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Cooperation under interval uncertainty

Author

Listed:
  • S. Alparslan-Gök
  • Silvia Miquel
  • Stef Tijs

Abstract

In this paper, the classical theory of two-person cooperative games is extended to two-person cooperative games with interval uncertainty. The core, balancedness, superadditivity and related topics are studied. Solutions called ψ α -values are introduced and characterizations are given. Copyright Springer-Verlag 2009

Suggested Citation

  • S. Alparslan-Gök & Silvia Miquel & Stef Tijs, 2009. "Cooperation under interval uncertainty," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 69(1), pages 99-109, March.
    • Handle: RePEc:spr:mathme:v:69:y:2009:i:1:p:99-109
    DOI: 10.1007/s00186-008-0211-3
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    References listed on IDEAS

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    1. Brânzei, R. & Dimitrov, D.A. & Pickl, S. & Tijs, S.H., 2002. "How to Cope with Division Problems under Interval Uncertainty of Claims?," Discussion Paper 2002-96, Tilburg University, Center for Economic Research.
    2. Rodica Branzei & Dinko Dimitrov & Stef Tijs, 2008. "Models in Cooperative Game Theory," Springer Books, Springer, edition 0, number 978-3-540-77954-4, February.
    3. Peter Borm & Herbert Hamers & Ruud Hendrickx, 2001. "Operations research games: A survey," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 9(2), pages 139-199, December.
    4. Dinko Dimitrov & Stef Tijs & Rodica Branzei, 2003. "Shapley-like values for interval bankruptcy games," Economics Bulletin, AccessEcon, vol. 3(9), pages 1-8.
    5. Aumann, Robert J. & Maschler, Michael, 1985. "Game theoretic analysis of a bankruptcy problem from the Talmud," Journal of Economic Theory, Elsevier, vol. 36(2), pages 195-213, August.
    6. repec:ebl:ecbull:v:3:y:2003:i:9:p:1-8 is not listed on IDEAS
    7. Luisa Carpente & Balbina Casas-Méndez & Ignacio García-Jurado & Anne van den Nouweland, 2005. "Values for strategic games in which players cooperate," International Journal of Game Theory, Springer;Game Theory Society, vol. 33(3), pages 397-419, September.
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