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Efficient and strategy-proof social choice when preferences are single-dipped

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  • Vikram Manjunath

Abstract

We study the problem of locating a single public good along a segment when agents have single-dipped preferences. We ask whether there are unanimous and strategy-proof rules for this model. The answer is positive and we characterize all such rules. We generalize our model to allow the set of alternatives to be unbounded. If the set of alternatives does not have a maximal and a minimal element, there is no meaningful notion of efficiency. However, we show that the range of every strategy-proof rule has a maximal and a minimal element. We then characterize all strategy-proof rules. Copyright Springer-Verlag Berlin Heidelberg 2014

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  • Vikram Manjunath, 2014. "Efficient and strategy-proof social choice when preferences are single-dipped," International Journal of Game Theory, Springer;Game Theory Society, vol. 43(3), pages 579-597, August.
    • Handle: RePEc:spr:jogath:v:43:y:2014:i:3:p:579-597
    DOI: 10.1007/s00182-013-0396-4
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    1. Barberà, Salvador & Berga, Dolors & Moreno, Bernardo, 2010. "Individual versus group strategy-proofness: When do they coincide?," Journal of Economic Theory, Elsevier, vol. 145(5), pages 1648-1674, September.
    2. Salvador Barberà & Dolors Berga & Bernardo Moreno, 2012. "Group strategy-proof social choice functions with binary ranges and arbitrary domains: characterization results," International Journal of Game Theory, Springer;Game Theory Society, vol. 41(4), pages 791-808, November.
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    Cited by:

    1. William Thomson, 2016. "Non-bossiness," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 47(3), pages 665-696, October.
    2. Bossert, Walter & Peters, Hans, 2014. "Single-basined choice," Journal of Mathematical Economics, Elsevier, vol. 52(C), pages 162-168.
    3. Stefan Ambec & Yann Kervinio, 2016. "Cooperative decision-making for the provision of a locally undesirable facility," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 46(1), pages 119-155, January.
    4. Mishra, Debasis, 2016. "Ordinal Bayesian incentive compatibility in restricted domains," Journal of Economic Theory, Elsevier, vol. 163(C), pages 925-954.
    5. Bettina Klaus & Panos Protopapas, 2020. "On strategy-proofness and single-peakedness: median-voting over intervals," International Journal of Game Theory, Springer;Game Theory Society, vol. 49(4), pages 1059-1080, December.
    6. Ipek Gursel Tapki, 2016. "Population Monotonicity in Public Good Economies with Single Dipped Preferences," International Journal of Economics and Finance, Canadian Center of Science and Education, vol. 8(4), pages 80-83, April.
    7. Makoto Hagiwara & Hirofumi Yamamura, 2020. "Upper set rules with binary ranges," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 54(4), pages 657-666, April.
    8. Islam, Jamal & Mohajan, Haradhan & Moolio, Pahlaj, 2010. "Median voter model cannot solve all the problems of voting system," MPRA Paper 50696, University Library of Munich, Germany, revised 22 Feb 2011.
    9. Fumiya Inoue & Hirofumi Yamamura, 2023. "Binary mechanism for the allocation problem with single-dipped preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 60(4), pages 647-669, May.
    10. Jorge Alcalde-Unzu & Oihane Gallo & Marc Vorsatz, 2023. "Strategy-proofness with single-peaked and single-dipped preferences," Papers 2303.05781, arXiv.org, revised Mar 2024.
    11. Tamura, Yuki, 2023. "Object reallocation problems with single-dipped preferences," Games and Economic Behavior, Elsevier, vol. 140(C), pages 181-196.
    12. Gopakumar Achuthankutty & Souvik Roy, 2018. "Dictatorship on top-circular domains," Theory and Decision, Springer, vol. 85(3), pages 479-493, October.
    13. Salvador Barberà & Dolors Berga & Bernardo Moreno, 2012. "Group strategy-proof social choice functions with binary ranges and arbitrary domains: characterization results," International Journal of Game Theory, Springer;Game Theory Society, vol. 41(4), pages 791-808, November.
    14. Laurence Kranich, 2019. "Divide-and-choose with nonmonotonic preferences," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(2), pages 271-276, December.
    15. Abhinaba Lahiri & Ton Storcken, 2019. "Strategy-proof location of public bads in an interval," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 53(1), pages 49-62, June.
    16. William Thomson, 2018. "On the terminology of economic design: a critical assessment and some proposals," Review of Economic Design, Springer;Society for Economic Design, vol. 22(1), pages 67-99, June.
    17. Doudou Gong & Bas Dietzenbacher & Hans Peters, 2024. "Mechanisms and axiomatics for division problems with single-dipped preferences," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 78(3), pages 789-813, November.
    18. Alcalde-Unzu, Jorge & Vorsatz, Marc, 2018. "Strategy-proof location of public facilities," Games and Economic Behavior, Elsevier, vol. 112(C), pages 21-48.
    19. Peters, Hans & Roy, Souvik & Sadhukhan, Soumyarup & Storcken, Ton, 2017. "An extreme point characterization of strategy-proof and unanimous probabilistic rules over binary restricted domains," Journal of Mathematical Economics, Elsevier, vol. 69(C), pages 84-90.
    20. Salvador Barberà & Dolors Berga & Bernardo Moreno, 2012. "Domains, ranges and strategy-proofness: the case of single-dipped preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 39(2), pages 335-352, July.
    21. Grisel Ayllón & Diego M. Caramuta, 2016. "Single-dipped preferences with satiation: strong group strategy-proofness and unanimity," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 47(2), pages 245-264, August.
    22. Lahiri, Abhinaba & Peters, Hans & Storcken, Ton, 2017. "Strategy-proof location of public bads in a two-country model," Mathematical Social Sciences, Elsevier, vol. 90(C), pages 150-159.
    23. Dietzenbacher, Bas & Tamura, Yuki, 2023. "Fair and efficient allocations when preferences are single-dipped," Research Memorandum 009, Maastricht University, Graduate School of Business and Economics (GSBE).
    24. Yamamura, Hirofumi, 2016. "Coalitional stability in the location problem with single-dipped preferences: An application of the minimax theorem," Journal of Mathematical Economics, Elsevier, vol. 65(C), pages 48-57.
    25. Protopapas, Panos, 2018. "On strategy-proofness and single-peakedness: median-voting over intervals," MPRA Paper 83939, University Library of Munich, Germany.

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    More about this item

    Keywords

    Single-dipped preferences; Strategy-proofness; Group strategy-proofness; D71;
    All these keywords.

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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