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On the unique core partition of coalition formation games: correction to İnal (2015)

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  • Satoshi Nakada

    (Tokyo University of Science)

  • Ryo Shirakawa

    (The University of Tokyo)

Abstract

In this note, we consider sufficient conditions for the uniqueness of the core partitions of coalition formation games. İnal (Soc Choice Welf 45:745–763, 2015) introduces a sufficient condition called k-acyclicity and claims that this condition is independent of another sufficient condition called top-coalition property. We show that this claim is incorrect and, in particular, k-acyclicity is equivalent to the common ranking property introduced by Banerjee et al. (Soc Choice Welf 18:135–153, 2001), which is a stronger condition than the top-coalition property.

Suggested Citation

  • Satoshi Nakada & Ryo Shirakawa, 2023. "On the unique core partition of coalition formation games: correction to İnal (2015)," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 60(3), pages 517-521, April.
  • Handle: RePEc:spr:sochwe:v:60:y:2023:i:3:d:10.1007_s00355-022-01423-5
    DOI: 10.1007/s00355-022-01423-5
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    References listed on IDEAS

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