We present a sufficient condition under which the α-coalitional game associated with a strategic form game is ordinally convex and balanced. The n-person prisoners’ dilemma games satisfy this condition. Copyright Springer-Verlag 2004

Metzler functions arise in various kinds of system optimization problems such as the stable matching of two-sided markets and the α-cores of games with punishment-dominance relations. In this paper, we discuss the shortest-path problem as an application of the theory of Metzler functions. We...

In this article, we consider a many-to-one two-sided matching market and define a canonical strategic form game, in which any worker applies to the top k firms and is assigned to the most preferred firm that does not reject him/her. Under the substitute property of firms' preferences, the game...

In this note, we demonstrate, in a simpler and more direct manner than done in existing literature, the existence of an equilibrium in a market whose excess demand function has the gross substitute property.

We describe the mechanism of feedback methods of counting single transferable votes, such as Meek's method, in the framework of n-person strategic games. We show that the games are in the class introduced by Masuzawa (International Journal of Game Theory 32:2003 and 37:2008), and that for any...