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Competitive Equilibrium in Markets for Votes

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  • Alessandra Casella
  • Aniol Llorente-Saguer
  • Thomas R. Palfrey

Abstract

We develop a competitive equilibrium theory of a market for votes. Before voting on a binary issue, individuals may buy and sell their votes with each other. We define the concept of ex ante vote-trading equilibrium, and show by construction that an equilibrium exists. The equilibriumwe characterize always results in dictatorship if there is any trade, and the market for votes generates welfare losses, relative to simple majority voting, if the committee is large enough or the distribution of values not very skewed. We test the theoretical implications by implementing a competitive vote market in the laboratory using a continuous open-book multi-unit double auction.
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  • Alessandra Casella & Aniol Llorente-Saguer & Thomas R. Palfrey, 2010. "Competitive Equilibrium in Markets for Votes," Levine's Working Paper Archive 661465000000000143, David K. Levine.
    • Handle: RePEc:cla:levarc:661465000000000143
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    1. Amrita Dhillon & Silvia Rossetto, 2015. "Ownership Structure, Voting, and Risk," The Review of Financial Studies, Society for Financial Studies, vol. 28(2), pages 521-560.
    2. Myerson, Roger B., 1993. "Incentives to Cultivate Favored Minorities Under Alternative Electoral Systems," American Political Science Review, Cambridge University Press, vol. 87(4), pages 856-869, December.
    3. Riker, William H. & Brams, Steven J., 1973. "The Paradox of Vote Trading," American Political Science Review, Cambridge University Press, vol. 67(4), pages 1235-1247, December.
    4. Hortala-Vallve, Rafael & Llorente-Saguer, Aniol, 2010. "A simple mechanism for resolving conflict," Games and Economic Behavior, Elsevier, vol. 70(2), pages 375-391, November.
    5. Alessandra Casella & Thomas Palfrey & Raymond Riezman, 2013. "Minorities and Storable Votes," World Scientific Book Chapters, in: Raymond Riezman (ed.), International Trade Agreements and Political Economy, chapter 15, pages 247-282, World Scientific Publishing Co. Pte. Ltd..
    6. Dirk Engelmann & Veronika Grimm, 2012. "Mechanisms for Efficient Voting with Private Information about Preferences," Economic Journal, Royal Economic Society, vol. 122(563), pages 1010-1041, September.
    7. Vernon L. Smith, 1965. "Experimental Auction Markets and the Walrasian Hypothesis," Journal of Political Economy, University of Chicago Press, vol. 73(4), pages 387-387.
    8. Klaus Kultti & Hannu Salonen, 2005. "Market for Votes," Homo Oeconomicus, Institute of SocioEconomics, vol. 23, pages 323-332.
    9. A. Colin Cameron & Jonah B. Gelbach & Douglas L. Miller, 2008. "Bootstrap-Based Improvements for Inference with Clustered Errors," The Review of Economics and Statistics, MIT Press, vol. 90(3), pages 414-427, August.
    10. Prescott, Edward C & Townsend, Robert M, 1984. "Pareto Optima and Competitive Equilibria with Adverse Selection and Moral Hazard," Econometrica, Econometric Society, vol. 52(1), pages 21-45, January.
    11. Dekel, Eddie & Jackson, Matthew O. & Wolinsky, Asher, 2009. "Vote Buying: Legislatures and Lobbying," Quarterly Journal of Political Science, now publishers, vol. 4(2), pages 103-128, July.
    12. Schwartz, Thomas, 1977. "Collective Choice, Separation of Issues and Vote Trading," American Political Science Review, Cambridge University Press, vol. 71(3), pages 999-1010, September.
    13. Rafael Hortala-Vallve, 2012. "Qualitative voting," Journal of Theoretical Politics, , vol. 24(4), pages 526-554, October.
    14. Casella, Alessandra, 2005. "Storable votes," Games and Economic Behavior, Elsevier, vol. 51(2), pages 391-419, May.
    15. Jeffrey Weiss, 1988. "Is vote-selling desirable?," Public Choice, Springer, vol. 59(2), pages 177-194, November.
