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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:

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    2. Song, Yangwei, 2018. "Efficient implementation with interdependent valuations and maxmin agents," Journal of Economic Theory, Elsevier, vol. 176(C), pages 693-726.
    3. Carbajal, Juan Carlos & Müller, Rudolf, 2015. "Implementability under monotonic transformations in differences," Journal of Economic Theory, Elsevier, vol. 160(C), pages 114-131.
    4. Yoon, Kiho, 2020. "Implementability with contingent contracts," Economics Letters, Elsevier, vol. 188(C).
    5. Emerson Melo, 2018. "A Variational Approach to Network Games," Working Papers 2018.05, Fondazione Eni Enrico Mattei.
    6. Song, Yangwei, 2018. "Efficient Implementation with Interdependent Valuations and Maxmin Agents," Rationality and Competition Discussion Paper Series 92, CRC TRR 190 Rationality and Competition.
    7. 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.
    8. Kumar, Ujjwal & Roy, Souvik, 2024. "Local incentive compatibility on gross substitutes and other non-convex type-spaces," Journal of Mathematical Economics, Elsevier, vol. 112(C).
    9. 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.
    10. 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.
    11. 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.
    12. 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.
    13. Alexey Kushnir & Vinod Krishnamoorthy, 2022. "A Simple Characterization of Supply Correspondences," Papers 2205.10472, arXiv.org.

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