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On strategy-proof social choice between two alternatives

Author

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  • Abhinaba Lahiri

    (Indian Institute of Science Education and Research)

  • Anup Pramanik

    (Shiv Nadar University)

Abstract

We study strategy-proof rules for choosing between two alternatives. We consider the full preference domain which allows for indifference. In this framework, for strategy-proof rules, ontoness does not imply efficiency. We weaken the requirement of efficiency to ontoness and characterize the class of strategy-proof rules. We argue that the notion of efficiency is not desirable always. Further, we provide a simple description of the class of onto, anonymous and strategy-proof rules in this framework. The key feature of our characterization results brings out the role played by indifferent agents.

Suggested Citation

  • Abhinaba Lahiri & Anup Pramanik, 2020. "On strategy-proof social choice between two alternatives," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 54(4), pages 581-607, April.
    • Handle: RePEc:spr:sochwe:v:54:y:2020:i:4:d:10.1007_s00355-019-01220-7
    DOI: 10.1007/s00355-019-01220-7
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    Cited by:

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    3. Achille Basile & Surekha Rao & K. P. S. Bhaskara Rao, 2020. "The structure of two-valued strategy-proof social choice functions with indifference," Papers 2002.06341, arXiv.org, revised Jul 2020.
    4. Anna De Simone & Ciro Tarantino, 2021. "Functional Form of Nonmanipulable Social Choice Functions with Two Alternatives," Mathematics, MDPI, vol. 9(21), pages 1-14, November.

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