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Semi-Flexible Majority Rules for Public Good Provision

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  • Hans Gersbach

    (ETH Zurich, Switzerland)

  • Oriol Tejada

    (ETH Zurich, Switzerland)

Abstract

We introduce a two-stage, multiple-round voting procedure where the thresholds needed for approval require a qualified majority and vary with the proposal on the table. We apply such a procedure to instances of public-good provision where the citizens’ valuations can take two values and are private. We show that the procedure elicits and aggregates the information about the valuations and implements the utilitarian optimal public good level. This level is chosen after all potential socially optimal policies have been considered. We also develop a compound procedure to ensure utilitarian optimality when there are arbitrarily finitely many types of citizen.

Suggested Citation

  • Hans Gersbach & Oriol Tejada, 2017. "Semi-Flexible Majority Rules for Public Good Provision," CER-ETH Economics working paper series 17/272, CER-ETH - Center of Economic Research (CER-ETH) at ETH Zurich.
  • Handle: RePEc:eth:wpswif:17-272
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    References listed on IDEAS

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    1. Fleurbaey,Marc & Maniquet,François, 2011. "A Theory of Fairness and Social Welfare," Cambridge Books, Cambridge University Press, number 9780521715348, May.
    2. Herve Moulin, 2004. "Fair Division and Collective Welfare," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262633116, December.
    3. Sprumont, Yves, 1991. "The Division Problem with Single-Peaked Preferences: A Characterization of the Uniform Allocation Rule," Econometrica, Econometric Society, vol. 59(2), pages 509-519, March.
    4. Kwiek, Maksymilian, 2014. "Efficient voting with penalties," Discussion Paper Series In Economics And Econometrics 1419, Economics Division, School of Social Sciences, University of Southampton.
    5. Green, Jerry & Laffont, Jean-Jacques, 1977. "Characterization of Satisfactory Mechanisms for the Revelation of Preferences for Public Goods," Econometrica, Econometric Society, vol. 45(2), pages 427-438, March.
    6. Fahrenberger, Theresa & Gersbach, Hans, 2010. "Minority voting and long-term decisions," Games and Economic Behavior, Elsevier, vol. 69(2), pages 329-345, July.
    7. 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, pages 1067-1088, November.
    8. Miroiu, Adrian, 2004. "Characterizing majority rule: from profiles to societies," Economics Letters, Elsevier, vol. 85(3), pages 359-363, December.
    9. Hans Gersbach, 2009. "Democratic Mechanisms," Journal of the European Economic Association, MIT Press, vol. 7(6), pages 1436-1469, December.
    10. John O. Ledyard & Thomas R. Palfrey, 1994. "Voting and Lottery Drafts as Efficient Public Goods Mechanisms," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 61(2), pages 327-355.
    11. 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.
    12. Kwiek, Maksymilian, 2017. "Efficient voting with penalties," Games and Economic Behavior, Elsevier, vol. 104(C), pages 468-485.
    13. Alex Gershkov & Benny Moldovanu & Xianwen Shi, 2017. "Optimal Voting Rules," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 84(2), pages 688-717.
    14. Bierbrauer, Felix & Sahm, Marco, 2010. "Optimal democratic mechanisms for taxation and public good provision," Journal of Public Economics, Elsevier, vol. 94(7-8), pages 453-466, August.
    15. Daniel Kahneman & Amos Tversky, 2013. "Prospect Theory: An Analysis of Decision Under Risk," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 6, pages 99-127, World Scientific Publishing Co. Pte. Ltd..
    16. Howard R. Bowen, 1943. "The Interpretation of Voting in the Allocation of Economic Resources," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 58(1), pages 27-48.
    17. John, Reinhard & Raith, Matthias G., 2001. "Optimizing multi-stage negotiations," Journal of Economic Behavior & Organization, Elsevier, vol. 45(2), pages 155-173, June.
    18. 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.
    19. Palfrey, Thomas R. & Rosenthal, Howard, 1991. "Testing for effects of cheap talk in a public goods game with private information," Games and Economic Behavior, Elsevier, vol. 3(2), pages 183-220, May.
    20. Green, Jerry & Laffont, Jean-Jacques, 1977. "On the revelation of preferences for public goods," Journal of Public Economics, Elsevier, vol. 8(1), pages 79-93, August.
    21. Felix J. Bierbrauer & Martin F. Hellwig, 2016. "Robustly Coalition-Proof Incentive Mechanisms for Public Good Provision are Voting Mechanisms and Vice Versa," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 83(4), pages 1440-1464.
    22. Philip Grech & Oriol Tejada, 2018. "Divide the dollar and conquer more: sequential bargaining and risk aversion," International Journal of Game Theory, Springer;Game Theory Society, vol. 47(4), pages 1261-1286, November.
    23. Diskin, A. & Koppel, M. & Samet, D., 2011. "Generalized Raiffa solutions," Games and Economic Behavior, Elsevier, vol. 73(2), pages 452-458.
    24. Fershtman, Chaim, 1990. "The importance of the agenda in bargaining," Games and Economic Behavior, Elsevier, vol. 2(3), pages 224-238, September.
    25. Hervé Moulin, 2019. "Fair Division in the Internet Age," Annual Review of Economics, Annual Reviews, vol. 11(1), pages 407-441, August.
    26. H. Moulin, 1980. "On strategy-proofness and single peakedness," Public Choice, Springer, vol. 35(4), pages 437-455, January.
    27. John O. Ledyard & Thomas R. Palfrey, 1999. "A Characterization of Interim Efficiency with Public Goods," Econometrica, Econometric Society, vol. 67(2), pages 435-448, March.
    28. Gersbach, Hans, 2017. "Flexible Majority Rules in democracyville: A guided tour," Mathematical Social Sciences, Elsevier, vol. 85(C), pages 37-43.
    29. 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.
    30. J. Woeginger, Gerhard, 2003. "A new characterization of the majority rule," Economics Letters, Elsevier, vol. 81(1), pages 89-94, October.
    31. Barbera Salvador & Gul Faruk & Stacchetti Ennio, 1993. "Generalized Median Voter Schemes and Committees," Journal of Economic Theory, Elsevier, vol. 61(2), pages 262-289, December.
    32. Sims, Christopher A., 2003. "Implications of rational inattention," Journal of Monetary Economics, Elsevier, vol. 50(3), pages 665-690, April.
    33. Hans Gersbach & Stephan Imhof & Oriol Tejada, 2021. "Channeling the final say in politics: a simple mechanism," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(1), pages 151-183, February.
    34. McKelvey, Richard D., 1976. "Intransitivities in multidimensional voting models and some implications for agenda control," Journal of Economic Theory, Elsevier, vol. 12(3), pages 472-482, June.
    35. Gibbard, Allan, 1973. "Manipulation of Voting Schemes: A General Result," Econometrica, Econometric Society, vol. 41(4), pages 587-601, July.
    36. Asan, Goksel & Sanver, M. Remzi, 2002. "Another characterization of the majority rule," Economics Letters, Elsevier, vol. 75(3), pages 409-413, May.
    37. Rosar, Frank, 2015. "Continuous decisions by a committee: Median versus average mechanisms," Journal of Economic Theory, Elsevier, vol. 159(PA), pages 15-65.
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    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General

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