论文信息 - Game Formats as Chu Spaces

Game Formats as Chu Spaces

It is argued that when morphisms are ignored virtually all coalitional, strategic and extensive game formats as currently employed in the extant game-theoretic literature may be presented in a fairly natural way as (concrete categories over) discrete subcategories of Chu(Set,2). Moreover, under a suitable choice of coalitional morphisms, coalitional game formats are shown to be (concrete categories over) full subcategories of Chu(Set,2).

Stefano Vannucci | S. Vannucci

[1] H. Moulin,et al. Cores of effectivity functions and implementation theory , 1982 .

[2] Reinhard Selten,et al. Cyclic Games: An Introduction and Some Examples , 2001, Games Econ. Behav..

[3] Robert W. Rosenthal,et al. Cooperative games in effectiveness form , 1972 .

[4] Radha Jagadeesan,et al. Games and Full Completeness for Multiplicative Linear Logic , 1994, J. Symb. Log..

[5] Stef Tijs,et al. Effectivity Functions and Associated Claim Game Correspondences , 1995 .

[6] Tatsuro Ichiishi,et al. On Peleg's theorem for stability of convex effectivity functions: An alternative proof and an application to authority structures , 1989 .