The “probability of a fit choice”
This paper attempts to model elections by incorporating voter judgments about candidate and leader competence. The proposed model can be linked to Madison’s understanding of the nature of the choice of Chief Magistrate (Madison, James Madison: writings. The Library of America, New York, 1999 ) and Condorcet’s work on the so-called “Jury Theorem” (Condorcet 1994 ). Electoral models use the notion of a Nash Equilibrium. This notion generally depends on a fixed point argument. For deterministic electoral models, there will typically be no equilibrium. Instead we introduce the idea of a preference field, $$H,$$ for the society. A condition called half-openess of $$H$$ is sufficient to guarantee existence of a local direction gradient, $$d,$$ Even when $$d$$ is not well-defined we can use the idea of the heart for the society. This is an attractor of the set of social moves that can occur. As an application, a stochastic model of elections is considered, and applied to the 2008 presidential election in the United States. In such a stochastic model the electoral origin will satisfy the first order condition for a local Nash equilibrium. We then show how to compute the Hessian of each candidate’s vote share function, and obtain necessary and sufficient conditions for convergence to the electoral origin, suggesting that there will be a social direction gradient. The origin maximizes aggregrate voter utility and can be interpreted as a fit choice for the polity. Copyright Springer-Verlag Berlin Heidelberg 2013
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Volume (Year): 17 (2013)
Issue (Month): 2 (June)
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- 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.
- Smale, S., 1974. "Global analysis and economics IIA : Extension of a theorem of Debreu," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 1-14, March.
- Borglin, Anders & Keiding, Hans, 1976. "Existence of equilibrium actions and of equilibrium : A note on the `new' existence theorems," Journal of Mathematical Economics, Elsevier, vol. 3(3), pages 313-316, December.
- Saari,Donald G., 2008. "Disposing Dictators, Demystifying Voting Paradoxes," Cambridge Books, Cambridge University Press, number 9780521516051, October.
- Debreu, Gerard, 1974. "Excess demand functions," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 15-21, March.
- McKelvey, Richard D., 1976. "Intransitivities in multidimensional voting models and some implications for agenda control," Journal of Economic Theory, Elsevier, vol. 12(3), pages 472-482, June.
- Aliprantis, Charalambos D. & Brown, Donald J., 1983.
"Equilibria in markets with a Riesz space of commodities,"
Journal of Mathematical Economics,
Elsevier, vol. 11(2), pages 189-207, April.
- Aliprantis, Charalambos D. & Brown, D. J., 1982. "Equilibrium in Markets with a Riesz Space of Commodities," Working Papers 427, California Institute of Technology, Division of the Humanities and Social Sciences.
- Chichilnisky, Graciela, 1996.
"Markets and games: a simple equivalence among the core, equilibrium and limited arbitrage,"
8492, University Library of Munich, Germany.
- Graciela Chichilnisky, 1996. "Markets And Games: A Simple Equivalence Among The Core, Equilibrium And Limited Arbitrage," Metroeconomica, Wiley Blackwell, vol. 47(3), pages 266-280, October.
- Acemoglu,Daron & Robinson,James A., 2006.
"Economic Origins of Dictatorship and Democracy,"
Cambridge University Press, number 9780521855266, October.
- Norman Schofield, 2007. "The Mean Voter Theorem: Necessary and Sufficient Conditions for Convergent Equilibrium," Review of Economic Studies, Oxford University Press, vol. 74(3), pages 965-980.
- Patty, John W. & Snyder, James M. & Ting, Michael M., 2009. "Two's Company, Three's an Equilibrium: Strategic Voting and Multicandidate Elections," Quarterly Journal of Political Science, now publishers, vol. 4(3), pages 251-278, October.
- Norman Schofield, 2010. "Social orders," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 34(3), pages 503-536, March.
- Norman Schofield, 1983. "Generic Instability of Majority Rule," Review of Economic Studies, Oxford University Press, vol. 50(4), pages 695-705.
- Daron Acemoglu, 2007.
"Oligarchic Versus Democratic Societies,"
Carlo Alberto Notebooks
47, Collegio Carlo Alberto.
- Schofield, Norman, 1984.
"Social equilibrium and cycles on compact sets,"
Journal of Economic Theory,
Elsevier, vol. 33(1), pages 59-71, June.
- Saari,Donald G., 2008. "Disposing Dictators, Demystifying Voting Paradoxes," Cambridge Books, Cambridge University Press, number 9780521731607, October.
- Yannelis, Nicholas C. & Prabhakar, N. D., 1983. "Existence of maximal elements and equilibria in linear topological spaces," Journal of Mathematical Economics, Elsevier, vol. 12(3), pages 233-245, December.
- McKelvey, Richard D, 1979. "General Conditions for Global Intransitivities in Formal Voting Models," Econometrica, Econometric Society, vol. 47(5), pages 1085-1112, September.
- Arrow, Kenneth J, 1986. "Rationality of Self and Others in an Economic System," The Journal of Business, University of Chicago Press, vol. 59(4), pages S385-99, October.
- Wayne Shafer & Hugo Sonnenschein, 1974.
"Equilibrium in Abstract Economies Without Ordered Preferences,"
94, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Shafer, Wayne & Sonnenschein, Hugo, 1975. "Equilibrium in abstract economies without ordered preferences," Journal of Mathematical Economics, Elsevier, vol. 2(3), pages 345-348, December.
- Chichilnisky, Graciela, 1997. "A topological invariant for competitive markets," Journal of Mathematical Economics, Elsevier, vol. 28(4), pages 445-469, November.
- 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.
- McKelvey, Richard D & Schofield, Norman, 1987.
"Generalized Symmetry Conditions at a Core Point,"
Econometric Society, vol. 55(4), pages 923-933, July.
- Norman Schofield, 1978. "Instability of Simple Dynamic Games," Review of Economic Studies, Oxford University Press, vol. 45(3), pages 575-594.
- Chichilnisky, G., 1993. "Intersecting Families of Sets and the Topology of Cones in Economics," Papers 93-17, Columbia - Graduate School of Business.
- Schofield, Norman., . "Existence of Equilibrium on a Manifold," Working Papers 482, California Institute of Technology, Division of the Humanities and Social Sciences.
- Schofield, Norman., . "Classification Theorem for Smooth Social Choice," Working Papers 514, California Institute of Technology, Division of the Humanities and Social Sciences.
- Walker, Mark, 1977. "On the existence of maximal elements," Journal of Economic Theory, Elsevier, vol. 16(2), pages 470-474, December.
- Schofield, N. & Tovey, C.A., 1992. "Probability and Convergence for Supramajority rule with Euclidean Preferences," Papers 163, Washington St. Louis - School of Business and Political Economy.
- McKelvey, Richard D. & Patty, John W., 2006. "A theory of voting in large elections," Games and Economic Behavior, Elsevier, vol. 57(1), pages 155-180, October.
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