Assignment games, chromatic number, and exchange theory

Phillip Bonacich, Elisa Jayne Bienenstock

Research output: Contribution to journalArticlepeer-review

13 Scopus citations


The exchange networks that social psychologists have studied can usefully be represented as game theoretic 2-sided assignment games. Conceiving of these networks as 2-sided assignment games opens up the possibility of studying N-sided assignment games and games without cores. 2-sided assignment games are special in that they always have cores, stable solutions in which every individual and subgroup behave rationally. The implicit assignment of positions to categories of an N-sided assignment game is related to coloring a graph. The color classes form sets of positions with potentially related interests. Color equivalence is compared to structural, regular, automorphic, and ecological positional equivalence.

Original languageEnglish (US)
Pages (from-to)243-259
Number of pages17
JournalThe Journal of Mathematical Sociology
Issue number4
StatePublished - Apr 1 1993
Externally publishedYes

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Social Sciences (miscellaneous)
  • Sociology and Political Science


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