Convex games with an infinite number of players and sequencing situations

Vito Fragnelli; Natividad Llorca; Joaquín Sánchez-Soriano; Stef Tijs; Rodica Branzei

doi:10.1016/j.jmaa.2009.07.057

Convex games with an infinite number of players and sequencing situations

Vito Fragnelli
, Natividad Llorca
, Joaquín Sánchez-Soriano
, Stef Tijs
, Rodica Branzei

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	200-209
Number of pages	10
Journal	Journal of Mathematical Analysis and Applications
Volume	362
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2009.07.057
Publication status	Published - 1 Feb 2010
Externally published	Yes

Keywords

Convexity
Cooperative games
Countable number of players
Infinite sequencing situations

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10.1016/j.jmaa.2009.07.057

Cite this

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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.",

keywords = "Convexity, Cooperative games, Countable number of players, Infinite sequencing situations",

author = "Vito Fragnelli and Natividad Llorca and Joaqu{\'i}n S{\'a}nchez-Soriano and Stef Tijs and Rodica Branzei",

note = "Funding Information: ✩ This research has been partially supported by MIUR through grant IT1114, by Ministerio de Educaci{\'o}n y Ciencia and FEDER through project MTM2008-06778-C02-01. * Corresponding author. E-mail address: [email protected] (N. Llorca).",

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AU - Sánchez-Soriano, Joaquín

AU - Tijs, Stef

AU - Branzei, Rodica

N1 - Funding Information: ✩ This research has been partially supported by MIUR through grant IT1114, by Ministerio de Educación y Ciencia and FEDER through project MTM2008-06778-C02-01. * Corresponding author. E-mail address: [email protected] (N. Llorca).

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N2 - 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.

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.

KW - Convexity

KW - Cooperative games

KW - Countable number of players

KW - Infinite sequencing situations

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EP - 209

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

ER -

Convex games with an infinite number of players and sequencing situations

Abstract

Keywords

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