When Winning is the Only Thing: Pure Strategy Nash Equilibria in a Three-Candidate Spatial Voting Model
AbstractIt is well-known that there are no pure strategy Nash equilibria (PSNE) in the standard three-candidate spatial voting model when candidates maximize their share of the vote. When all that matters to the candidates is winning the election, however, we show that PSNE do exist. We provide a complete characterization of such equilibria and then extend our results to elections with an arbitrary number of candidates. Finally, when two candidates face the potential entrant of a third, we show that PSNE no longer exist, however, they do exist when the number of existing candidates is at least three.
Download InfoIf 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.
Bibliographic InfoPaper provided by Ryerson University, Department of Economics in its series Working Papers with number 021.
Length: 19 pages
Date of creation: Aug 2010
Date of revision:
Voting; spatial equilibrium; location models; entry.;
Other versions of this item:
- Richard Chisik & Robert Lemke, 2006. "When winning is the only thing: pure strategy Nash equilibria in a three-candidate spatial voting model," Social Choice and Welfare, Springer, vol. 26(1), pages 209-215, January.
- C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
- D0 - Microeconomics - - General
- H8 - Public Economics - - Miscellaneous Issues
- R1 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics
This paper has been announced in the following NEP Reports:
- NEP-ALL-2010-09-03 (All new papers)
- NEP-CDM-2010-09-03 (Collective Decision-Making)
- NEP-GTH-2010-09-03 (Game Theory)
- NEP-POL-2010-09-03 (Positive Political Economics)
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.:
- Palfrey, Thomas R, 1984. "Spatial Equilibrium with Entry," Review of Economic Studies, Wiley Blackwell, Wiley Blackwell, vol. 51(1), pages 139-56, January.
- Roger B. Myerson & Robert J. Weber, 1988. "A Theory of Voting Equilibria," Discussion Papers, Northwestern University, Center for Mathematical Studies in Economics and Management Science 782, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Maurice Roche).
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.