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Truthful germs are contagious: A local-to-global characterization of truthfulness

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  • Archer, Aaron
  • Kleinberg, Robert

Abstract

We study the question of which social choice functions from an abstract type space to a set of outcomes are truthful, i.e., implementable by truthful mechanisms, when utilities are quasi-linear. For convex domains, our main theorem characterizes truthful social choice functions as those satisfying two properties: local weak monotonicity and vortex-freeness. The first of these constrains the function values at any two sufficiently proximal points, while the second asserts that its line integrals around sufficiently small triangular loops must vanish.

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  • Archer, Aaron & Kleinberg, Robert, 2014. "Truthful germs are contagious: A local-to-global characterization of truthfulness," Games and Economic Behavior, Elsevier, vol. 86(C), pages 340-366.
    • Handle: RePEc:eee:gamebe:v:86:y:2014:i:c:p:340-366
    DOI: 10.1016/j.geb.2014.01.004
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    Cited by:

    1. Song, Yangwei, 2018. "Efficient implementation with interdependent valuations and maxmin agents," Journal of Economic Theory, Elsevier, vol. 176(C), pages 693-726.
    2. André Berger & Rudolf Müller & Seyed Hossein Naeemi, 2017. "Characterizing implementable allocation rules in multi-dimensional environments," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(2), pages 367-383, February.
    3. Paul H. Edelman & John A. Weymark, 2021. "Dominant strategy implementability and zero length cycles," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 72(4), pages 1091-1120, November.
    4. Paul H. Edelman & John A Weymark, 2017. "Dominant Strategy Implementability, Zero Length Cycles, and Affine Maximizers," Vanderbilt University Department of Economics Working Papers 17-00002, Vanderbilt University Department of Economics.
    5. Carbajal, Juan Carlos & Müller, Rudolf, 2017. "Monotonicity and revenue equivalence domains by monotonic transformations in differences," Journal of Mathematical Economics, Elsevier, vol. 70(C), pages 29-35.
    6. Mishra, Debasis & Pramanik, Anup & Roy, Souvik, 2016. "Local incentive compatibility with transfers," Games and Economic Behavior, Elsevier, vol. 100(C), pages 149-165.
    7. Song, Yangwei, 2018. "Efficient Implementation with Interdependent Valuations and Maxmin Agents," Rationality and Competition Discussion Paper Series 92, CRC TRR 190 Rationality and Competition.
    8. Alexey Kushnir & Vinod Krishnamoorthy, 2022. "A Simple Characterization of Supply Correspondences," Papers 2205.10472, arXiv.org.
    9. Yoon, Kiho, 2020. "Implementability with contingent contracts," Economics Letters, Elsevier, vol. 188(C).
    10. Carbajal, Juan Carlos & Müller, Rudolf, 2015. "Implementability under monotonic transformations in differences," Journal of Economic Theory, Elsevier, vol. 160(C), pages 114-131.
    11. Emerson Melo, 2018. "A Variational Approach to Network Games," Working Papers 2018.05, Fondazione Eni Enrico Mattei.
    12. Carbajal, Juan Carlos & Mu'alem, Ahuva, 2020. "Selling mechanisms for a financially constrained buyer," Games and Economic Behavior, Elsevier, vol. 124(C), pages 386-405.

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