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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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  • Jeffrey S. Banks & John Duggan & Michel LeBreton, "undated". "Bounds for Mixed Strategy Equilibria and the Spatial Model of Elections," Wallis Working Papers WP14, University of Rochester - Wallis Institute of Political Economy.
  • Handle: RePEc:roc:wallis:wp14
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    References listed on IDEAS

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    1. Maxwell B. Stinchcombe & Halbert White, 1992. "Some Measurability Results for Extrema of Random Functions Over Random Sets," Review of Economic Studies, Oxford University Press, vol. 59(3), pages 495-514.
    2. Michel Le Breton & John Duggan, 2001. "Mixed refinements of Shapley's saddles and weak tournaments," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(1), pages 65-78.
    3. D. Pearce, 2010. "Rationalizable Strategic Behavior and the Problem of Perfection," Levine's Working Paper Archive 523, David K. Levine.
    4. Norman Schofield, 1983. "Generic Instability of Majority Rule," Review of Economic Studies, Oxford University Press, vol. 50(4), pages 695-705.
    5. McKelvey, Richard D & Schofield, Norman, 1987. "Generalized Symmetry Conditions at a Core Point," Econometrica, Econometric Society, vol. 55(4), pages 923-933, July.
    6. Dutta, Bhaskar, 1988. "Covering sets and a new condorcet choice correspondence," Journal of Economic Theory, Elsevier, vol. 44(1), pages 63-80, February.
    7. Bernheim, B Douglas, 1984. "Rationalizable Strategic Behavior," Econometrica, Econometric Society, vol. 52(4), pages 1007-1028, July.
    8. Banks, Jeffrey S., 1995. "Singularity theory and core existence in the spatial model," Journal of Mathematical Economics, Elsevier, vol. 24(6), pages 523-536.
    9. David Austen-Smith & Jeffrey S. Banks, 1999. "Cycling of simple rules in the spatial model," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 16(4), pages 663-672.
    10. Cohen, Linda, 1979. "Cyclic sets in multidimensional voting models," Journal of Economic Theory, Elsevier, vol. 20(1), pages 1-12, February.
    11. repec:cup:apsrev:v:74:y:1980:i:02:p:432-446_16 is not listed on IDEAS
    12. 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.
    13. Rubinstein, Ariel, 1979. "A Note about the "Nowhere Denseness" of Societies Having an Equilibrium under Majority Rule," Econometrica, Econometric Society, vol. 47(2), pages 511-514, March.
    14. Pearce, David G, 1984. "Rationalizable Strategic Behavior and the Problem of Perfection," Econometrica, Econometric Society, vol. 52(4), pages 1029-1050, July.
    15. 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.
    16. Georges Bordes & Michel Le Breton & Maurice Salles, 1992. "Gillies and Miller's Subrelations of a Relation over an Infinite Set of Alternatives: General Results and Applications to Voting Games," Mathematics of Operations Research, INFORMS, vol. 17(3), pages 509-518, August.
    17. 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.
    18. McKelvey, Richard D, 1979. "General Conditions for Global Intransitivities in Formal Voting Models," Econometrica, Econometric Society, vol. 47(5), pages 1085-1112, September.
    19. Bhaskar Dutta & Jean-Francois Laslier, 1999. "Comparison functions and choice correspondences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 16(4), pages 513-532.
    20. 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.
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    Cited by:

    1. 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.
    2. 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.
    3. Xefteris, Dimitrios, 2017. "Multidimensional electoral competition between differentiated candidates," Games and Economic Behavior, Elsevier, vol. 105(C), pages 112-121.
    4. Cho, Seok-ju & Duggan, John, 2009. "Bargaining foundations of the median voter theorem," Journal of Economic Theory, Elsevier, vol. 144(2), pages 851-868, March.
    5. Jean-François Laslier, 2003. "Party objectives in the "Divide a dollar" electoral competition," Working Papers hal-00242987, HAL.
    6. Tovey, Craig A., 2010. "A critique of distributional analysis in the spatial model," Mathematical Social Sciences, Elsevier, vol. 59(1), pages 88-101, January.
    7. Norman Schofield, 2007. "Modelling Politics," ICER Working Papers 33-2007, ICER - International Centre for Economic Research.
    8. 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.
    9. Scott Feld & Joseph Godfrey & Bernard Grofman, 2013. "In quest of the banks set in spatial voting games," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(1), pages 43-71, June.
    10. Oriol Carbonell-Nicolau & Efe Ok, 2004. "Multidimensional income taxation and electoral competition: an equilibrium analysis," Departmental Working Papers 200407, Rutgers University, Department of Economics.
    11. 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).
    12. Banks, Jeffrey S. & Duggan, John & Le Breton, Michel, 2006. "Social choice and electoral competition in the general spatial model," Journal of Economic Theory, Elsevier, vol. 126(1), pages 194-234, January.
    13. 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.
    14. Elizabeth Penn, 2006. "Alternate Definitions of the Uncovered Set and Their Implications," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 27(1), pages 83-87, August.
    15. Jean-François Laslier, 2006. "Ambiguity in Electoral Competition," Economics of Governance, Springer, vol. 7(2), pages 195-210, May.
    16. Carbonell-Nicolau, Oriol & Ok, Efe A., 2007. "Voting over income taxation," Journal of Economic Theory, Elsevier, vol. 134(1), pages 249-286, May.
    17. 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.
    18. Matias Nunez, 2007. "Tax avoidance and the political appeal of progressivity," Working Papers hal-00243060, HAL.
    19. 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.
    20. De Donder, Philippe & Gallego, Maria, 2017. "Electoral Competition and Party Positioning," TSE Working Papers 17-760, Toulouse School of Economics (TSE).
    21. John Duggan, 2011. "Uncovered Sets," Wallis Working Papers WP63, University of Rochester - Wallis Institute of Political Economy.
    22. John Duggan, 2013. "Uncovered sets," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(3), pages 489-535, September.
    23. Tovey, Craig A., 2010. "The almost surely shrinking yolk," Mathematical Social Sciences, Elsevier, vol. 59(1), pages 74-87, January.

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