2 problems

Payoff imbalance in Nash equilibria of the imbalanced $(m,2k+1)$ -RPS game
Consider the given imbalanced $(m,2k+1)$ -RPS game and a Nash equilibrium $N$ . Let $P_i(S)$ be the probability that player $i$ plays $S$ , and let $P_i(T_p)$ be the probability that…
openFrom papersgame-theory nash-equilibrium rock-paper-scissors
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9
Blow-up conjecture for maximally imbalanced strongly playable RPS games
An $m$ -player $(2n+1)$ - $RPS$ game is a game with $2n+1$ objects and $m$ players interacting through the paper's $RPS$ payoff structure. A blow-up of a game $G_1$ at an object repla…
openFrom paperscombinatorial-games game-theory rock-paper-scissors
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6

Payoff imbalance in Nash equilibria of the imbalanced (m,2k+1)(m,2k+1)(m,2k+1)-RPS game