Equilibrium and effectiveness of two-parameter scoring rules
We study a cardinal model of voting with three alternatives where voters’ von Neumann Morgenstern utilities are private information. We consider voting protocols given by two-parameter scoring rules, as introduced by Myerson (2002). For these voting rules, we show that all symmetric Bayes Nash equilibria are sincere, and have a very specific form. These equilibria are unique for a wide range of model parameters, and we can therefore compare the equilibrium performance of different rules. Computational results regarding the effectiveness of different scoring rules (where effectiveness is captured by a modification of the effectiveness measure proposed in Weber, 1978) suggest that those which most effectively represent voters’ preferences allow for the expression of preference intensity, in contrast to more commonly used rules such as the plurality rule, and the Borda Count. While approval voting allows for the expression of preference intensity, it does not maximize effectiveness as it fails to unambiguously convey voters’ ordinal preference rankings.
If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Lucia Buenrostro & Amrita Dhillon & Peter Vida, 2013.
"Scoring rule voting games and dominance solvability,"
Social Choice and Welfare,
Springer;The Society for Social Choice and Welfare, vol. 40(2), pages 329-352, February.
- Buenrostro, Lucia & Dhillon, Amrita, 2004. "Scoring Rule Voting Games And Dominance Solvability," The Warwick Economics Research Paper Series (TWERPS) 698, University of Warwick, Department of Economics.
- Tilman Börgers & Peter Postl, 2008.
06-11R, Department of Economics, University of Birmingham.
- Robert J. Weber, 1978. "Comparison of Public Choice Systems," Cowles Foundation Discussion Papers 498, Cowles Foundation for Research in Economics, Yale University.
- Roger B. Myerson, 1998.
"Comparison of Scoring Rules in Poisson Voting Games,"
1214, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Myerson, Roger B., 2002. "Comparison of Scoring Rules in Poisson Voting Games," Journal of Economic Theory, Elsevier, vol. 103(1), pages 219-251, March.
- Roger B. Myerson, 2000. "Comparison of Scoring Rules in Poisson Voting Games," Econometric Society World Congress 2000 Contributed Papers 0686, Econometric Society.
- André Blais, 2002. "Why Is there So Little Strategic Voting in Canadian Plurality Rule Elections?," Political Studies, Political Studies Association, vol. 50(3), pages 445-454, 08.
- Miralles, Antonio, 2012. "Cardinal Bayesian allocation mechanisms without transfers," Journal of Economic Theory, Elsevier, vol. 147(1), pages 179-206.
- Rochet, Jean-Charles, 1987. "A necessary and sufficient condition for rationalizability in a quasi-linear context," Journal of Mathematical Economics, Elsevier, vol. 16(2), pages 191-200, April.
- Holmstrom, Bengt & Myerson, Roger B, 1983.
"Efficient and Durable Decision Rules with Incomplete Information,"
Econometric Society, vol. 51(6), pages 1799-819, November.
- Bengt Holmstrom & Roger B. Myerson, 1981. "Efficient and Durable Decision Rules with Incomplete Information," Discussion Papers 495, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Ritzberger, Klaus, 2002. "Foundations of Non-Cooperative Game Theory," OUP Catalogue, Oxford University Press, number 9780199247868, December.
- Postl Peter, 2011.
The B.E. Journal of Theoretical Economics,
De Gruyter, vol. 11(1), pages 1-37, October.
- Jose Apesteguia & Miguel A. Ballester & Rosa Ferrer, 2011. "On the Justice of Decision Rules," Review of Economic Studies, Oxford University Press, vol. 78(1), pages 1-16.
- Wade D. Cook & Moshe Kress, 1985. "Ordinal Ranking with Intensity of Preference," Management Science, INFORMS, vol. 31(1), pages 26-32, January.
- Schmitz, Patrick W. & Tröger, Thomas, 2012.
"The (sub-)optimality of the majority rule,"
Games and Economic Behavior,
Elsevier, vol. 74(2), pages 651-665.
- repec:esx:essedp:732 is not listed on IDEAS
- Matthew O Jackson & Hugo F Sonnenschein, 2007. "Overcoming Incentive Constraints by Linking Decisions -super-1," Econometrica, Econometric Society, vol. 75(1), pages 241-257, 01.
When requesting a correction, please mention this item's handle: RePEc:eee:matsoc:v:68:y:2014:i:c:p:31-52. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Shamier, Wendy)
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 references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link 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 profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.