On cooperative ellipsoidal games

Weber G., Branzei R., ALPARSLAN GÖK S. Z.

24th Mini EURO Conference on Continuous Optimization and Information-Based Technologies in the Financial Sector, MEC EurOPT 2010, İzmir, Türkiye, 23 - 26 Haziran 2010, ss.369-372 identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Basıldığı Şehir: İzmir
  • Basıldığı Ülke: Türkiye
  • Sayfa Sayıları: ss.369-372
  • Anahtar Kelimeler: Cooperative games, Ellipsoids, Intervals, The core, Uncertainty
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

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.