Core Solutions in Vector-Valued Games |
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Authors: | Fernández F R Hinojosa M A Puerto J |
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Institution: | (1) Departamento de Estadística e Investigación Operativa, Universidad de Sevilla, Sevilla, Spain;(2) Departamento de Economía y Empresa, Universidad Pablo de Olavide, Sevilla, Spain |
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Abstract: | In this paper, we analyze core solution concepts for vector-valued cooperative games. In these games, the worth of a coalition is given by a vector rather than by a scalar. Thus, the classical concepts in cooperative game theory have to be revisited and redefined; the important principles of individual and collective rationality must be accommodated; moreover, the sense given to the domination relationship gives rise to two different theories. Although different, we show the areas which they share. This analysis permits us to propose a common solution concept that is analogous to the core for scalar cooperative games. |
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Keywords: | Game theory multicriteria games solution concepts core |
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