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The midpoint-constrained egalitarian bargaining solution

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  • Karos, Dominik
  • Rachmilevitch, Shiran

Abstract

A payoff allocation in a bargaining problem is midpoint dominant if each player obtains at least one nth of her ideal payoff. The egalitarian solution of a bargaining problem may select a payoff configuration which is not midpoint dominant. We propose and characterize the solution which selects for each bargaining problem the feasible allocation that is closest to the egalitarian allocation, subject to being midpoint dominant. Our main axiom, midpoint monotonicity, is new to the literature; it imposes the standard monotonicity requirement whenever doing so does not result in selecting an allocation which is not midpoint dominant. In order to prove our main result we develop a general extension theorem for bargaining solutions that are order-preserving with respect to any order on the set of bargaining problems.

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  • Karos, Dominik & Rachmilevitch, Shiran, 2019. "The midpoint-constrained egalitarian bargaining solution," Mathematical Social Sciences, Elsevier, vol. 101(C), pages 107-112.
    • Handle: RePEc:eee:matsoc:v:101:y:2019:i:c:p:107-112
    DOI: 10.1016/j.mathsocsci.2019.07.006
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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.

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