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The variable choice set logit model applied to the 2004 Canadian election

Author

Listed:
  • Maria Gallego
  • Norman Schofield
  • Kevin McAlister
  • Jee Jeon

Abstract

Formal work on the electoral model often suggests that parties should locate at the electoral mean. Recent research has found no evidence of such convergence. In order to explain non-convergence, the stochastic electoral model is extended by including a competence and sociodemographic valance in a country where regional and national parties compete in the election. That is, the model allows voters to face different sets of parties in different regions. We introduce the notion of a convergence coefficient, c for regional and national parties and show that when c is high there is a significant centrifugal tendency acting on parties. An electoral survey of the 2004 election in Canada is used to construct a stochastic electoral model of the election with two regions: Québec and the rest of Canada. The survey allows us to estimate voter positions in the policy space. The variable choice set logit model is used to built a relationship between party position and vote share. We find that in the local Nash equilibrium for the election the two main parties with high competence valence, the Liberals and Conservatives, locate at the national electoral mean and the Bloc Québécois, with the highest competence valence, locates at the Québec electoral mean. The New Democratic Party has a low competence valence but remains at the national mean. The Greens, with lowest competence valence, locate away from the national mean to increase its vote share. Copyright Springer Science+Business Media New York 2014

Suggested Citation

  • Maria Gallego & Norman Schofield & Kevin McAlister & Jee Jeon, 2014. "The variable choice set logit model applied to the 2004 Canadian election," Public Choice, Springer, vol. 158(3), pages 427-463, March.
  • Handle: RePEc:kap:pubcho:v:158:y:2014:i:3:p:427-463
    DOI: 10.1007/s11127-013-0109-3
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    References listed on IDEAS

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    1. Norman Schofield & Christopher Claassen & Ugur Ozdemir & Alexei Zakharov, 2011. "Estimating the effects of activists in two-party and multi-party systems: comparing the United States and Israel," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 36(3), pages 483-518, April.
    2. Norman Schofield & Alexei Zakharov, 2010. "A stochastic model of the 2007 Russian Duma election," Public Choice, Springer, vol. 142(1), pages 177-194, January.
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    5. Norman Schofield, 1983. "Generic Instability of Majority Rule," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 50(4), pages 695-705.
    6. Aldrich, John H. & McKelvey, Richard D., 1977. "A Method of Scaling with Applications to the 1968 and 1972 Presidential Elections," American Political Science Review, Cambridge University Press, vol. 71(1), pages 111-130, March.
    7. Norman Schofield, 2006. "Equilibria in the spatial stochastic model of voting with party activists," Review of Economic Design, Springer;Society for Economic Design, vol. 10(3), pages 183-203, December.
    8. Anthony Downs, 1957. "An Economic Theory of Political Action in a Democracy," Journal of Political Economy, University of Chicago Press, vol. 65, pages 135-135.
    9. Norman Schofield, 2007. "The Mean Voter Theorem: Necessary and Sufficient Conditions for Convergent Equilibrium," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 74(3), pages 965-980.
    10. Riker, William H., 1980. "Implications from the Disequilibrium of Majority Rule for the Study of Institutions," American Political Science Review, Cambridge University Press, vol. 74(2), pages 432-446, June.
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    12. Donald G. Saari, 1997. "The generic existence of a core for q -rules (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 9(2), pages 219-260.
    13. Norman Schofield, 1978. "Instability of Simple Dynamic Games," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 45(3), pages 575-594.
    14. Schofield, Normal & Martin, Andrew D. & Quinn, Kevin M. & Whitford, Andrew B., 1998. "Multiparty Electoral Competition in the Netherlands and Germany: A Model Based on Multinomial Probit," Public Choice, Springer, vol. 97(3), pages 257-293, December.
    15. Riker, William H., 1982. "The Two-party System and Duverger's Law: An Essay on the History of Political Science," American Political Science Review, Cambridge University Press, vol. 76(4), pages 753-766, December.
    16. Norman Schofield & Maria Gallego & Ugur Ozdemir & Alexei Zakharov, 2011. "Competition for popular support: a valence model of elections in Turkey," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 36(3), pages 451-482, April.
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    Cited by:

    1. Pajala, Tommi & Korhonen, Pekka & Malo, Pekka & Sinha, Ankur & Wallenius, Jyrki & Dehnokhalaji, Akram, 2018. "Accounting for political opinions, power, and influence: A Voting Advice Application," European Journal of Operational Research, Elsevier, vol. 266(2), pages 702-715.
    2. Gallego, Maria & Schofield, Norman, 2017. "Modeling the effect of campaign advertising on US presidential elections when differences across states matter," Mathematical Social Sciences, Elsevier, vol. 90(C), pages 160-181.
    3. Maria Gallego & Norman Schofield, 2016. "Do parties converge to the electoral mean in all political systems?," Journal of Theoretical Politics, , vol. 28(2), pages 288-330, April.
    4. De Donder, Philippe & Gallego, Maria, 2017. "Electoral Competition and Party Positioning," TSE Working Papers 17-760, Toulouse School of Economics (TSE).

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    More about this item

    Keywords

    Stochastic vote model; Valence; Local Nash equilibrium; Convergence coefficient; H10;
    All these keywords.

    JEL classification:

    • H10 - Public Economics - - Structure and Scope of Government - - - General

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