IDEAS home Printed from https://ideas.repec.org/a/eee/gamebe/v80y2013icp179-185.html
   My bibliography  Save this article

The equivalence between costly and probabilistic voting models

Author

Listed:
  • Kamada, Yuichiro
  • Kojima, Fuhito

Abstract

In costly voting models, voters abstain when a stochastic cost of voting exceeds the benefit from voting. In probabilistic voting models, they always vote for a candidate who generates the highest utility, which is subject to random shocks. We prove an equivalence result: In two-candidate elections, given any costly voting model, there exists a probabilistic voting model that generates winning probabilities identical to those in the former model for any policy announcements, and vice versa. Thus many predictions of interest established in one of the models hold in the other as well, providing robustness of the conclusions to model specifications.

Suggested Citation

  • Kamada, Yuichiro & Kojima, Fuhito, 2013. "The equivalence between costly and probabilistic voting models," Games and Economic Behavior, Elsevier, vol. 80(C), pages 179-185.
    • Handle: RePEc:eee:gamebe:v:80:y:2013:i:c:p:179-185
    DOI: 10.1016/j.geb.2013.03.001
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S089982561300033X
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.geb.2013.03.001?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. Martin J. Osborne, 1995. "Spatial Models of Political Competition under Plurality Rule: A Survey of Some Explanations of the Number of Candidates and the Positions They Take," Canadian Journal of Economics, Canadian Economics Association, vol. 28(2), pages 261-301, May.
    2. Edward L. Glaeser & Giacomo A. M. Ponzetto & Jesse M. Shapiro, 2005. "Strategic Extremism: Why Republicans and Democrats Divide on Religious Values," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 120(4), pages 1283-1330.
    3. Wittman, Donald, 1983. "Candidate Motivation: A Synthesis of Alternative Theories," American Political Science Review, Cambridge University Press, vol. 77(1), pages 142-157, March.
    4. Judd, Kenneth L., 1985. "The law of large numbers with a continuum of IID random variables," Journal of Economic Theory, Elsevier, vol. 35(1), pages 19-25, February.
    5. Timothy J. Feddersen, 2004. "Rational Choice Theory and the Paradox of Not Voting," Journal of Economic Perspectives, American Economic Association, vol. 18(1), pages 99-112, Winter.
    6. Harald Uhlig, 1996. "A law of large numbers for large economies (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(1), pages 41-50.
    7. Alexei Zakharov, 2012. "Probabilistic voting equilibria under nonlinear candidate payoffs," Journal of Theoretical Politics, , vol. 24(2), pages 235-247, April.
    8. John Ledyard, 1984. "The pure theory of large two-candidate elections," Public Choice, Springer, vol. 44(1), pages 7-41, January.
    9. Patty, John Wiggs, 2005. "Local equilibrium equivalence in probabilistic voting models," Games and Economic Behavior, Elsevier, vol. 51(2), pages 523-536, May.
    10. Patty, John W, 2002. "Equivalence of Objectives in Two Candidate Elections," Public Choice, Springer, vol. 112(1-2), pages 151-166, July.
    11. Hinich, Melvin J., 1977. "Equilibrium in spatial voting: The median voter result is an artifact," Journal of Economic Theory, Elsevier, vol. 16(2), pages 208-219, December.
    12. Jeffrey S. Banks & John Duggan, 2005. "Probabilistic Voting in the Spatial Model of Elections: The Theory of Office-motivated Candidates," Studies in Choice and Welfare, in: David Austen-Smith & John Duggan (ed.), Social Choice and Strategic Decisions, pages 15-56, Springer.
    13. McKelvey, Richard D. & Patty, John W., 2006. "A theory of voting in large elections," Games and Economic Behavior, Elsevier, vol. 57(1), pages 155-180, October.
    14. Palfrey, Thomas R. & Rosenthal, Howard, 1985. "Voter Participation and Strategic Uncertainty," American Political Science Review, Cambridge University Press, vol. 79(1), pages 62-78, March.
    15. Anthony Downs, 1957. "An Economic Theory of Political Action in a Democracy," Journal of Political Economy, University of Chicago Press, vol. 65(2), pages 135-135.
    16. Riker, William H. & Ordeshook, Peter C., 1968. "A Theory of the Calculus of Voting," American Political Science Review, Cambridge University Press, vol. 62(1), pages 25-42, March.
    17. Riker, William H. & Ordeshook, Peter C., 1968. "A Theory of the Calculus of Voting," American Political Science Review, Cambridge University Press, vol. 62(1), pages 25-42, March.
    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. Brito, Duarte & Osório, António & Ribeiro, Ricardo & Vasconcelos, Helder, 2018. "Unilateral effects screens for partial horizontal acquisitions: The generalized HHI and GUPPI," International Journal of Industrial Organization, Elsevier, vol. 59(C), pages 127-189.
    2. Brito, Duarte & Ribeiro, Ricardo & Vasconcelos, Helder, 2018. "Quantifying the coordinated effects of partial horizontal acquisitions," European Economic Review, Elsevier, vol. 110(C), pages 108-149.
    3. Prummer, Anja, 2020. "Micro-targeting and polarization," Journal of Public Economics, Elsevier, vol. 188(C).

