Iterative behaviour of generalized majority functions

E. Goles, M. Tchuente

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20 Scopus citations


Let us consider a society of n persons {P1,...,Pn} with interaction coefficient aij between Pi and Pj. Let {θ1,...,θp} be the set of opinions which may be assumed by any person. We study the dynamical behaviour of such a society under local majority rules. The results presented in this paper generalize many partial results previously obtained by several authors (Tchuente, 1977; Goles and Olivos, 1980; Poljak and Sura, 1982). Furthermore, by introducing algebraic invariants, analogous to those exhibited in Goles (1980) for the study of Boolean threshold functions, we provide a tool for a general approach of such dynamical models.

Original languageEnglish
Pages (from-to)197-204
Number of pages8
JournalMathematical Social Sciences
Issue number3
StatePublished - Jul 1983
Externally publishedYes


  • Majority
  • algebraic invariant.
  • opinion dynamics


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