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Truncated Leximin solutions

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  • Driesen, Bram

Abstract

This paper shows that three classic properties for bargaining solutions in an environment with a variable number of agents–Anonymity (AN), Individual Monotonicity (IM), and Consistency (CONS)–characterize a one-parameter family of Truncated Leximin solutions. Given a non-negative and possibly infinite α, an α-Truncated Leximin solution gives each agent the minimum of α and their Leximin solution payoff.

Suggested Citation

  • Driesen, Bram, 2016. "Truncated Leximin solutions," Mathematical Social Sciences, Elsevier, vol. 83(C), pages 79-87.
  • Handle: RePEc:eee:matsoc:v:83:y:2016:i:c:p:79-87
    DOI: 10.1016/j.mathsocsci.2016.07.003
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    References listed on IDEAS

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    Cited by:

    1. William Thomson, 2022. "On the axiomatic theory of bargaining: a survey of recent results," Review of Economic Design, Springer;Society for Economic Design, vol. 26(4), pages 491-542, December.
    2. Dominik Karos & Nozomu Muto & Shiran Rachmilevitch, 2018. "A generalization of the Egalitarian and the Kalai–Smorodinsky bargaining solutions," International Journal of Game Theory, Springer;Game Theory Society, vol. 47(4), pages 1169-1182, November.
    3. Jaume García-Segarra & Miguel Ginés-Vilar, 2019. "Stagnation proofness in n-agent bargaining problems," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 14(1), pages 215-224, March.

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