On cooperative ellipsoidal games

Date

2010-01-01

Author

Weber, Gerhard Wilhelm
Branzei, R.
ALPARSLAN GÖK, Sırma Zeynep

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This paper deals with cooperative ellipsoidal games, a class of transferable utility games where the worth of each coalition is an ellipsoid. Ellipsoids are a suitable data structure whenever data are affected by uncertainty and there are some correlations between the items under consideration. The research question addressed here is: How to deal with sharing problems under ellipsoidal uncertainty? This question is an important one in the cooperative game theory literature and its applications. We extend the ellipsoid calculus to introduce a core-like solution concept for cooperative ellipsoidal games. © Izmir University of Economics, Turkey, 2010.

Subject Keywords

Cooperative games, Ellipsoids, Intervals, The core, Uncertainty

URI

https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84905448512&origin=inward
https://hdl.handle.net/11511/107508

Conference Name

24th Mini EURO Conference on Continuous Optimization and Information-Based Technologies in the Financial Sector, MEC EurOPT 2010

Collections

Graduate School of Applied Mathematics, Conference / Seminar

Citation Formats

G. W. Weber, R. Branzei, and S. Z. ALPARSLAN GÖK, “On cooperative ellipsoidal games,” presented at the 24th Mini EURO Conference on Continuous Optimization and Information-Based Technologies in the Financial Sector, MEC EurOPT 2010, İzmir, Türkiye, 2010, Accessed: 00, 2023. [Online]. Available: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84905448512&origin=inward.