3 citations · 5 across the 17 of their papers we have counts for
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math.OC2018
On zero-sum game formulation of non zero-sum game
Yasuhito Tanaka
We consider a formulation of a non zero-sum n players game by an n+1 players zero-sum game. We suppose the existence of the n+1-th player in addition to n players in the main game,…
math.OC2018
Sion's mini-max theorem and Nash equilibrium in a multi-players game with two groups which is zero-sum and symmetric in each group
Atsuhiro Satoh, Yasuhito Tanaka
We consider the relation between Sion's minimax theorem for a continuous function and a Nash equilibrium in a multi-players game with two groups which is zero-sum and symmetric in…
math.OC2018
Nash equilibrium in asymmetric multi-players zero-sum game with two strategic variables and only one alien
Atsuhiro Satoh, Yasuhito Tanaka
We consider a partially asymmetric multi-players zero-sum game with two strategic variables. All but one players have the same payoff functions, and one player (Player ) does no…