Convex Games with Countable Number of Players and Sequencing Situations

Abstract

In this paper we study convex games with an infinite countable set of agents and provide characterizations of this class of games.Some difficulties arise when dealing with these infinite games, especially to tackle the vectors of marginal contributions.In order to solve these problems we use a continuity property.Infinite sequencing situations where the number of jobs is countable infinite and the related cooperative TU games are introduced.It is shown that these infinite games are convex and the marginals associated with some orders turn out to be extreme points of the core.

Keywords: Cooperative games, countable number of players, convexity, infinite sequencing situations

JEL Classification: C71