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Strategy-Proof Interval Selection

Author

Listed:
  • Carmelo Rodríguez à lvarez

    (ICAE Instituto Complutense de Análisis Económico, Depto. Análisis Económico y Economía Cuantitativa, Universidad Complutense de Madrid)

Abstract

We investigate interval selection problems in which a society chooses an interval from a discrete ordered set. We consider a domain of interval-monotonic preferences, where each voter has an interval of acceptable integers, benefits from enlarging the selected interval by including acceptable integers, and is worse off when unacceptable integers are included. We study how different institutional frameworks affect the design of strategy-proof interval choice functions. In particular, we distinguish between unrestricted interval selection and the expansion of a commonly accepted status quo interval. We show that the latter transforms interval selection into a separable multidimensional choice problem, whereas unrestricted interval selection remains intrinsically multidimensional. This institutional distinction leads to fundamentally different characterizations of strategy-proof interval choice functions.

Suggested Citation

  • Carmelo Rodríguez à lvarez, 2026. "Strategy-Proof Interval Selection," Documentos de Trabajo del ICAE 2026-01, Universidad Complutense de Madrid, Facultad de Ciencias Económicas y Empresariales, Instituto Complutense de Análisis Económico.
    • Handle: RePEc:ucm:doicae:2601
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    File URL: https://hdl.handle.net/20.500.14352/139447
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    References listed on IDEAS

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    Keywords

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    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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