The Library
When are plurality rule voting games dominance-solvable?
Tools
Dhillon, Amrita and Lockwood, Ben (1999) When are plurality rule voting games dominance-solvable? Working Paper. Coventry: University of Warwick, Department of Economics. (Warwick economic research papers.
|
PDF
WRAP_Dhillon_549_plural.pdf - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader Download (234Kb) |
Official URL: http://www2.warwick.ac.uk/fac/soc/economics/resear...
Abstract
This paper studies the dominance-solvability (by iterated deletion of weakly dominated strategies) of plurality rule voting games. For K > 3 alternatives and n > 3 voters, we find sufficient conditions for the game to be dominance-solvable (DS) and not to be DS. These conditions can be stated in terms of only one statistic of the game, the largest proportion of voters who agree on which alternative is worst in a sequence of subsets of the original set of alternatives. When n is large, “almost all” games can be classified as either DS or not DS. If the game is DS, a Condorcet Winner always exists when n > 4, and the outcome is always the Condorcet Winner when the electorate is sufficiently replicated
| Item Type: | Working or Discussion Paper (Working Paper) |
|---|---|
| Subjects: | H Social Sciences > HB Economic Theory J Political Science > JF Political institutions (General) |
| Divisions: | Faculty of Social Sciences > Economics |
| Library of Congress Subject Headings (LCSH): | Voting research, Elections, Voting, Plural, Game theory |
| Series Name: | Warwick economic research papers |
| Publisher: | University of Warwick, Department of Economics |
| Place of Publication: | Coventry |
| Date: | December 1999 |
| Number: | No.549 |
| Number of Pages: | 40 |
| Status: | Not Peer Reviewed |
| Access rights to Published version: | Open Access |
| Description: | First version, March 1999; this version, December 1999 |
| References: | 1. T. Besley. and S.Coate , An Economic Model of Representative Democracy, Quarterly Journal of Economics, 112, (1997),.85–114. 2. T.Borgers, Iterated Deletion of Dominated Strategies in a Bertrand-Edgeworth Model, Review of Economic Studies 59, (1992), 163-76. 3. T.Borgers and M.C.W.Janssen, On the Dominance_Solvability of Large Cournot Games, Games and Economic Behaviour 8, (1992), 297-321. 4. S.J.Brams, Voting Procedures in “Handbook of Game Theory” Vol.2, ed. by Aumann, R.J. and S.Hart, Elsevier,1994. 5. A.Brandenberger and E.Dekel, The Role of Common Knowledge Assumptions in Game Theory, in “The Economics of Missing Markets, Information and Games”, ed. F.Hahn, Clarendon Press, 1989. 6. G.W.Cox, Making Votes Count, Cambridge University Press, 1997. 7. F.De Sinopoli, Strategic Stability and Non Cooperative Voting Games: The Plurality Rule, CORE DP 9843, CORE, Universite Catholique de Louvain, Belgium, 1998. 8. F.De Sinopoli and A.Turrini, A Remark on Voter Rationality in the Besley and Coate Model of Representative Democracy,CORE DP 9927, Universite Catholique de Louvain, Belgium, 1999. 9. R.Farquharson, Theory of Voting, New Haven: Yale University Press, 1969. 10. R.Forsythe, R.Myerson, T.Rietz, and R.Weber, An Experimental Study of Voting Rules and Polls in Three-Candidate Elections, International Journal of Game Theory 25, (1996), 355-383. 11. W.V.Gehrlein, The Sensitivity of Weight Selection on the Condorcet Efficiency of Weighted Scoring Rules, Social Choice and Welfare, 15, (1998), 351-58. 12. W.V.Gehrlein and D.Lepelley, The Condorcet E¢ciency of Approval Voting and the Probability of Electing the Condorcet Loser, Journal of Mathematical Economics, 29, (1998), 271-83. 13. E.Kohlberg and J.F.Mertens, On the strategic stability of equilibria, Econometrica 50, (1986), 863–894. 14. D.Lepelley, On the Probability of Electing the Condorcet Loser, Mathematical Social Sciences, 25, (1993), 105-16 15. J.Levin, and B. Nalebu¤, An Introduction to Vote Counting Schemes, Journal of Economic Perspectives 9, (1995), 3–26. 16. M.Mariotti, Maximum Games, Dominance Solvability and Coordination, forthcoming, Games and Economic Behaviour, (1999). 17. L.M. Marx and J.M.Swinkels, Order Independence for Iterated weak Dominance, Games and Economic Behaviour 18, (1997), 219–245. 18. D.P.Myatt, A New Theory of Strategic Voting, unpublished manuscript, Nu¢eld College, Oxford, 1999 19. R.B.Myerson, Comparison of Scoring Rules in Poisson Voting Games, Discussion Paper 1214, Center for Mathematical Studies in Economics and Management Science, Northwestern University, 1999. 20. R.B.Myerson, and R.J Weber, A Theory of Voting Equilibria, American Political Science Review 87, (1993), 102-114. 21. H.Moulin, The Strategy of Social Choice, North-Holland, 1983. 22. U.Rajan, Trembles in Bayesian Foundations of Solution Concepts of Games, Journal of Economic Theory, 82, (1998), 248-266. 23. A.Sen, Social Choice and Individual Values, North-Holland, 1976. 24. D.O.Stahl, Lexicographic Rationalizability and Iterated Admissibility, Economics Letters, 47, (1995). |
| URI: | http://wrap.warwick.ac.uk/id/eprint/1630 |
Actions (login required)
![]() |
View Item |
Tools
Tools

