Convex games with countable number of players and sequencing situations

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

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 journal › Article › Scientific › 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
Journal	Journal of Mathematical Analysis and Applications
Volume	362
Issue number	1
Publication status	Published - 2010

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title = "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. 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.",

author = "V. Fragnelli and N. Llorca and J. S{\'a}nchez-Soriano and S.H. Tijs and R. Br{\^a}nzei",

note = "Appeared earlier as CentER Discussion Paper 2006-119 (rt)",

year = "2010",

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journal = "Journal of Mathematical Analysis and Applications",

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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

Y1 - 2010

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.

M3 - Article

VL - 362

SP - 200

EP - 209

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

SN - 0022-247X

IS - 1

ER -