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Chapter Nineteen - Nonbinary Social Choice

In: Handbook of Social Choice and Welfare


  • Deb, Rajat


Economists have used the term “nonbinary” to describe both choice functional nonbinariness (choice functions that cannot be rationalized as the maximizing outcome of a binary preference relation) and structural nonbinariness (the structure of the model dictates that pairs of alternatives do not belong to the domain of the social choice function). Here we have described necessary and sufficient conditions for oligarchy and dictatorship results in social choice models that are nonbinary in both senses.

Suggested Citation

  • Deb, Rajat, 2011. "Chapter Nineteen - Nonbinary Social Choice," Handbook of Social Choice and Welfare, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 2, chapter 19, pages 335-366, Elsevier.
  • Handle: RePEc:eee:socchp:2-19

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    Cited by:

    1. Duddy, Conal & Piggins, Ashley, 2022. "Collective choice rules with social maximality," Journal of Mathematical Economics, Elsevier, vol. 99(C).
    2. Duddy, Conal & Piggins, Ashley, 2020. "A foundation for Pareto optimality," Journal of Mathematical Economics, Elsevier, vol. 88(C), pages 25-30.
    3. Cato, Susumu, 2015. "Weak independent decisiveness and the existence of a unique vetoer," Economics Letters, Elsevier, vol. 131(C), pages 59-61.

    More about this item


    nonbinariness; dictatorship; oligarchy; rationalizability;
    All these keywords.

    JEL classification:

    • I0 - Health, Education, and Welfare - - General


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