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Comparable axiomatizations of the average tree solution and the Myerson value

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Listed:
  • Özer Selçuk

    (University of the West of England)

  • Takamasa Suzuki

    (Gifu Shotoku Gakuen University)

Abstract

Combination of a TU-game and an undirected graph representing cooperation restrictions among the players is called a TU-game with communication structure. For TU-games with communication structure, the average tree solution is defined as the average of the marginal contribution vectors corresponding to all spanning trees of the undirected graph. In this paper, we provide new characterizations for the average tree solution and the Myerson value on the class of TU-games with connected cycle-free communication structure. On this class of games, we show that the average tree solution is the unique solution satisfying linearity, efficiency, satellite symmetry, and satellite marginality. Together with linearity and efficiency, by using network symmetry and network marginality we also characterize the Myerson value and provide a comparison with the average tree solution.

Suggested Citation

  • Özer Selçuk & Takamasa Suzuki, 2023. "Comparable axiomatizations of the average tree solution and the Myerson value," International Journal of Game Theory, Springer;Game Theory Society, vol. 52(2), pages 333-362, June.
    • Handle: RePEc:spr:jogath:v:52:y:2023:i:2:d:10.1007_s00182-022-00817-0
    DOI: 10.1007/s00182-022-00817-0
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    References listed on IDEAS

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