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An Implementation of the Core of NTU-Games

  • Gustavo Bergantiños
  • Jos A. M. Potters
Part of the Theory and Decision Library book series (TDLC, volume 18)

Abstract

For each non transferable utility game a strategic game is introduced. All Nash equilibria of the strategic game are strict equilibria and the equilibrium payoffs are the same as the payoffs in core allocations of the NTU-game. Relations between the payoff map of the strategic game and the remainder map of Driessen and Tijs (1985) are derived.

Keywords

Nash Equilibrium Payoff Function Equilibrium Payoff Strategic Game Core Allocation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. Bennett E (1983) The Aspiration Approach to Prediction of Coalition Formation and Payoff Distribution in Sidepayment Games, International Journal of Game Theory 12 1–28.CrossRefGoogle Scholar
  2. Bennett E, Wooders M (1979) Income Distribution and Firm Formation, J. Comparative Economics 3, 304–317.CrossRefGoogle Scholar
  3. Bomze IM (1985) A Note on Aspirations in Non Transferable Utility Games, International Journal of Game Theory 17, 193–200.CrossRefGoogle Scholar
  4. Borm P, Tijs SH (1992) Strategic Claim Games Corresponding to an NTU-Game, Games and Economic Behavior 4, 58–71.CrossRefGoogle Scholar
  5. Driessen TES, Tijs SH (1985) The τ-Value, the Core and Semiconvex Games, International Journal of Game Theory 14, 229–247.CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media Dordrecht 1997

Authors and Affiliations

  • Gustavo Bergantiños
    • 1
  • Jos A. M. Potters
    • 2
  1. 1.University of VigoSpain
  2. 2.Department of MathematicsUniversity of NijmegenNijmegenThe Netherlands

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