    16. Danilov, Vladimir & Koshevoy, Gleb & Murota, Kazuo, 2001. "Discrete convexity and equilibria in economies with indivisible goods and money," Mathematical Social Sciences, Elsevier, vol. 41(3), pages 251-273, May.
    17. Plott, Charles R. & Gray, Peter, 1990. "The multiple unit double auction," Journal of Economic Behavior & Organization, Elsevier, vol. 13(2), pages 245-258, March.
    18. Charles N. Noussair & Charles R. Plott & Raymond G. Riezman, 2013. "An Experimental Investigation of the Patterns of International Trade," World Scientific Book Chapters, in: Raymond Riezman (ed.), International Trade Agreements and Political Economy, chapter 17, pages 299-328, World Scientific Publishing Co. Pte. Ltd..
    19. Douglas D. Davis & Charles A. Holt, 1992. "Introduction to Experimental Economics," Introductory Chapters, in: Experimental Economics, Princeton University Press.
    20. Bevia, Carmen & Quinzii, Martine & Silva, Jose A., 1999. "Buying several indivisible goods," Mathematical Social Sciences, Elsevier, vol. 37(1), pages 1-23, January.
    21. Ledyard, John O. & Palfrey, Thomas R., 2002. "The approximation of efficient public good mechanisms by simple voting schemes," Journal of Public Economics, Elsevier, vol. 83(2), pages 153-171, February.
    22. Forsythe, Robert & Palfrey, Thomas R & Plott, Charles R, 1982. "Asset Valuation in an Experimental Market," Econometrica, Econometric Society, vol. 50(3), pages 537-567, May.
    23. Eddie Dekel & Matthew O. Jackson & Asher Wolinsky, 2004. "Vote Buying," Discussion Papers 1386, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
      • Jackson, Matthew O. & Dekel, Eddie & Wolinsky, Asher, 2005. "Vote buying," Working Papers 1215, California Institute of Technology, Division of the Humanities and Social Sciences.
      • Eddie Dekel & Matthew O. Jackson & Asher Wolinsky, 2005. "Vote Buying," Others 0503006, University Library of Munich, Germany.
    24. Stefano Demichelis & Klaus Ritzberger, 2007. "Corporate Control and the Stock Market," Carlo Alberto Notebooks 60, Collegio Carlo Alberto.
    25. d'Aspremont, Claude & Gerard-Varet, Louis-Andre, 1979. "Incentives and incomplete information," Journal of Public Economics, Elsevier, vol. 11(1), pages 25-45, February.
    26. Plott, Charles R, 1982. "Industrial Organization Theory and Experimental Economics," Journal of Economic Literature, American Economic Association, vol. 20(4), pages 1485-1527, December.
    27. Smith, Vernon L, 1982. "Microeconomic Systems as an Experimental Science," American Economic Review, American Economic Association, vol. 72(5), pages 923-955, December.
    28. George J. Mailath & Andrew Postlewaite, 1990. "Asymmetric Information Bargaining Problems with Many Agents," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 57(3), pages 351-367.
    29. Charles R. Plott & Vernon L. Smith, 1978. "An Experimental Examination of Two Exchange Institutions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 45(1), pages 133-153.
    30. Gul, Faruk & Stacchetti, Ennio, 1999. "Walrasian Equilibrium with Gross Substitutes," Journal of Economic Theory, Elsevier, vol. 87(1), pages 95-124, July.
    31. Ernesto Dal Bó, 2007. "Bribing Voters," American Journal of Political Science, John Wiley & Sons, vol. 51(4), pages 789-803, October.
    32. Goeree, Jacob K. & Holt, Charles A. & Palfrey, Thomas R., 2003. "Risk averse behavior in generalized matching pennies games," Games and Economic Behavior, Elsevier, vol. 45(1), pages 97-113, October.
    33. Cox, James C & Smith, Vernon L & Walker, James M, 1988. "Theory and Individual Behavior of First-Price Auctions," Journal of Risk and Uncertainty, Springer, vol. 1(1), pages 61-99, March.
    34. Groseclose, Tim & Snyder, James M., 1996. "Buying Supermajorities," American Political Science Review, Cambridge University Press, vol. 90(2), pages 303-315, June.
    35. Yang, Zaifu, 2000. "Equilibrium in an exchange economy with multiple indivisible commodities and money," Journal of Mathematical Economics, Elsevier, vol. 33(3), pages 353-365, April.
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    Cited by:

