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Pareto Efficiency And Weighted Majority Rules

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  • Yaron Azrieli
  • Semin Kim

Abstract

We consider the design of decision rules in an environment with two alternatives, independent private values and no monetary transfers. The utilitarian rule subject to incentive compatibility constraints is a weighted majority rule, where agents' weights correspond to expected gains given that their favorite alternative is chosen. It is shown that a rule is interim incentive efficient if and only if it is a weighted majority rule, and we characterize those weighted majority rules that are ex ante incentive efficient. We also discuss efficiency in the class of anonymous mechanisms and the stability of weighted majority rules.

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  • Yaron Azrieli & Semin Kim, 2014. "Pareto Efficiency And Weighted Majority Rules," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 55(4), pages 1067-1088, November.
  • Handle: RePEc:wly:iecrev:v:55:y:2014:i:4:p:1067-1088
    DOI: 10.1111/iere.12083
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    1. John Weymark, 2005. "Measurement theory and the foundations of utilitarianism," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 25(2), pages 527-555, December.
    2. Claus Beisbart & Luc Bovens, 2007. "Welfarist evaluations of decision rules for boards of representatives," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 29(4), pages 581-608, December.
    3. Salvador Barbera & Matthew O. Jackson, 2006. "On the Weights of Nations: Assigning Voting Weights in a Heterogeneous Union," Journal of Political Economy, University of Chicago Press, vol. 114(2), pages 317-339, April.
    4. Holmstrom, Bengt & Myerson, Roger B, 1983. "Efficient and Durable Decision Rules with Incomplete Information," Econometrica, Econometric Society, vol. 51(6), pages 1799-1819, November.
    5. Miralles, Antonio, 2012. "Cardinal Bayesian allocation mechanisms without transfers," Journal of Economic Theory, Elsevier, vol. 147(1), pages 179-206.
    6. Palfrey, Thomas R & Srivastava, Sanjay, 1989. "Mechanism Design with Incomplete Information: A Solution to the Implementation Problem," Journal of Political Economy, University of Chicago Press, vol. 97(3), pages 668-691, June.
    7. Salvador Barbera & Matthew O. Jackson, 2004. "Choosing How to Choose: Self-Stable Majority Rules and Constitutions," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 119(3), pages 1011-1048.
    8. Shapley, L. S. & Shubik, Martin, 1954. "A Method for Evaluating the Distribution of Power in a Committee System," American Political Science Review, Cambridge University Press, vol. 48(3), pages 787-792, September.
    9. Schmitz, Patrick W. & Tröger, Thomas, 2006. "Garbled Elections," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 195, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
    10. Dipjyoti Majumdar & Arunava Sen, 2004. "Ordinally Bayesian Incentive Compatible Voting Rules," Econometrica, Econometric Society, vol. 72(2), pages 523-540, March.
    11. Jose Apesteguia & Miguel A. Ballester & Rosa Ferrer, 2011. "On the Justice of Decision Rules," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 78(1), pages 1-16.
    12. Rae, Douglas W., 1969. "Decision-Rules and Individual Values in Constitutional Choice," American Political Science Review, Cambridge University Press, vol. 63(1), pages 40-56, March.
    13. Matthew O Jackson & Hugo F Sonnenschein, 2007. "Overcoming Incentive Constraints by Linking Decisions -super-1," Econometrica, Econometric Society, vol. 75(1), pages 241-257, January.
    14. Nehring, Klaus, 2004. "The veil of public ignorance," Journal of Economic Theory, Elsevier, vol. 119(2), pages 247-270, December.
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    Cited by:

    1. Gersbach, Hans & Tejada, Oriol, 2020. "Semi-flexible Majority Rules for Public Good Provision," CEPR Discussion Papers 15099, C.E.P.R. Discussion Papers.
    2. Jeong, Daeyoung & Kim, Semin, 2023. "Stable constitutions," Games and Economic Behavior, Elsevier, vol. 142(C), pages 794-811.
    3. Johann Caro‐Burnett, 2022. "Optimal voting rules for international organizations, with an application to the United Nations," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 24(6), pages 1463-1501, December.
    4. Nima Haghpanah & Aditya Kuvalekar & Elliot Lipnowski, 2024. "Buying from a Group," American Economic Review, American Economic Association, vol. 114(8), pages 2596-2632, August.
    5. Miho Hong & Semin Kim, 2018. "Unanimity and Local Incentive Compatibility," Working papers 2018rwp-138, Yonsei University, Yonsei Economics Research Institute.
    6. Kikuchi, Kazuya & Koriyama, Yukio, 2023. "The winner-take-all dilemma," Theoretical Economics, Econometric Society, vol. 18(3), July.

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