Hostname: page-component-586b7cd67f-g8jcs Total loading time: 0 Render date: 2024-11-25T05:47:44.398Z Has data issue: false hasContentIssue false

Strategic Voting Equilibria under the Single Nontransferable Vote

Published online by Cambridge University Press:  02 September 2013

Gary W. Cox
Affiliation:
University of California, San Diego

Abstract

Previous investigations of strategic voting equilibria in mass electorates have looked only at single-member districts. I shall investigate such equilibria in multimember districts operating under the single nontransferable vote system. What appear to be the most natural equilibria conform to the M + 1 rule, according to which strategic voting in M-seat districts produces exactly M + 1 vote-getting candidates in equilibrium, any others having their support totally undercut. This result provides the beginnings of a formal underpinning for Reed's recent extension of Duverger's Law to the Japanese case. The model also generates specific and empirically testable hypotheses concerning the exceptions to the M + 1 rule that one ought to expect in equilibrium. I test these hypotheses with Japanese data. Finally, the model also reveals a type of strategic voting that is specific to multimember districts. I use Japanese data again to explore the empirical importance of this kind of strategic voting.

Type
Articles
Copyright
Copyright © American Political Science Association 1994

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Austen-Smith, David. 1987. “Sophisticated Sincerity: Voting over Endogenous Agendas.” American Political Science Review 81:1323–30.CrossRefGoogle Scholar
Banks, Jeffrey. 1985. “Sophisticated Voting Outcomes and Agenda Control.” Social Choke and Welfare 1:295306.CrossRefGoogle Scholar
Cox, Gary W. 1984. “Strategic Electoral Choice in Multi-Member Districts: Approval Voting in Practice?American Journal of Political Science 28:722–38.CrossRefGoogle Scholar
Cox, Gary W. 1987. “Duverger's Law and Strategic Voting.” University of California, San Diego. Typescript.Google Scholar
Cox, Gary W. 1991. “Duverger's Law: An Interpretive Review of Research.” University of California, San Diego. Typescript.Google Scholar
Cox, Gary W., and Munger, Michael. 1989. “Closeness, Expenditures, and Turnout in the 1982 U.S. House Elections.” American Political Science Review 83:217231.CrossRefGoogle Scholar
Cox, Gary W., and Niou, Emerson. 1994. “Seat Bonuses under the Single Non-Transferable Vote System: Evidence from Japan and Taiwan.” Comparative Politics 26:221236.CrossRefGoogle Scholar
Downs, Anthony. 1957. An Economic Theory of Democracy. New York: Harper.Google Scholar
Duverger, Maurice. 1955. Political Parties. New York: Wiley.Google Scholar
Farquharson, Robin. 1969. Theory of Voting. New Haven: Yale University Press.Google Scholar
Green, Donald P., and Shapiro, Ian. 1993. “Pathologies of Rational Choice Theory: A Critique of Applications in Political Science.” Institution for Social and Policy Studies Working Paper No. 1043. Yale University.Google Scholar
Hoffman, Dale T. 1982. “A Model for Strategic Voting.” SIAM Journal of Applied Mathematics 42:751–61.CrossRefGoogle Scholar
Laakso, Marku, and Taagepera, Rein. 1979. “Effective Number of Parties: A Measure with Application to West Europe.” Comparative Political Studies 12:327.CrossRefGoogle Scholar
Ledyard, John. 1984. “The Pure Theoryy of Two Candidate Elections.” Public Choice 44:741.CrossRefGoogle Scholar
McKelvey, Richard, and Ordeshook, Peter. 1972. “A General Theory of the Calculus of Voting.” In Mathematical Applications in Political Science, vol. 6, ed. Herndon, J. F. and Bernd, J. L.. Charlottesville: University Press of Virginia.Google Scholar
McKelvey, Richard, and Niemi, Richard. 1978. “A Multistage Representation of Sophisticated Voting for Binary Procedures.” Journal of Economic Theory 18:122.CrossRefGoogle Scholar
Meehl, P. E. 1977. “The Selfish Voter Paradox and the Thrown-away Vote Argument.” American Political Science Review 61:1130.CrossRefGoogle Scholar
Miller, Nicholas. 1980. “A New Solution Set for Tournaments and Majority Voting.” American Journal of Political Science 24:6896.CrossRefGoogle Scholar
Myerson, Roger, and Weber, Robert. 1993. “A Theory of Voting Equilibria.” American Political Science Review 87:102114.CrossRefGoogle Scholar
Niemi, Richard. 1984. “The Problem of Strategic Voting under Approval Voting.” American Political Science Review 78:952–58.CrossRefGoogle Scholar
Ordeshook, Peter, and Schwartz, Thomas. 1987. “Agendas and the Control of Political Outcomes.” American Political Science Review 81:179–99.CrossRefGoogle Scholar
Palfrey, Thomas. 1989. “A Mathematical Proof of Duverger's Law.” In Models of Strategic Choice in Politics, ed. Ordeshook, Peter C.. Ann Arbor: University of Michigan Press.Google Scholar
Reed, Steven R. 1991. “Structure and Behaviour: Extending Duverger's Law to the Japanese Case.” British Journal of Political Science 29:335–56.Google Scholar
Riker, William H. 1982. “The Two-Party System and Duverger's Law: An Essay on the History of Political Science.” American Political Science Review 76:753–66.Google Scholar
Shepsle, Kenneth, and Weingast, Barry. 1984. “Uncovered Sets and Sophisticated Voting Outcomes with Implications for Agenda Control.” American Journal of Political Science 28:4974.CrossRefGoogle Scholar
Silverman, B. W. 1981. “Using Kernel Density Estimates to Investigate Multimodality.” Journal of the Royal Statistical Society, ser. B 43:9799.Google Scholar
Submit a response

Comments

No Comments have been published for this article.