Search Results - subject:"convex geometry"

The duality between the anti-exchange closure operators and the path independent choice operators on a finite set,

Monjardet, Bernard; Vololonirina, Raderanirina - HAL - 2001

In this paper, we show that the correspondence discovered by Koshevoy ([18]) and Johnson and Dean ([15],[16]) between anti-exchange closure operators and path independent choice operators is a duality between two semilattices of such operators. Then we use this duality to obtain results...

Persistent link: https://www.econbiz.de/10010750675

Some properties of the core on convex geometries

Okamoto, Yoshio - In: Computational Statistics 56 (2003) 3, pp. 377-386

A game on a convex geometry was introduced by Bilbao as a model of partial cooperation. We investigate some properties … of the core of a game on a convex geometry. First, we show that if a game is quasi-convex, then the core is stable. This … the class of balanced games on a convex geometry has a consistency property, called the reduced game property. Moreover …

Persistent link: https://www.econbiz.de/10010847692

Some properties of the core on convex geometries

Okamoto, Yoshio - In: Mathematical Methods of Operations Research 56 (2003) 3, pp. 377-386

Persistent link: https://www.econbiz.de/10010950112

Values and potential of games with cooperation structure

Bilbao, Jesßs-Mario - In: International Journal of Game Theory 27 (1998) 1, pp. 131-145

Games with cooperation structure are cooperative games with a family of feasible coalitions, that describes which coalitions can negotiate in the game. We study a model of cooperation structure and the corresponding restricted game, in which the feasible coalitions are those belonging to a...

Persistent link: https://www.econbiz.de/10005598426