On two-point Nash equilibria in bimatrix games with convexity properties

• Autorzy: Wojciech Połowczuk
• Języki publikacji: EN

Abstrakty

EN

This paper considers bimatrix games with matrices having concavity properties. The games described by such payoff matrices well approximate two-person non-zero-sum games on the unit square, with payoff functions F₁(x,y) concave in x for each y, and/or F₂(x,y) concave in y for each x. For these games it is shown that there are Nash equilibria in players' strategies with supports consisting of at most two points. Also a simple search procedure for such Nash equilibria is given.

Kategorie tematyczne

• 91A05: 2-person games

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2006
• Tom: 33
• Numer: 1
• Strony: 71-84

Daty

wydano

2006

Twórcy

autor

Wojciech Połowczuk

• Institute of Mathematics, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland

Identyfikatory

DOI

10.4064/am33-1-6