Convex games with countable number of players and sequencing situations

V. Fragnelli, N. Llorca, J. Sánchez-Soriano, S.H. Tijs, R. Brânzei

Research output: Contribution to journalArticleScientificpeer-review

1 Citation (Scopus)

Abstract

In this paper we study convex games with an infinite countable set of agents and provide characterizations of this class of games. To do so, and in order to overcome some shortcomings related to the difficulty of dealing with infinite orderings, we need to use a continuity property. Infinite sequencing situations where the number of jobs is infinite countable can be related to convex cooperative TU games. It is shown that some allocations turn out to be extreme points of the core of an infinite sequencing game.
Original languageEnglish
Pages (from-to)200-209
JournalJournal of Mathematical Analysis and Applications
Volume362
Issue number1
Publication statusPublished - 2010

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