Individual disagreement point concavity and the bargaining problem

Walter Bossert, Hans Peters*

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review


In this study, we provide a characterization of the class of proportional bargaining solutions introduced by Kalai. Our result differs from earlier axiomatizations in that we use a property that we label individual disagreement point concavity. This property is a weakening of disagreement point concavity used by Chun and Thomson. An application illustrates the potential usefulness of our new property in a strategic setting.

Original languageEnglish
Pages (from-to)6-15
Number of pages10
JournalInternational Journal of Economic Theory
Issue number1
Early online date4 May 2021
Publication statusPublished - Mar 2022


  • Bargaining
  • proportional solutions
  • individual disagreement point concavity


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