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Bounds for Mixed Strategy Equilibria and the Spatial Model of Elections

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  • Jeffrey S. Banks

    (University of Rochester)

  • John Duggan

    (University of Rochester)

  • Michel LeBreton

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Paper provided by University of Rochester - Wallis Institute of Political Economy in its series Wallis Working Papers with number WP14.

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Handle: RePEc:roc:wallis:wp14

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Postal: University of Rochester, Wallis Institute, Harkness 109B Rochester, New York 14627 U.S.A.

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References

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  1. Cohen, Linda, 1979. "Cyclic sets in multidimensional voting models," Journal of Economic Theory, Elsevier, vol. 20(1), pages 1-12, February.
  2. D. Pearce, 2010. "Rationalizable Strategic Behavior and the Problem of Perfection," Levine's Working Paper Archive 523, David K. Levine.
  3. B. Dutta & J-F. Laslier, 1998. "Comparison functions and choice correspondences," THEMA Working Papers 98-12, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
  4. McKelvey, Richard D. & Schofield, Norman., 1985. "Generalized Symmetry Conditions at a Core Point," Working Papers 552, California Institute of Technology, Division of the Humanities and Social Sciences.
  5. D. B. Bernheim, 2010. "Rationalizable Strategic Behavior," Levine's Working Paper Archive 661465000000000381, David K. Levine.
  6. DUGGAN, John & LE BRETON, Michel, 1999. "Mixed refinements of Shapley’s saddles and weak tournaments," CORE Discussion Papers 1999021, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  7. David Austen-Smith & Jeffrey S. Banks, 1998. "Cycling of Simple Rules in the Spatial Model," Discussion Papers 1246, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  8. Rubinstein, Ariel, 1979. "A Note about the "Nowhere Denseness" of Societies Having an Equilibrium under Majority Rule," Econometrica, Econometric Society, vol. 47(2), pages 511-14, March.
  9. Dutta, Bhaskar, 1988. "Covering sets and a new condorcet choice correspondence," Journal of Economic Theory, Elsevier, vol. 44(1), pages 63-80, February.
  10. Donald G. Saari, 1997. "The generic existence of a core for q -rules (*)," Economic Theory, Springer, vol. 9(2), pages 219-260.
  11. Schofield, Norman, 1983. "Generic Instability of Majority Rule," Review of Economic Studies, Wiley Blackwell, vol. 50(4), pages 695-705, October.
  12. Stinchcombe, Maxwell B & White, Halbert, 1992. "Some Measurability Results for Extrema of Random Functions over Random Sets," Review of Economic Studies, Wiley Blackwell, vol. 59(3), pages 495-514, July.
  13. McKelvey, Richard D, 1979. "General Conditions for Global Intransitivities in Formal Voting Models," Econometrica, Econometric Society, vol. 47(5), pages 1085-1112, September.
  14. 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.
  15. Moulin, Herve, 1994. "Social choice," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 2, chapter 31, pages 1091-1125 Elsevier.
  16. Banks, Jeffrey S., 1995. "Singularity theory and core existence in the spatial model," Journal of Mathematical Economics, Elsevier, vol. 24(6), pages 523-536.
  17. Pearce, David G, 1984. "Rationalizable Strategic Behavior and the Problem of Perfection," Econometrica, Econometric Society, vol. 52(4), pages 1029-50, July.
  18. Laffond G. & Laslier J. F. & Le Breton M., 1993. "The Bipartisan Set of a Tournament Game," Games and Economic Behavior, Elsevier, vol. 5(1), pages 182-201, January.
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Citations

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Cited by:
  1. Norman Schofield, 2007. "Modelling Politics," ICER Working Papers 33-2007, ICER - International Centre for Economic Research.
  2. Carbonell-Nicolau, Oriol & Ok, Efe A., 2007. "Voting over income taxation," Journal of Economic Theory, Elsevier, vol. 134(1), pages 249-286, May.
  3. John Duggan, 2013. "Uncovered sets," Social Choice and Welfare, Springer, vol. 41(3), pages 489-535, September.
  4. Oriol Carbonell-Nicolau & Efe Ok, 2004. "Multidimensional income taxation and electoral competition: an equilibrium analysis," Departmental Working Papers 200407, Rutgers University, Department of Economics.
  5. Scott Feld & Joseph Godfrey & Bernard Grofman, 2013. "In quest of the banks set in spatial voting games," Social Choice and Welfare, Springer, vol. 41(1), pages 43-71, June.
  6. Banks, Jeffrey & Duggan, John & Le Breton, Michel, 2003. "Social Choice and Electoral Competition in the General Spatial Model," IDEI Working Papers 188, Institut d'Économie Industrielle (IDEI), Toulouse.
  7. Jean-François Laslier, 2006. "Ambiguity in Electoral Competition," Economics of Governance, Springer, vol. 7(2), pages 195-210, May.
  8. Austen-Smith, David & Banks, Jeffrey S. & Rustichini, Aldo, 2002. "Introduction to Political Science," Journal of Economic Theory, Elsevier, vol. 103(1), pages 1-10, March.
  9. John Duggan, 2011. "General Conditions for Existence of Maximal Elements via the Uncovered Set," RCER Working Papers 563, University of Rochester - Center for Economic Research (RCER).
  10. John Duggan & Seok-ju Cho, 2007. "Bargaining Foundations of the Median Voter Theorem," Wallis Working Papers WP49, University of Rochester - Wallis Institute of Political Economy.
  11. Tovey, Craig A., 2010. "The almost surely shrinking yolk," Mathematical Social Sciences, Elsevier, vol. 59(1), pages 74-87, January.
  12. Tovey, Craig A., 2010. "A critique of distributional analysis in the spatial model," Mathematical Social Sciences, Elsevier, vol. 59(1), pages 88-101, January.
  13. Matias Nunez, 2007. "Tax avoidance and the political appeal of progressivity," Working Papers hal-00243060, HAL.
  14. Jean-François Laslier, 2003. "Party objectives in the "Divide a dollar" electoral competition," Working Papers hal-00242987, HAL.
  15. Hummel, Patrick, 2010. "On the nature of equilibria in a Downsian model with candidate valence," Games and Economic Behavior, Elsevier, vol. 70(2), pages 425-445, November.
  16. McKelvey, Richard & Tovey, Craig A., 2010. "Approximation of the yolk by the LP yolk," Mathematical Social Sciences, Elsevier, vol. 59(1), pages 102-109, January.
  17. 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.
  18. Duggan, John, 2011. "General conditions for the existence of maximal elements via the uncovered set," Journal of Mathematical Economics, Elsevier, vol. 47(6), pages 755-759.
  19. Elizabeth Penn, 2006. "Alternate Definitions of the Uncovered Set and Their Implications," Social Choice and Welfare, Springer, vol. 27(1), pages 83-87, August.
  20. Duggan, John, 2007. "Equilibrium existence for zero-sum games and spatial models of elections," Games and Economic Behavior, Elsevier, vol. 60(1), pages 52-74, July.
  21. John Duggan, 2011. "Uncovered Sets," Wallis Working Papers WP63, University of Rochester - Wallis Institute of Political Economy.

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