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On the probability that all decision rules select the same winner

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  • Merlin, V.
  • Tataru, M.
  • Valognes, F.

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  • Merlin, V. & Tataru, M. & Valognes, F., 2000. "On the probability that all decision rules select the same winner," Journal of Mathematical Economics, Elsevier, vol. 33(2), pages 183-207, March.
    • Handle: RePEc:eee:mateco:v:33:y:2000:i:2:p:183-207
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    References listed on IDEAS

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    1. Donald G. Saari, 1997. "Explaining Positional Voting Paradoxes: The Simple Case," Discussion Papers 1179, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    2. Dominique Lepelley, 1996. "Constant scoring rules, Condorcet criteria and single-peaked preferences (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(3), pages 491-500.
    3. William V. Gehrlein, 1998. "The sensitivity of weight selection on the Condorcet efficiency of weighted scoring rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 15(3), pages 351-358.
    4. Sven Berg, 1985. "Paradox of voting under an urn model: The effect of homogeneity," Public Choice, Springer, vol. 47(2), pages 377-387, January.
    5. William Gehrlein & Peter Fishburn, 1983. "Scoring rule sensitivity to weight selection," Public Choice, Springer, vol. 40(3), pages 249-261, January.
    6. William Gehrlein, 1999. "On the Probability that all Weighted Scoring Rules Elect the Condorcet Winner," Quality & Quantity: International Journal of Methodology, Springer, vol. 33(1), pages 77-84, February.
    7. Donald G. Saari & Maria M. Tataru, 1999. "The likelihood of dubious election outcomes," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 13(2), pages 345-363.
    8. Van Newenhizen, Jill, 1992. "The Borda Method Is Most Likely to Respect the Condorcet Principle," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 2(1), pages 69-83, January.
    9. Vincent R. Merlin & Donald G. Saari, "undated". "The Copeland Method I; Relationships and the Dictionary," Discussion Papers 1111, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    10. Tataru, Maria & Merlin, Vincent, 1997. "On the relationship of the Condorcet winner and positional voting rules," Mathematical Social Sciences, Elsevier, vol. 34(1), pages 81-90, August.
    11. Gehrlein, William V. & Fishburn, Peter C., 1978. "Probabilities of election outcomes for large electorates," Journal of Economic Theory, Elsevier, vol. 19(1), pages 38-49, October.
    12. Kramer, Gerald H., 1977. "A dynamical model of political equilibrium," Journal of Economic Theory, Elsevier, vol. 16(2), pages 310-334, December.
    13. Dominique Lepelley & Fabrice Valognes, 1999. "On the Kim and Roush Voting Procedure," Group Decision and Negotiation, Springer, vol. 8(2), pages 109-123, March.
    14. Donald G. Saari & Vincent R. Merlin, 1996. "The Copeland method (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(1), pages 51-76.
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    Cited by:

