Questions tagged [nash-equilibrium]
The nash-equilibrium tag has no usage guidance.
7
questions with no upvoted or accepted answers
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Poker with infinite stack size
In two-player No Limit Texas Hold 'Em (NLHE), the optimal strategy depends on the "effective stack size," that is maximum amount of money held by one of the players (in the sequel I'll just ...
3
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General way to find Nash equilibrium in continuous game
I'm really interesting how to find Nash equilibrium in a continuous game with two players in the general case.
Let's consider a game with continuous utility functions $F_1, F_2 : [0, 1] \times [0, 1]...
2
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Equilibrium for a game with mixed strategies on a compact ultrametric space
Let $(X,d)$ be a compact ultrametric space. Hartig and de Vink considered the following ultrametric on the set $P(X)$ of probability on $X$:
$$\hat d(\mu,\nu)=\inf\{r>0:\forall x\in X\;\;\mu(B_r(x))...
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Existence and uniqueness of solution of a nonlinear system
I need a proof of the following result to calculate a Nash equilibrium in the Showcase Showdown game.
For all $n>1$, the system of equations
$$\left\{
\begin{aligned}
(1+e^{x}(-1+x))^{n-2}&=\...
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Nash Equilibria change linearly in (some) game parameters. Already known / follows from a more general result?
EDIT: The key thing that I am wondering about is the linearity of the P2 strategy, not the constancy of P1. (The latter is straightforward.)
Question: Is the following result already known? Or is it a ...
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Nash equilibrium as the number of players goes to infinity
I'm trying to find results that characterize the Nash equilibrium in a multi-player game as the number of players $N$ goes to infinity.
The game could be symmetrical, or maybe there could be a ...
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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, ...