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Manipulation of Voting Mechanisms

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The Logic of Multiparty Systems

Part of the book series: International Studies in Economics and Econometrics ((ISEE,volume 17))

Abstract

It is well known that a strategically non-manipulable voting mechanism which satisfies the Arrow condition of citizens’ sovereignty is dictatorial if it satisfies single-valuedness, and oligarchical if it satisfies binariness. This paper attempts to weaken both conditions to resolve the dilemma between strategic manipulation of a voting mechanism and an unacceptable power structure. It is shown that although the dilemma cannot be resolved completely, the power structure diminishes significantly as the single-valuedness and the binariness are relaxed. Furthermore, introducing a weaker notion of manipulability which takes account of possible counter-threats the sensitivity of power structure with the degree of binariness is established.

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References

  • Arrow, K.J. (1963). Social Choice and Individual Values. Wiley, New York.

    Google Scholar 

  • Bandyopadhyay, T. (1982). “Threats, Counter-Threats and Strategic Manipulation for Non-Binary Group Decision Rules”, Mathematical Social Sciences, 2, 145–155.

    Article  Google Scholar 

  • Bandyopadhyay, T. (1983a). “Limited Resoluteness and Strategic Voting: The Case of Linear Sincere Preference Orderings”, Mathematical Social Sciences, 6, 109–117.

    Article  Google Scholar 

  • Bandyopadhyay, T. (1983b). “Manipulation of Non-Imposed, Non-Oligarchic, Non-Binary Group Decision Rules”, Economic Letters, 11, 69–73.

    Article  Google Scholar 

  • Bandyopadhyay, T. (1984). “On the Frontier Between Possibility and Impossibility Theorems in Social Choice”, Journal of Economic Theory, 32, 52–66.

    Article  Google Scholar 

  • Bandyopadhyay, T. (1985). “Pareto Optimality and the Decisive Power Structure with Expansion Consistency Conditions”, Journal of Economic Theory, 35, 366–375.

    Article  Google Scholar 

  • Bandyopadhyay, T. and R. Deb (1983). “Strategic Voting for Weakly Binary Group Decision Functions: The Case of Linear Individual Orderings”, in M. Salles and P. K. Pattaniak (eds.), Social Choice and Welfare. North-Holland, Amsterdam.

    Google Scholar 

  • Barbera, S. (1977a). “Manipulation of Social Decision Functions”, Journal of Economic Theory, 15, 266–278.

    Article  Google Scholar 

  • Barbera, S. (1977b). “The Manipulation of Social Decision Mechanisms that Do Not Leave ‘too much’ to Change”, Econometrica, 3, 1573–1588.

    Article  Google Scholar 

  • Barta, R. AND P.K. Pattanaik (1972). “On Some Suggestions for Having Non-Binary Social Choice Functions”, Theory and Decision, 3, 1–11.

    Article  Google Scholar 

  • Deb, R. (1977). “On Schwartz’s Rule”, Journal of Economic Theory, 15, 103–110

    Article  Google Scholar 

  • Farquharson, R. (1969). Theory of Voting. Yale University Press, New Haven.

    Google Scholar 

  • Gardenfors, P. (1976). “Manipulation of Social Choice Functions”, Journal of Economic Theory, 13, 217–226.

    Article  Google Scholar 

  • Gibbard, A. (1969). Intransitive Social Indifference and the Arrow Dilemma, unpublished manuscript.

    Google Scholar 

  • Gibbard, A. (1973). “Manipulation of Voting Schemes: A General Result”, Econometrica, 41, 587–601.

    Article  Google Scholar 

  • Guha, A. (1972). “Neutrality, Monotonicity and the Right of Veto”, Econometrica, 40, 821–826.

    Article  Google Scholar 

  • Kelly, J.S. (1978). “Strategy-Proofness and Social Choice Functions Without Single-Valuedness”, Econometrica, 46, 439–446.

    Google Scholar 

  • Macintyre, I. and P.K. Pattanaik (1981). “The Strategic Voting Under Minimally Binary Group Decision Functions”, Journal of Economic Theory, 25, 338–352.

    Article  Google Scholar 

  • Mascolell, A. And H. Sonnenschein (1972). “General Possibility Theorems for Group Decisions”, Review of Economic Studies, 39, 185–192.

    Google Scholar 

  • Nash, J.F. (1951). “Non-Cooperative Games”, Annals of Mathematics.

    Google Scholar 

  • Pattanaik, P.K. (1976a). “Counter-threats and Strategic Manipulation Under Voting Schemes”, Review of Economic Studies, 43, 11–18.

    Article  Google Scholar 

  • Pattanaik, P.K. (1976b). “Threats, Counter Threats and Strategic Voting”, Econometrica, 44, 91–.104.

    Google Scholar 

  • Pattanaik, P.K. (1978). Strategy and Croup Choice. North-Holland, Amsterdam,

    Google Scholar 

  • Satterthwaite, M.A. (1975). “Strategy-Proofness and Arrow’s Conditions: Existence and Correspondence Theorems for Voting Procedures”, Journal of Economic Theory, 10, 187–217.

    Article  Google Scholar 

  • Schwartz, T. (1972). “Rationality and the Myth of the Maximum”, Nous, 7, 97–117.

    Article  Google Scholar 

  • Sengupta, M. (1980). “Monotonicity, Independence of Irrelevant Alternatives and Strategy–Proofness of Social Decision Functions”, Review of Economic Studies, 47, 390–407.

    Article  Google Scholar 

  • Shubik, M. (1959). Strategy and Market Structure. Wiley & Sons, New York.

    Google Scholar 

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© 1987 Martinus Nijhoff Publishers, Dordrecht, The Netherlands

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Bandyopadhyay, T. (1987). Manipulation of Voting Mechanisms. In: Holler, M.J. (eds) The Logic of Multiparty Systems. International Studies in Economics and Econometrics, vol 17. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-3607-2_4

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  • DOI: https://doi.org/10.1007/978-94-009-3607-2_4

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-8114-6

  • Online ISBN: 978-94-009-3607-2

  • eBook Packages: Springer Book Archive

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