Cones of multi-choice games arising from two-corner market situations

• Autores: Rodica Branzei, Natividad Llorca Pascual , Joaquín Sánchez Soriano , Stef Tijs
• Localización: XXXI Congreso Nacional de Estadística e Investigación Operativa ; V Jornadas de Estadística Pública: Murcia, 10-13 de febrero de 2009 : Libro de Actas, 2009, ISBN 978-84-691-8159-1
• Idioma: inglés
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• Resumen

  • In this paper we consider market situations with two corners. One corner consists of a group of powerful agents with yes-or-no choices and clan behavior. The other corner consists of non-powerful agents with multi-choices regarding the extent at which cooperation with the clan can be achieved. Two cones of multi-choice cooperative games arise from such market situations: multi-choice clan games which model the interaction between the two corners and convex multi-choice games that model the interaction within the corner of non-clan agents. We focus on multi-choice clan games and relate core elements for multi-choice clan games with core elements of convex multi-choice games arising from the same two-corner market situation.