Semi-marginalistic values for set games

Hao Sun*, Theo Driessen

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

1 Citation (Scopus)

Abstract

Concerning the solution theory for set games, the paper focuses on a family of values, each of which allocates to any player some type of marginalistic contribution with respect to any coalition containing the player. For any value of the relevant family, an axiomatization is given by means of three properties, namely one type of an efficiency property, the equal treatment property and one type of a monotonicity property. We present one proof technique which is based on the decomposition of any arbitrary set game into a union of simple set games, the value of which are much easier to determine. A simple set game is associated with an arbitrary, but fixed item of the universe.
Original languageEnglish
Pages (from-to)241-258
Number of pages18
JournalInternational journal of game theory
Volume34
Issue number2
DOIs
Publication statusPublished - Aug 2006

Keywords

  • Set game
  • Value
  • Axiomatization

Fingerprint Dive into the research topics of 'Semi-marginalistic values for set games'. Together they form a unique fingerprint.

Cite this