TY - JOUR
T1 - Convex games with an infinite number of players and sequencing situations
AU - Fragnelli, Vito
AU - Llorca, Natividad
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).
PY - 2010/2/1
Y1 - 2010/2/1
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
UR - http://www.scopus.com/inward/record.url?scp=70350324270&partnerID=8YFLogxK
U2 - 10.1016/j.jmaa.2009.07.057
DO - 10.1016/j.jmaa.2009.07.057
M3 - Article
SN - 0022-247X
VL - 362
SP - 200
EP - 209
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
IS - 1
ER -