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Mean versus median voting in multi-dimensional budget allocation problems. A laboratory experiment

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  • Puppe, Clemens
  • Rollmann, Jana

Abstract

We experimentally compare two natural mechanisms for the collective choice of an allocation of a fixed budget to a number of divisible public projects: the mean rule that implements the average of all individual proposals, and a suitably normalized median rule. Theoretical results predict extreme voting behavior in equilibrium under the mean rule and frequently sincere voting under the normalized median rule. Our findings confirm equilibrium behavior under the mean rule in situations in which the equilibrium strategies are easily identifiable. The empirical results for the normalized median rule are multifaceted. While we also find that many individuals play best responses, remarkably these are rarely sincere. Nevertheless, we find that the normalized median rule enjoys significantly better welfare properties than the mean rule.

Suggested Citation

  • Puppe, Clemens & Rollmann, Jana, 2021. "Mean versus median voting in multi-dimensional budget allocation problems. A laboratory experiment," Games and Economic Behavior, Elsevier, vol. 130(C), pages 309-330.
    • Handle: RePEc:eee:gamebe:v:130:y:2021:i:c:p:309-330
    DOI: 10.1016/j.geb.2021.08.008
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    References listed on IDEAS

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    1. Dutta, Bhaskar & Sen, Arunava, 2012. "Nash implementation with partially honest individuals," Games and Economic Behavior, Elsevier, vol. 74(1), pages 154-169.
    2. Ben Greiner, 2015. "Subject pool recruitment procedures: organizing experiments with ORSEE," Journal of the Economic Science Association, Springer;Economic Science Association, vol. 1(1), pages 114-125, July.
    3. repec:dau:papers:123456789/12477 is not listed on IDEAS
    4. Philippos Louis & Matías Núñez & Dimitrios Xefteris, 2019. "Trimming Extreme Opinions in Preference Aggregation," University of Cyprus Working Papers in Economics 12-2019, University of Cyprus Department of Economics.
    5. Régis Renault & Alain Trannoy, 2011. "Assessing the extent of strategic manipulation: the average vote example," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 2(4), pages 497-513, December.
    6. Cason, Timothy N. & Saijo, Tatsuyoshi & Sjostrom, Tomas & Yamato, Takehiko, 2006. "Secure implementation experiments: Do strategy-proof mechanisms really work?," Games and Economic Behavior, Elsevier, vol. 57(2), pages 206-235, November.
    7. , & , & ,, 2007. "Secure implementation," Theoretical Economics, Econometric Society, vol. 2(3), September.
    8. Nehring, Klaus & Puppe, Clemens, 2019. "Resource allocation by frugal majority rule," Working Paper Series in Economics 131, Karlsruhe Institute of Technology (KIT), Department of Economics and Management.
    9. Mueller,Dennis C., 2003. "Public Choice III," Cambridge Books, Cambridge University Press, number 9780521894753, September.
    10. Marchese, Carla & Montefiori, Marcello, 2011. "Strategy versus sincerity in mean voting," Journal of Economic Psychology, Elsevier, vol. 32(1), pages 93-102, February.
    11. Urs Fischbacher, 2007. "z-Tree: Zurich toolbox for ready-made economic experiments," Experimental Economics, Springer;Economic Science Association, vol. 10(2), pages 171-178, June.
    12. Laruelle, Annick, 2021. "Voting to select projects in participatory budgeting," European Journal of Operational Research, Elsevier, vol. 288(2), pages 598-604.
    13. Saijo, Tatsuyoshi & Yamato, Takehiko, 2007. "Secure Implementation―Theory and Experiments―," Economic Review, Hitotsubashi University, vol. 58(2), pages 122-135, April.
    14. H. Moulin, 1980. "On strategy-proofness and single peakedness," Public Choice, Springer, vol. 35(4), pages 437-455, January.
    15. Régis Renault & Alain Trannoy, 2005. "Protecting Minorities through the Average Voting Rule," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 7(2), pages 169-199, May.
    16. Freeman, Rupert & Pennock, David M. & Peters, Dominik & Wortman Vaughan, Jennifer, 2021. "Truthful aggregation of budget proposals," Journal of Economic Theory, Elsevier, vol. 193(C).
    17. 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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    Cited by:

    1. Louis, Philippos & Núñez, Matías & Xefteris, Dimitrios, 2023. "Trimming extreme reports in preference aggregation," Games and Economic Behavior, Elsevier, vol. 137(C), pages 116-151.
    2. Puppe, Clemens & Rollmann, Jana, 2022. "Participation in voting over budget allocations: A field experiment," Working Paper Series in Economics 155, Karlsruhe Institute of Technology (KIT), Department of Economics and Management.

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    More about this item

    Keywords

    Voting behavior; Budget allocation; Mean rule; Normalized median rule;
    All these keywords.

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior

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