    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. León, Gianmarco, 2017. "Turnout, political preferences and information: Experimental evidence from Peru," Journal of Development Economics, Elsevier, vol. 127(C), pages 56-71.
    2. Alastair Smith & Bruce Bueno de Mesquita & Tom LaGatta, 2017. "Group incentives and rational voting1," Journal of Theoretical Politics, , vol. 29(2), pages 299-326, April.
    3. Antonio Merlo, 2005. "Whither Political Economy? Theories, Facts and Issues," PIER Working Paper Archive 05-033, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 01 Dec 2005.
    4. Serge Blondel & Louis Lévy-garboua, 2011. "Can non-expected utility theories explain the paradox of not voting?," Economics Bulletin, AccessEcon, vol. 31(4), pages 3158-3168.
    5. Fosco, Constanza & Laruelle, Annick & Sánchez, Angel, 2009. "Turnout Intention and Social Networks," IKERLANAK info:eu-repo/grantAgreeme, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.
    6. Konstantinou, Panagiotis Th. & Panagiotidis, Theodore & Roumanias, Costas, 2021. "State-dependent effect on voter turnout: The case of US House elections," The Quarterly Review of Economics and Finance, Elsevier, vol. 80(C), pages 753-765.
    7. Louis Kaplow & Scott Duke Kominers, 2020. "On the Representativeness of Voter Turnout," NBER Working Papers 26913, National Bureau of Economic Research, Inc.
    8. Krasa, Stefan & Polborn, Mattias K., 2012. "Political competition between differentiated candidates," Games and Economic Behavior, Elsevier, vol. 76(1), pages 249-271.
    9. Cameron Guage & Feng Fu, 2021. "Asymmetric Partisan Voter Turnout Games," Dynamic Games and Applications, Springer, vol. 11(4), pages 738-758, December.
    10. Ozgur Evren, 2009. "Altruism, Turnout and Strategic Voting Behavior," Levine's Working Paper Archive 814577000000000309, David K. Levine.
    11. Sorokin, Constantine & Zakharov, Alexei, 2018. "Vote-motivated candidates," Journal of Economic Theory, Elsevier, vol. 176(C), pages 232-254.
    12. Aimone, Jason A. & Butera, Luigi & Stratmann, Thomas, 2018. "Altruistic punishment in elections," European Journal of Political Economy, Elsevier, vol. 53(C), pages 149-160.
    13. Alexei Zakharov & Constantine Sorokin, 2014. "Policy convergence in a two-candidate probabilistic voting model," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(2), pages 429-446, August.
    14. Ambrus, Attila & Greiner, Ben & Sastro, Anne, 2017. "The case for nil votes: Voter behavior under asymmetric information in compulsory and voluntary voting systems," Journal of Public Economics, Elsevier, vol. 154(C), pages 34-48.
    15. Ming Li & Dipjyoti Majumdar, 2010. "A Psychologically Based Model of Voter Turnout," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 12(5), pages 979-1002, October.
    16. João Amaro de Matos & Pedro Barros, 2004. "Social Norms and the Paradox of Elections’ Turnout," Public Choice, Springer, vol. 121(1), pages 239-255, October.
    17. Antonio Merlo & Thomas R. Palfrey, 2018. "External validation of voter turnout models by concealed parameter recovery," Public Choice, Springer, vol. 176(1), pages 297-314, July.
    18. Evren, Özgür, 2012. "Altruism and voting: A large-turnout result that does not rely on civic duty or cooperative behavior," Journal of Economic Theory, Elsevier, vol. 147(6), pages 2124-2157.
    19. Valentina A. Bali & Lindon J. Robison & Richard Winder, 2020. "What Motivates People to Vote? The Role of Selfishness, Duty, and Social Motives When Voting," SAGE Open, , vol. 10(4), pages 21582440209, October.
    20. Gersbach, Hans & Mamageishvili, Akaki & Tejada, Oriol, 2021. "The effect of handicaps on turnout for large electorates with an application to assessment voting," Journal of Economic Theory, Elsevier, vol. 195(C).

    More about this item

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • 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:80:y:2013:i:c:p:179-185. 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.