    1. Wagner, Alexander K. & Granic, Dura-Georg, 2017. "Tie-Breaking Power in Committees," VfS Annual Conference 2017 (Vienna): Alternative Structures for Money and Banking 168187, Verein für Socialpolitik / German Economic Association.
    2. Drexl, Moritz & Kleiner, Andreas, 2013. "Preference Intensities in Repeated Collective Decision-Making," VfS Annual Conference 2013 (Duesseldorf): Competition Policy and Regulation in a Global Economic Order 79832, Verein für Socialpolitik / German Economic Association.
    3. Casella, Alessandra & Turban, Sébastien, 2014. "Democracy undone. Systematic minority advantage in competitive vote markets," Games and Economic Behavior, Elsevier, vol. 88(C), pages 47-70.
    4. repec:esx:essedp:731 is not listed on IDEAS
    5. Anand Murugesan & Jean-Robert Tyran, 2023. "The Puzzling Practice of Paying “Cash for Votes”," CESifo Working Paper Series 10504, CESifo.
    6. Alessandra Casella & Antonin Macé, 2021. "Does Vote Trading Improve Welfare?," Annual Review of Economics, Annual Reviews, vol. 13(1), pages 57-86, August.
    7. Xefteris, Dimitrios & Ziros, Nicholas, 2018. "Strategic vote trading under complete information," Journal of Mathematical Economics, Elsevier, vol. 78(C), pages 52-58.
    8. Jon X. Eguia & Dimitrios Xefteris, 2021. "Implementation by Vote-Buying Mechanisms," American Economic Review, American Economic Association, vol. 111(9), pages 2811-2828, September.
    9. Dimitrios Xefteris & Nicholas Ziros, 2017. "Strategic Vote Trading in Power Sharing Systems," American Economic Journal: Microeconomics, American Economic Association, vol. 9(2), pages 76-94, May.
    10. Sayantan Ghosal & Lukasz Woźny, 2024. "Lindahl meets Condorcet?," Working Papers 2024_08, Business School - Economics, University of Glasgow.
    11. Chakravarty, Surajeet & Kaplan, Todd R. & Myles, Gareth, 2018. "When costly voting is beneficial," Journal of Public Economics, Elsevier, vol. 167(C), pages 33-42.
    12. Goeree, Jacob K. & Zhang, Jingjing, 2017. "One man, one bid," Games and Economic Behavior, Elsevier, vol. 101(C), pages 151-171.
    13. Iaryczower, Matias & Oliveros, Santiago, 2016. "Power brokers: Middlemen in legislative bargaining," Journal of Economic Theory, Elsevier, vol. 162(C), pages 209-236.
    14. Casella, Alessandra & Palfrey, Thomas & Turban, Sébastien, 2014. "Vote trading with and without party leaders," Journal of Public Economics, Elsevier, vol. 112(C), pages 115-128.
    15. Nikolas Tsakas & Dimitrios Xefteris & Nicholas Ziros, 2021. "Vote Trading in Power-Sharing Systems: A Laboratory Investigation," The Economic Journal, Royal Economic Society, vol. 131(636), pages 1849-1882.
    16. Laurent Bouton & Aniol Llorente-Saguer & Antonin Macé & Adam Meirowitz & Shaoting Pi & Dimitrios Xefteris, 2024. "Public Information as a Source of Disagreement," Working Papers halshs-04075483, HAL.
    17. Casella, Alessandra & Macé, Antonin, 2020. "Does Vote Trading Improve Welfare?," CEPR Discussion Papers 15201, C.E.P.R. Discussion Papers.
    18. Azar, José & Schmalz, Martin & Tecu, Isabel, 2017. "Anti-Competitive Effects of Common Ownership," IESE Research Papers D/1169, IESE Business School.
    19. Scott Duke Kominers & E. Glen Weyl, 2012. "Holdout in the Assembly of Complements: A Problem for Market Design," American Economic Review, American Economic Association, vol. 102(3), pages 360-365, May.
    20. Matthew I. Jones, 2024. "Equilibria and Group Welfare in Vote Trading Systems," Papers 2406.09536, arXiv.org.
    21. Kwiek, Maksymilian & Marreiros, Helia & Vlassopoulos, Michael, 2016. "An experimental study of voting with costly delay," Economics Letters, Elsevier, vol. 140(C), pages 23-26.
    22. Malenko, Nadya & Levit, Doron & Maug, Ernst, 2021. "The voting premium," CEPR Discussion Papers 15718, C.E.P.R. Discussion Papers.
    23. Bol, Damien & Matakos, Konstantinos & Troumpounis, Orestis & Xefteris, Dimitrios, 2019. "Electoral rules, strategic entry and polarization," Journal of Public Economics, Elsevier, vol. 178(C).

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    More about this item

    JEL classification:

    • C92 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Group Behavior
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General
    • P16 - Political Economy and Comparative Economic Systems - - Capitalist Economies - - - Capitalist Institutions; Welfare State

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