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Core bound reduced games and consistency

Author

Listed:
  • Gong, Doudou
  • Dietzenbacher, Bas

    (RS: GSBE other - not theme-related research, QE Math. Economics & Game Theory)

Abstract

The lower and upper exact core bounds describe the minimum and maximum individual payoffs with in the core of a balanced game, respectively. Based on these bounds, we introduce lower and upper core bound reduced games and study the relation with other reduced games. We axiomatically characterize new solutions for balanced games as unique core bound consistent extensions of the classical two-player principles unanimity, standardness, and constrained egalitarianism. We name these solutions core covers, equal gap values, and constrained equality values.

Suggested Citation

  • Gong, Doudou & Dietzenbacher, Bas, 2025. "Core bound reduced games and consistency," Research Memorandum 002, Maastricht University, Graduate School of Business and Economics (GSBE).
    • Handle: RePEc:unm:umagsb:2025002
    DOI: 10.26481/umagsb.2025002
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    References listed on IDEAS

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    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

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