Cooperative Multicriteria Games with Public and Private Criteria; An Investigation of Core Concepts
A new class of cooperative multicriteria games is introduced which takes into account two different types of criteria: private criteria, which correspond to divisible and excludable goods, and public criteria, which in an allocation take the same value for each coalition member. The different criteria are not condensed by means of a utility function, but left in their own right. Moreover, the games considered are not single-valued, but each coalition can realize a set of vectors representing the outcomes of each of the criteria depending on several alternatives. Two core concepts are defined: the core and the dominance outcome core. The relation between the two concepts is studied and the core is axiomatized by means of consistency properties.
|Date of creation:||01 Jun 2001|
|Date of revision:||01 Jun 2001|
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- Peleg, B, 1986. "On the Reduced Game Property and Its Converse," International Journal of Game Theory, Springer;Game Theory Society, vol. 15(3), pages 187-200.
- Peleg, Bezalel, 1985. "An axiomatization of the core of cooperative games without side payments," Journal of Mathematical Economics, Elsevier, vol. 14(2), pages 203-214, April.
- Norde, Henk & Potters, Jos & Reijnierse, Hans & Vermeulen, Dries, 1996.
"Equilibrium Selection and Consistency,"
Games and Economic Behavior,
Elsevier, vol. 12(2), pages 219-225, February.
- Norde, H.W. & Potters, J.A.M. & Reijnierse, J.H. & Vermeulen, D., 1996. "Equilibrium selection and consistency," Other publications TiSEM a5c0103f-677a-4352-8bd1-7, Tilburg University, School of Economics and Management.
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- Peleg, B. & Tijs, S., 1993. "The Consistency Principle for Games in Strategic Form," Papers 9306, Tilburg - Center for Economic Research.
- Peleg, B. & Tijs, S.H., 1996. "The consistency principle for games in strategic form," Other publications TiSEM fc27db2d-b84c-44ba-95a1-0, Tilburg University, School of Economics and Management.
- Peleg, B. & Tijs, S.H., 1993. "The consistency principle for games in strategic form," Discussion Paper 1993-6, Tilburg University, Center for Economic Research.
- Peleg, B, 1987. "On the Reduced Game Property and Its Converse: A Correction," International Journal of Game Theory, Springer;Game Theory Society, vol. 16(4), pages 290-290. Full references (including those not matched with items on IDEAS)
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