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Existence of majority equilibria with non-ordered preferences

Author

Listed:
  • Hervé Crès

    (Division of Social Science, New York University in Abu Dhabi, 129188, Abu Dhabi, UAE)

  • Mich Tvede

    (School of Economics, University of Sheffield, Sheffield S10 2TU, UK)

Abstract

Majority voting is widely observed to produce stable policy outcomes, despite theoretical predictions of instability in multidimensional policy spaces. The present paper shows that stability can arise because voters have non-ordered preferences. We model preferences as correspondences within d-dimensional policy spaces and introduce a geometric measure of orderedness based on the angular spread α of strictly preferred alternatives. Our main result is that majority equilibria exist provided α

Suggested Citation

  • Hervé Crès & Mich Tvede, 2025. "Existence of majority equilibria with non-ordered preferences," Working Papers 2025010, The University of Sheffield, Department of Economics.
    • Handle: RePEc:shf:wpaper:2025010
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    File URL: https://www.sheffield.ac.uk/economics/research/serps
    File Function: First version, October 2025
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    JEL classification:

    • C65 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Miscellaneous Mathematical Tools
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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