# Questions tagged [nash-equilibrium]

The nash-equilibrium tag has no usage guidance.

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### Strong Nash Equilibria in repeated games

Suppose we have a simultaneous game, that has a strong Nash equilibrium (SNA), i.e. a weak Pareto efficient Nash equilibrium (no deviation of any subset of player brings a benefit to them).
Now ...

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### On the limit of assessments that are not sequentially rational

I have asked this question in Mathematics StackExchange, but there is no response yet. I've just realized that here is the right forum for asking research level questions... :'(
In game theory, in ...

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### Effective way to find Nash equilibrium

Is there any good algorithm for finding Nash equilibrium point, for one and repeated game theory? Thansk a lot for giving me some guidance.

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### Completely mixed Nash equilibrium points

Must an isolated completely mixed Nash equilibrium (i.e., all strategies for all players receive positive weight) be essential?
(By essential, I mean the equilibrium z of the game G that for every ...

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### for which values of $\theta$ does this equation $x_{n+1}=\cos(\theta)x^2_{n}-\sin(\theta)x^2_{n-1}$ have bounded solutions?

I would like to investigate the global behavior of the following equation :
$$x_{n+1}=Ax^2_{n}-Bx^2_{n-1}$$
where $A(\theta)= \cos(\theta)$ and $B(\theta) =\sin(\theta)$ are nonnegative parameters ...

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### Boundedness of solutions of a difference equation

Is there someone who can show me how I can prove this conjecture? Or at least show me how to do the first implication ?
Conjecture: Assume $\alpha,\beta, \lambda \in [0,\infty)$. Then every ...

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### (linear algebra) - Can a symmetric equilibrium achive higher social-welfare than some equilibrium with the same support?

EDIT: rewritting the question to linear algebra to make it more accessible.
Denote by $\Delta([n])$ the set of all probability distributions over $\{1,2,\ldots,n\}$, that is:
$$\Delta([n])=\{x\in[0,...

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### Is there always a symmetric “subset equilibrium” for an equilibrium in a symmetric game?

Consider a 2-player symmetric game given by a payoff matrix $A\in [0,1]^{n,n}$ for the row player (i.e. the column player matrix is $A^t$).
Let $s=<s_1,s_2>$ be a (possibly mixed-strategies, ...

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### What is known about multiplayer poker with flop?

I am interested in the following simplified version of poker.
Each player gets a card (for example, either A or B).
Then they bet knowing their own cards (for example, the pot initially has 1 euro, ...