
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Given a 3-player game and 3 utilility matrices which determine the profit of each player. Provide an algorithm to calculate nash equilibrium. [closed]
There is a 3-player game that player-1 has n actions, player-2 has m actions, and player-3 has p actions. Furthermore, 3 utilility matrices n×m, n×p, and m×p which determine the profit of each player ...
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Finding the Values of x for Different Numbers of Nash Equilibria in a Bimatrix Game
I am currently studying game theory and I've come across a problem involving a bimatrix game that I'm having trouble with. I would appreciate any help or guidance.
The Problem:
Consider the following ...
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Are pure Nash Equilibria better than Mixed Nash Equilibria
Let's consider this 3x3 game:
\begin{matrix}
&A&B&C \\
A&1,1 & 10,0 & -10,1 \\
B&0,10 & 1,1 & 10,1 \\
C&1,-10 & 1,10 & 1,1
\end{matrix}
Player 1 is ...
2
votes
1
answer
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Visualizing Best Response Functions in a 4-Player Game: Seeking Nash Equilibrium
I have a game with 4 players, each of whom must minimize a cost function. The strategic leverages of the 4 players are indicated by the variables: $s_i$, $s_j$, $c_i$, $c_j$.
I would like to find the ...
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Existence of Nash Equilibrium in a Game with Mixed Strategy Spaces
I am considering formulating an applied research problem as a simultaneous zero-sum game with two players. The first player's set of actions is an infinite and compact subset of $\mathbb{R}^n$, while ...
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Difference between a pure and a mixed nash equilibrium
There is a game with 3 agents where each agent invest their effort into 2 tasks. Their efforts add up to 1 and they get rewarded a task based on the effort they put in divided by the total effort. The ...
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Finding whether a mixed nash equilibrium exists in a 3 player game
In this game, there are three agents and two tasks.
$c_i$ denotes the cost of agent $i$'s effort. (In this case $c_1 = 1, c_2 = 2, c_3 = 3$)
$V_j$ denotes the reward for the tasks. (In this case $...
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