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Incentives in social decision schemes with pairwise comparison preferences

Author

Listed:
  • Brandt, Felix
  • Lederer, Patrick
  • Suksompong, Warut

Abstract

Social decision schemes (SDSs) map the ordinal preferences of voters over multiple alternatives to a probability distribution over the alternatives. To study the axiomatic properties of SDSs, we lift preferences over alternatives to preferences over lotteries using the natural—but little understood—pairwise comparison (PC) preference extension. This extension postulates that one lottery is preferred to another if the former is more likely to return a preferred outcome. We settle three open questions raised by Brandt (2017) and show that (i) no Condorcet-consistent SDS satisfies PC-strategyproofness; (ii) no anonymous and neutral SDS satisfies both PC-efficiency and PC-strategyproofness; and (iii) no anonymous and neutral SDS satisfies both PC-efficiency and strict PC-participation. We furthermore settle an open problem raised by Aziz et al. (2015) by showing that no path of PC-improvements originating from an inefficient lottery may lead to a PC-efficient lottery.

Suggested Citation

  • Brandt, Felix & Lederer, Patrick & Suksompong, Warut, 2023. "Incentives in social decision schemes with pairwise comparison preferences," Games and Economic Behavior, Elsevier, vol. 142(C), pages 266-291.
    • Handle: RePEc:eee:gamebe:v:142:y:2023:i:c:p:266-291
    DOI: 10.1016/j.geb.2023.08.009
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    More about this item

    Keywords

    Randomized social choice; Pairwise comparison preferences; Strategyproofness; Participation;
    All these keywords.

    JEL classification:

    • D7 - Microeconomics - - Analysis of Collective Decision-Making

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