On dominance core and stable sets for cooperative ellipsoidal games

Date

2013-10-01

Author

ALPARSLAN GÖK, Sırma Zeynep
Weber, Gerhard Wilhelm

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The allocation problem of rewards or costs is a central question for individuals and organizations contemplating cooperation under uncertainty. The involvement of uncertainty in cooperative games is motivated by the real world where noise in observation and experimental design, incomplete information and further vagueness in preference structures and decision-making play an important role. The theory of cooperative ellipsoidal games provides a new game theoretical angle and suitable tools for answering this question. In this paper, some solution concepts using ellipsoids, namely the ellipsoidal imputation set, the ellipsoidal dominance core and the ellipsoidal stable sets for cooperative ellipsoidal games, are introduced and studied. The main results contained in the paper are the relations between the ellipsoidal core, the ellipsoidal dominance core and the ellipsoidal stable sets of such a game.

Subject Keywords

Management Science and Operations Research, Control and Optimization, Applied Mathematics

URI

https://hdl.handle.net/11511/56831

Journal

OPTIMIZATION

DOI

https://doi.org/10.1080/02331934.2013.793327

Collections

Graduate School of Applied Mathematics, Article

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Citation Formats

S. Z. ALPARSLAN GÖK and G. W. Weber, “On dominance core and stable sets for cooperative ellipsoidal games,” OPTIMIZATION, pp. 1297–1308, 2013, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/56831.