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Core, least core and nucleolus for multiple scenario cooperative games

Core, least core and nucleolus for multiple scenario cooperative games
Core, least core and nucleolus for multiple scenario cooperative games
Multiple scenario cooperative games model situations where the worth of the coalitions is valued in different scenarios simultaneously or under different states of nature. In this paper we analyze solution concepts for this class of games keeping the multidimensional nature of the characteristic function.
We obtain extensions of the notions of core, least core and nucleolus, and explore the relationship among these solution concepts.
game theory, cooperative games, multiple scenario, lexicographical solutions
0377-2217
225-238
Hinojosa, M.A.
65751b92-c1a4-4f36-8924-ff4f25cb65c7
Mármol, A.M.
440fc600-dac1-41e9-b133-fd04758b7b44
Thomas, L.C.
a3ce3068-328b-4bce-889f-965b0b9d2362
Hinojosa, M.A.
65751b92-c1a4-4f36-8924-ff4f25cb65c7
Mármol, A.M.
440fc600-dac1-41e9-b133-fd04758b7b44
Thomas, L.C.
a3ce3068-328b-4bce-889f-965b0b9d2362

Hinojosa, M.A., Mármol, A.M. and Thomas, L.C. (2005) Core, least core and nucleolus for multiple scenario cooperative games. European Journal of Operational Research, 164 (1), 225-238. (doi:10.1016/j.ejor.2003.09.028).

Record type: Article

Abstract

Multiple scenario cooperative games model situations where the worth of the coalitions is valued in different scenarios simultaneously or under different states of nature. In this paper we analyze solution concepts for this class of games keeping the multidimensional nature of the characteristic function.
We obtain extensions of the notions of core, least core and nucleolus, and explore the relationship among these solution concepts.

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Published date: 2005
Keywords: game theory, cooperative games, multiple scenario, lexicographical solutions

Identifiers

Local EPrints ID: 35914
URI: http://eprints.soton.ac.uk/id/eprint/35914
ISSN: 0377-2217
PURE UUID: 271be38e-d136-4aac-85ba-17351f6b15a3

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Date deposited: 22 May 2006
Last modified: 15 Jul 2019 19:05

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Contributors

Author: M.A. Hinojosa
Author: A.M. Mármol
Author: L.C. Thomas

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