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Efficiency in Collective Decision-Making via Quadratic Transfers

Author

Listed:
  • Jon X. Eguia

    (Michigan State U.)

  • Nicole Immorlica

    (Microsoft)

  • Steven P. Lalley

    (U. Chicago)

  • Katrina Ligett

    (Hebrew U.)

  • Glen Weyl

    (Microsoft)

  • Dimitrios Xefteris

    (U. Cyprus)

Abstract

Consider the following collective choice problem: a group of budget constrained agents must choose one of several alternatives. Is there a budget balanced mechanism that: i) does not depend on the specific characteristics of the group, ii) does not require unaffordable transfers, and iii) implements utilitarianism if the agents' preferences are quasilinear and their private information? We study the following procedure: every agent can express any intensity of support or opposition to each alternative, by transferring to the rest of the agents wealth equal to the square of the intensity expressed; and the outcome is determined by the sums of the expressed intensities. We prove that as the group grows large, in every equilibrium of this quadratic-transfers mechanism, each agent's transfer converges to zero, and the probability that the efficient outcome is chosen converges to one.

Suggested Citation

  • Jon X. Eguia & Nicole Immorlica & Steven P. Lalley & Katrina Ligett & Glen Weyl & Dimitrios Xefteris, 2023. "Efficiency in Collective Decision-Making via Quadratic Transfers," Papers 2301.06206, arXiv.org.
    • Handle: RePEc:arx:papers:2301.06206
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    References listed on IDEAS

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    1. William Vickrey, 1961. "Counterspeculation, Auctions, And Competitive Sealed Tenders," Journal of Finance, American Finance Association, vol. 16(1), pages 8-37, March.
    2. John C. Harsanyi, 1967. "Games with Incomplete Information Played by "Bayesian" Players, I-III Part I. The Basic Model," Management Science, INFORMS, vol. 14(3), pages 159-182, November.
    3. John C. Harsanyi, 1968. "Games with Incomplete Information Played by "Bayesian" Players Part II. Bayesian Equilibrium Points," Management Science, INFORMS, vol. 14(5), pages 320-334, January.
    4. Philip J. Reny, 1999. "On the Existence of Pure and Mixed Strategy Nash Equilibria in Discontinuous Games," Econometrica, Econometric Society, vol. 67(5), pages 1029-1056, September.
    5. Laurent Bouton, 2013. "A Theory of Strategic Voting in Runoff Elections," American Economic Review, American Economic Association, vol. 103(4), pages 1248-1288, June.
    6. Steven P. Lalley & E. Glen Weyl, 2018. "Quadratic Voting: How Mechanism Design Can Radicalize Democracy," AEA Papers and Proceedings, American Economic Association, vol. 108, pages 33-37, May.
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