Sharing the surplus and proportional values

Zhengxing Zou*, René van den Brink, Yukihiko Funaki

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We introduce a family of proportional surplus division values for TU-games. Each value first assigns to each player a compromise between her stand-alone worth and the average stand-alone worths over all players, and then allocates the remaining worth among the players in proportion to their stand-alone worths. This family contains the proportional division value and the new egalitarian proportional surplus division value as two special cases. We provide characterizations for this family of values, as well as for each single value in this family.

Original languageEnglish
JournalTheory and Decision
Publication statusAccepted/In press - 2021


  • Axiomatization
  • Balanced contributions
  • Cooperative game
  • Proportional value
  • Surplus sharing

ASJC Scopus subject areas

  • Decision Sciences(all)
  • Developmental and Educational Psychology
  • Arts and Humanities (miscellaneous)
  • Applied Psychology
  • Social Sciences(all)
  • Economics, Econometrics and Finance(all)
  • Computer Science Applications


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