Population monotonicity and consistency in convex games: Some logical relations

Toru Hokari, Anita Van Gellekom

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

On the domain of convex games, many desirable properties of solutions are compatible and there are many single-valued solutions that are intuitively appealing. We establish some interesting logical relations among properties of single-valued solutions. In particular, we introduce a new property, weak contribution-monotonicity, and show that this property is a key property that links other properties such as population-monotonicity, max consistency, converse max consistency, and dummy-player-out.

Original languageEnglish
Pages (from-to)593-607
Number of pages15
JournalInternational Journal of Game Theory
Volume31
Issue number4
DOIs
Publication statusPublished - 2003 Oct
Externally publishedYes

Fingerprint

Convex Games
Monotonicity
Single valued
Converse
Convex games
Logic
Population monotonicity

Keywords

  • Consistency
  • Contribution monotonicity
  • Converse consistency
  • Convex games
  • Population monotonicity

ASJC Scopus subject areas

  • Mathematics (miscellaneous)
  • Statistics and Probability
  • Economics and Econometrics
  • Social Sciences (miscellaneous)

Cite this

Population monotonicity and consistency in convex games : Some logical relations. / Hokari, Toru; Van Gellekom, Anita.

In: International Journal of Game Theory, Vol. 31, No. 4, 10.2003, p. 593-607.

Research output: Contribution to journalArticle

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