IDEAS home Printed from https://ideas.repec.org/a/eee/gamebe/v130y2021icp309-330.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0899825621001159
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.geb.2021.08.008?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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.
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Hirofumi Yamamura & Ryo Kawasaki, 2013. "Generalized average rules as stable Nash mechanisms to implement generalized median rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(3), pages 815-832, March.
    2. Louis, Philippos & Núñez, Matías & Xefteris, Dimitrios, 2023. "Trimming extreme reports in preference aggregation," Games and Economic Behavior, Elsevier, vol. 137(C), pages 116-151.
    3. Núñez, Matías & Pimienta, Carlos & Xefteris, Dimitrios, 2022. "On the implementation of the median," Journal of Mathematical Economics, Elsevier, vol. 99(C).
    4. Chen, Yan & Kesten, Onur, 2019. "Chinese college admissions and school choice reforms: An experimental study," Games and Economic Behavior, Elsevier, vol. 115(C), pages 83-100.
    5. Takehito Masuda & Ryo Mikami & Toyotaka Sakai & Shigehiro Serizawa & Takuma Wakayama, 2022. "The net effect of advice on strategy-proof mechanisms: an experiment for the Vickrey auction," Experimental Economics, Springer;Economic Science Association, vol. 25(3), pages 902-941, June.
    6. 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.
    7. Saporiti, Alejandro, 2014. "Securely implementable social choice rules with partially honest agents," Journal of Economic Theory, Elsevier, vol. 154(C), pages 216-228.
    8. Min Zhu, 2015. "Experience Transmission : Truth-telling Adoption in Matching," Working Papers 1518, Groupe d'Analyse et de Théorie Economique Lyon St-Étienne (GATE Lyon St-Étienne), Université de Lyon.
    9. Tatsuki Homma & Ryosuke Iba & Junyi Shen & Takuma Wakayama & Hirofumi Yamamura & Takehiko Yamato, 2022. "The pivotal mechanism versus the voluntary contribution mechanism: an experimental comparison," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 58(3), pages 429-505, April.
    10. Matias Nunez & Dimitrios Xefteris, 2016. "Unanimous Implementation: A Case For Approval Mechanisms," Working Papers hal-01270275, HAL.
    11. Philippos Louis & Matías Núñez & Dimitrios Xefteris, 2022. "The Virtuous Cycle of Agreement," The Economic Journal, Royal Economic Society, vol. 132(641), pages 326-360.
    12. Rodrigo A. Velez & Alexander L. Brown, 2019. "Empirical strategy-proofness," Papers 1907.12408, arXiv.org, revised Jul 2020.
    13. Min Zhu, 2015. "Experience Transmission: Truth-telling Adoption in Matching," Working Papers halshs-01176926, HAL.
    14. Diss, Mostapha & Doghmi, Ahmed & Tlidi, Abdelmonaim, 2016. "Strategy proofness and unanimity in many-to-one matching markets," MPRA Paper 75927, University Library of Munich, Germany, revised 08 Dec 2016.
    15. Haris Aziz & Alexander Lam & Barton E. Lee & Toby Walsh, 2021. "Strategyproof and Proportionally Fair Facility Location," Papers 2111.01566, arXiv.org, revised Nov 2023.
    16. Núñez, Matías & Xefteris, Dimitrios, 2017. "Implementation via approval mechanisms," Journal of Economic Theory, Elsevier, vol. 170(C), pages 169-181.
    17. Sauermann, Jan & Beckmann, Paul, 2019. "The influence of group size on distributional fairness under voting by veto," European Journal of Political Economy, Elsevier, vol. 56(C), pages 90-102.
    18. Yamamura, Hirofumi, 2016. "Coalitional stability in the location problem with single-dipped preferences: An application of the minimax theorem," Journal of Mathematical Economics, Elsevier, vol. 65(C), pages 48-57.
    19. Guo, Huiyi & Yannelis, Nicholas C., 2022. "Robust coalitional implementation," Games and Economic Behavior, Elsevier, vol. 132(C), pages 553-575.
    20. Laurent Denant-Boemont & Matthieu Leprince & Matthieu Pourieux, 2019. "Distributive Preferences of Public Representatives: A Field-in-the-Lab Experiment," Economics Working Paper from Condorcet Center for political Economy at CREM-CNRS 2019-05-ccr, Condorcet Center for political Economy.

    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

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:gamebe:v:130:y:2021:i:c:p:309-330. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/622836 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.