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Transferable Utility Games with Uncertainty

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  • Helga Habis

    ()
    (Institute of Economics - Hungarian Academy of Sciences)

  • P. Jean-Jacques Herings

    ()
    (Department of Economics, Universiteit Maastricht)

Abstract

We introduce the concept of a TUU-game, a transferable utility game with uncertainty. In a TUU-game there is uncertainty regarding the payoffs of coalitions. One out of a finite number of states of nature materializes and conditional on the state, the players are involved in a particular transferable utility game. We consider the case without ex ante commitment possibilities and propose the Weak Sequential Core as a solution concept. We characterize the Weak Sequential Core and show that it is non-empty if all ex post TUgames are convex.

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Bibliographic Info

Paper provided by Institute of Economics, Centre for Economic and Regional Studies, Hungarian Academy of Sciences in its series IEHAS Discussion Papers with number 1120.

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Length: 25 pages
Date of creation: May 2011
Date of revision:
Handle: RePEc:has:discpr:1120

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Keywords: transferable utility games; uncertainty; Weak Sequential Core;

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References

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  1. Kranich,Laurence & Peree,Andrea & Peters,Hans, 2001. "Core Concepts for Dynamic TU Games," Research Memorandum 013, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  2. Sujis, J. & Borm, P. & De Waegenaere, A. & Tijs, S., 1995. "Cooperative Games with Stochastic Payoffs," Papers 9588, Tilburg - Center for Economic Research.
  3. Bernheim, B. Douglas & Peleg, Bezalel & Whinston, Michael D., 1987. "Coalition-Proof Nash Equilibria I. Concepts," Journal of Economic Theory, Elsevier, vol. 42(1), pages 1-12, June.
  4. Ray, Debraj, 1989. "Credible Coalitions and the Core," International Journal of Game Theory, Springer, vol. 18(2), pages 185-87.
  5. Vohra, Rajiv, 1999. "Incomplete Information, Incentive Compatibility, and the Core," Journal of Economic Theory, Elsevier, vol. 86(1), pages 123-147, May.
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Cited by:
  1. Helga Habis & P. Jean-Jacques Herings, 2012. "Stochastic Bankruptcy Games," IEHAS Discussion Papers 1205, Institute of Economics, Centre for Economic and Regional Studies, Hungarian Academy of Sciences.
  2. William Thomson, 2013. "Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: an update," RCER Working Papers 578, University of Rochester - Center for Economic Research (RCER).
  3. David Csercsik, 2013. "Competition and cooperation in a PFF game theoretic model of electrical energy trade," IEHAS Discussion Papers 1310, Institute of Economics, Centre for Economic and Regional Studies, Hungarian Academy of Sciences.

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