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Reduced two-bound core games

Author

Listed:
  • Gong, Doudou

    (RS: GSBE other - not theme-related research, Quantitative Economics)

  • Dietzenbacher, Bas

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

  • Peters, Hans

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

Abstract

This paper studies Davis-Maschler reduced games of two-bound core games and shows that all these reduced games with respect to core elements are two-bound core games with the same pair of bounds. Based on associated reduced game properties, we axiomatically characterize the core, the nucleolus, and the egalitarian core for two-bound core games. Moreover, we show that the egalitarian core for two-bound core games is single-valued and we provide an explicit expression.

Suggested Citation

  • Gong, Doudou & Dietzenbacher, Bas & Peters, Hans, 2022. "Reduced two-bound core games," Research Memorandum 001, Maastricht University, Graduate School of Business and Economics (GSBE).
    • Handle: RePEc:unm:umagsb:2022001
    DOI: 10.26481/umagsb.2022001
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    Cited by:

    1. is not listed on IDEAS
    2. Doudou Gong & Bas Dietzenbacher, 2026. "Core bound reduced games and consistency," International Journal of Game Theory, Springer;Game Theory Society, vol. 55(1), pages 1-18, June.
    3. Doudou Gong & Bas Dietzenbacher & Hans Peters, 2024. "One-bound core games," International Journal of Game Theory, Springer;Game Theory Society, vol. 53(3), pages 859-878, September.

    More about this item

    JEL classification:

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

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