Cores and related solution concepts for multi-choice games |
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| Authors: | A van den Nouweland S Tijs J Potters J Zarzuelo |
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| Institution: | (1) Department of Econometrics, Tilburg University, P.O. Box 90153, 5000 LE Tilburg, The Netherlands;(2) Department of Mathematics, University of Nijmegen, Toernooiveld 1, 6525 ED Nijmegen, The Netherlands;(3) Department of Applied Mathematics, University of Pais Vasco, 48015 Bilbao, Spain |
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| Abstract: | A multi-choice game is a generalization of a cooperative game in which each player has several activity levels. Cooperative games form a subclass of the class of multi-choice games.This paper extends some solution concepts for cooperative games to multi-choice games. In particular, the notions of core, dominance core and Weber set are extended. Relations between cores and dominance cores and between cores and Weber sets are extensively studied. A class of flow games is introduced and relations with non-negative games with non-empty cores are investigated. |
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