3 citations · 5 across the 17 of their papers we have counts for
7 papers · 1 filter
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,…
Sion's mini-max theorem and Nash equilibrium in a five-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 five-players game with two groups which is zero-sum and symmetric in e…
Nash equilibrium of partially asymmetric three-players zero-sum game with two strategic variables
Atsuhiro Satoh, Yasuhito Tanaka
We consider a partially asymmetric three-players zero-sum game with two strategic variables. Two players (A and B) have the same payoff functions, and Player C does not. Two strate…
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…
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…
On the relation between Sion's minimax theorem and existence of Nash equilibrium in asymmetric multi-players zero-sum game with only one alien
Atsuhiro Satoh, Yasuhito Tanaka
We consider the relation between Sion's minimax theorem for a continuous function and a Nash equilibrium in an asymmetric multi-players zero-sum game in which only one player is di…