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An Experiment on The Nash Program: A Comparison of Two Strategic Mechanisms Implementing the Shapley Value

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  • Michela Chessa
  • Nobuyuki Hanaki
  • Aymeric Lardon
  • Takashi Yamada

Abstract

We experimentally compare two well-known mechanisms inducing the Shapley value as an ex ante equilibrium outcome of a noncooperative bargaining procedure: the demand-based Winter’s demand commitment bargaining mechanism and the offer-based Hart and Mas-Colell procedure. Our results suggest that the offer-based Hart and Mas-Colell mechanism better induces players to cooperate and to agree on an efficient outcome, whereas the demand-based Winter mechanism better implements allocations that reflect players' effective power, provided that the grand coalition is formed.

Suggested Citation

  • Michela Chessa & Nobuyuki Hanaki & Aymeric Lardon & Takashi Yamada, 2022. "An Experiment on The Nash Program: A Comparison of Two Strategic Mechanisms Implementing the Shapley Value," ISER Discussion Paper 1175r, Institute of Social and Economic Research, Osaka University, revised Feb 2023.
    • Handle: RePEc:dpr:wpaper:1175r
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    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C92 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Group Behavior

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