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The evolution of collective choice under majority rules

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  • Okada, Akira
  • Sawa, Ryoji

Abstract

A collective choice (or opinion) supported by a majority of individuals is challenged recurrently by a new one in a society. We consider a long-run evolution of collective choice under majority rules by stochastic evolutionary game theory. The Condorcet winner is uniquely a long-run equilibrium for all (super-)majority rules. When the Condorcet winner does not exist, the long-run equilibria under all majority rules belong to the top cycle set. In a multidimensional choice problem where the top cycle set tends to become the whole policy space, a long-run equilibrium belongs to the min–max policy set if the core is non-empty. We show that stochastic evolutionary game theory can mitigate the indeterminacy problem in social choice.

Suggested Citation

  • Okada, Akira & Sawa, Ryoji, 2024. "The evolution of collective choice under majority rules," Journal of Economic Behavior & Organization, Elsevier, vol. 225(C), pages 290-304.
    • Handle: RePEc:eee:jeborg:v:225:y:2024:i:c:p:290-304
    DOI: 10.1016/j.jebo.2024.06.039
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