    1. Eric Kamwa & Vincent Merlin, 2019. "The Likelihood of the Consistency of Collective Rankings Under Preferences Aggregation with Four Alternatives Using Scoring Rules: A General Formula and the Optimal Decision Rule," Computational Economics, Springer;Society for Computational Economics, vol. 53(4), pages 1377-1395, April.
    2. Mostapha Diss & Vincent Merlin, 2010. "On the stability of a triplet of scoring rules," Theory and Decision, Springer, vol. 69(2), pages 289-316, August.
    3. William Gehrlein, 1999. "On the Probability that all Weighted Scoring Rules Elect the Condorcet Winner," Quality & Quantity: International Journal of Methodology, Springer, vol. 33(1), pages 77-84, February.
    4. John C. McCabe-Dansted & Arkadii Slinko, 2006. "Exploratory Analysis of Similarities Between Social Choice Rules," Group Decision and Negotiation, Springer, vol. 15(1), pages 77-107, January.
    5. Takahiro Suzuki & Masahide Horita, 2023. "A Society Can Always Decide How to Decide: A Proof," Group Decision and Negotiation, Springer, vol. 32(5), pages 987-1023, October.
    6. Bonifacio Llamazares & Teresa Peña, 2015. "Positional Voting Systems Generated by Cumulative Standings Functions," Group Decision and Negotiation, Springer, vol. 24(5), pages 777-801, September.
    7. Chatterjee, Swarnendu & Storcken, Ton, 2020. "Frequency based analysis of collective aggregation rules," Journal of Mathematical Economics, Elsevier, vol. 87(C), pages 56-66.
    8. Truchon, Michel, 2004. "Aggregation of Rankings in Figure Skating," Cahiers de recherche 0402, Université Laval - Département d'économique.
    9. Merlin, Vincent & Valognes, Fabrice, 2004. "The impact of indifferent voters on the likelihood of some voting paradoxes," Mathematical Social Sciences, Elsevier, vol. 48(3), pages 343-361, November.
    10. William Gehrlein, 2006. "The sensitivity of weight selection for scoring rules to profile proximity to single-peaked preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 26(1), pages 191-208, January.
    11. Mostapha Diss & Eric Kamwa & Abdelmonaim Tlidi, 2020. "On Some k -scoring Rules for Committee Elections: Agreement and Condorcet Principle," Revue d'économie politique, Dalloz, vol. 130(5), pages 699-725.
    12. Kamwa, Eric & Merlin, Vincent, 2015. "Scoring rules over subsets of alternatives: Consistency and paradoxes," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 130-138.
    13. Eric Kamwa & Vincent Merlin, 2018. "The Likelihood of the Consistency of Collective Rankings under Preferences Aggregation with Four Alternatives using Scoring Rules: A General Formula and the Optimal Decision Rule," Working Papers hal-01757742, HAL.
    14. Raúl Pérez-Fernández & Bernard De Baets, 2019. "The superdominance relation, the positional winner, and more missing links between Borda and Condorcet," Journal of Theoretical Politics, , vol. 31(1), pages 46-65, January.
    15. William V. Gehrlein & Hemant V. Kher, 2004. "Decision Rules for the Academy Awards Versus Those for Elections," Interfaces, INFORMS, vol. 34(3), pages 226-234, June.
    16. McIntee, Tomas J. & Saari, Donald G., 2017. "Likelihood of voting outcomes with generalized IAC probabilities," Mathematical Social Sciences, Elsevier, vol. 87(C), pages 1-10.
    17. D. Marc Kilgour & Jean-Charles Grégoire & Angèle M. Foley, 2022. "Weighted scoring elections: is Borda best?," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 58(2), pages 365-391, February.
    18. Saari, Donald G. & Valognes, Fabrice, 1999. "The geometry of Black's single peakedness and related conditions," Journal of Mathematical Economics, Elsevier, vol. 32(4), pages 429-456, December.
    19. Aaron Meyers & Michael Orrison & Jennifer Townsend & Sarah Wolff & Angela Wu, 2014. "Generalized Condorcet winners," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(1), pages 11-27, June.
    20. Mostapha Diss & Eric Kamwa & Abdelmonaim Tlidi, 2019. "On some k-scoring rules for committee elections: agreement and Condorcet Principle," Working Papers hal-02147735, HAL.
    21. Gehrlein, William V. & Lepelley, Dominique, 2000. "The probability that all weighted scoring rules elect the same winner," Economics Letters, Elsevier, vol. 66(2), pages 191-197, February.
    22. Chatterjee, Swarnendu & Storcken, Ton, 2017. "Frequency Based Analysis of Voting Rules," Research Memorandum 006, Maastricht University, Graduate School of Business and Economics (GSBE).
    23. Wilson, Mark C. & Pritchard, Geoffrey, 2007. "Probability calculations under the IAC hypothesis," Mathematical Social Sciences, Elsevier, vol. 54(3), pages 244-256, December.
    24. Brian Kogelmann, 2017. "Aggregating out of indeterminacy," Politics, Philosophy & Economics, , vol. 16(2), pages 210-232, May.

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