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Approximate efficiency and strategy-proofness for moneyless mechanisms on single-dipped policy domain

Author

Listed:
  • Qiaoming Han

    (Zhejiang University of Finance and Economics)

  • Donglei Du

    (University of New Brunswick
    Beijing University of Technology)

  • Dachuan Xu

    (Beijing University of Technology)

  • Yicheng Xu

    (Beijing University of Technology)

Abstract

The single-dipped domain can be used to model any allocation problem where a single output must be chosen in an interval with the assumption that agents’ preferences have a single most loathful point (the dip) in the interval, and the preferences are increasing as one moves away from that dip. Practical domains like this appear in political voting system where each voter has his most-hated candidate and alternative candidates are evaluated by their proximity to this candidate or in obnoxious location problem, where each agent prefers to have the obnoxious location to be distant from his own location, among others. We first characterize deterministic and anonymous strategy-proof and group strategy-proof mechanisms on single-dipped public policy domain, complementing the well-known results on single-peaked policy domain first investigated by Moulin (Pub. Choice 35:437–455, 1980). Then we consider the tradeoff between strategy-proofness and efficiency by applying our characterization. As concrete applications of our results, we extend existing models and results, and resolve several open questions related to the obnoxious facility location game from the algorithmic mechanism design literature.

Suggested Citation

  • Qiaoming Han & Donglei Du & Dachuan Xu & Yicheng Xu, 2018. "Approximate efficiency and strategy-proofness for moneyless mechanisms on single-dipped policy domain," Journal of Global Optimization, Springer, vol. 70(4), pages 859-873, April.
    • Handle: RePEc:spr:jglopt:v:70:y:2018:i:4:d:10.1007_s10898-017-0586-x
    DOI: 10.1007/s10898-017-0586-x
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    References listed on IDEAS

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    1. 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.
    2. Noga Alon & Michal Feldman & Ariel D. Procaccia & Moshe Tennenholtz, 2010. "Strategyproof Approximation of the Minimax on Networks," Mathematics of Operations Research, INFORMS, vol. 35(3), pages 513-526, August.
    3. 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.
    4. 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.
    5. Satterthwaite, Mark Allen, 1975. "Strategy-proofness and Arrow's conditions: Existence and correspondence theorems for voting procedures and social welfare functions," Journal of Economic Theory, Elsevier, vol. 10(2), pages 187-217, April.
    6. Manjunath, Vikram, 2012. "Group strategy-proofness and voting between two alternatives," Mathematical Social Sciences, Elsevier, vol. 63(3), pages 239-242.
    7. Klaus, Bettina & Peters, Hans & Storcken, Ton, 1997. "Strategy-proof division of a private good when preferences are single-dipped," Economics Letters, Elsevier, vol. 55(3), pages 339-346, September.
    8. Nisan,Noam & Roughgarden,Tim & Tardos,Eva & Vazirani,Vijay V. (ed.), 2007. "Algorithmic Game Theory," Cambridge Books, Cambridge University Press, number 9780521872829, November.
    9. H. Moulin, 1980. "On strategy-proofness and single peakedness," Public Choice, Springer, vol. 35(4), pages 437-455, January.
    10. Kenneth J. Arrow, 1950. "A Difficulty in the Concept of Social Welfare," Journal of Political Economy, University of Chicago Press, vol. 58(4), pages 328-328.
    11. Gibbard, Allan, 1973. "Manipulation of Voting Schemes: A General Result," Econometrica, Econometric Society, vol. 41(4), pages 587-601, July.
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    Cited by:

    1. 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).
    2. Yukun Cheng & Qiaoming Han & Wei Yu & Guochuan Zhang, 2019. "Strategy-proof mechanisms for obnoxious facility game with bounded service range," Journal of Combinatorial Optimization, Springer, vol. 37(2), pages 737-755, February.

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