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Strategy-proofness of a class of Borda rules

  • Manimay Sen
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    We formalize a class of ‘positional’ systems, and examine the problem of strategic misrevelation of preferences under these systems. The positional systems we consider include a wide class of ranking or point systems, which are variants of the Borda Procedure. We show that all of these systems afford scope for manipulation of social decisions through misrevelation. Copyright Martinus Nijhoff Publishers 1984

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    Article provided by Springer in its journal Public Choice.

    Volume (Year): 43 (1984)
    Issue (Month): 3 (January)
    Pages: 251-285

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    Handle: RePEc:kap:pubcho:v:43:y:1984:i:3:p:251-285
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    1. Moulin, Herve, 1980. "Implementing efficient, anonymous and neutral social choice functions," Journal of Mathematical Economics, Elsevier, vol. 7(3), pages 249-269, December.
    2. Kelly, Jerry S, 1977. "Strategy-Proofness and Social Choice Functions without Singlevaluedness," Econometrica, Econometric Society, vol. 45(2), pages 439-46, March.
    3. Gibbard, Allan, 1977. "Manipulation of Schemes That Mix Voting with Chance," Econometrica, Econometric Society, vol. 45(3), pages 665-81, April.
    4. Sen, Amartya K, 1977. "Social Choice Theory: A Re-examination," Econometrica, Econometric Society, vol. 45(1), pages 53-89, January.
    5. Fishburn, Peter C, 1973. "Summation Social Choice Functions," Econometrica, Econometric Society, vol. 41(6), pages 1183-96, November.
    6. Gibbard, Allan, 1973. "Manipulation of Voting Schemes: A General Result," Econometrica, Econometric Society, vol. 41(4), pages 587-601, July.
    7. Peleg, Bezalel, 1978. "Consistent Voting Systems," Econometrica, Econometric Society, vol. 46(1), pages 153-61, January.
    8. Dutta, Bhaskar, 1980. "On the Possibility of Consistent Voting Procedures," Review of Economic Studies, Wiley Blackwell, vol. 47(3), pages 603-16, April.
    9. Dutta, Bhaskar & Pattanaik, Prasanta K, 1978. "On Nicely Consistent Voting Systems," Econometrica, Econometric Society, vol. 46(1), pages 163-70, January.
    10. Ehud Kalai & Eitan Muller, 1977. "Characterization of Domains Admitting Nondictatorial Social Welfare Functions and Nonmanipulable Voting Procedures," Discussion Papers 234, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    11. Fine, B & Fine, K, 1974. "Social Choice and Individual Rankings II," Review of Economic Studies, Wiley Blackwell, vol. 41(4), pages 459-75, October.
    12. Fine, B & Fine, K, 1974. "Social Choice and Individual Ranking I," Review of Economic Studies, Wiley Blackwell, vol. 41(3), pages 303-22, July.
    13. Moulin, Herve, 1979. "Dominance Solvable Voting Schemes," Econometrica, Econometric Society, vol. 47(6), pages 1137-51, November.
    14. Muller, Eitan & Satterthwaite, Mark A., 1977. "The equivalence of strong positive association and strategy-proofness," Journal of Economic Theory, Elsevier, vol. 14(2), pages 412-418, April.
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