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

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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Convex Games
Sequencing
Countable
Game
TU Game
Cooperative Game
Extreme Points

Cite this

Fragnelli, V., Llorca, N., Sánchez-Soriano, J., Tijs, S. H., & Brânzei, R. (2010). Convex games with countable number of players and sequencing situations. Journal of Mathematical Analysis and Applications, 362(1), 200-209.
Fragnelli, V. ; Llorca, N. ; Sánchez-Soriano, J. ; Tijs, S.H. ; Brânzei, R. / Convex games with countable number of players and sequencing situations. In: Journal of Mathematical Analysis and Applications. 2010 ; Vol. 362, No. 1. pp. 200-209.
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Fragnelli, V, Llorca, N, Sánchez-Soriano, J, Tijs, SH & Brânzei, R 2010, 'Convex games with countable number of players and sequencing situations', Journal of Mathematical Analysis and Applications, vol. 362, no. 1, pp. 200-209.

Convex games with countable number of players and sequencing situations. / Fragnelli, V.; Llorca, N.; Sánchez-Soriano, J.; Tijs, S.H.; Brânzei, R.

In: Journal of Mathematical Analysis and Applications, Vol. 362, No. 1, 2010, p. 200-209.

Research output: Contribution to journalArticleScientificpeer-review

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T1 - Convex games with countable number of players and sequencing situations

AU - Fragnelli, V.

AU - Llorca, N.

AU - Sánchez-Soriano, J.

AU - Tijs, S.H.

AU - Brânzei, R.

N1 - Appeared earlier as CentER Discussion Paper 2006-119 (rt)

PY - 2010

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AB - 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.

M3 - Article

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EP - 209

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

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Fragnelli V, Llorca N, Sánchez-Soriano J, Tijs SH, Brânzei R. Convex games with countable number of players and sequencing situations. Journal of Mathematical Analysis and Applications. 2010;362(1):200-209.