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The Borda count in n-dimensional issue space


  • Scott Feld
  • Bernard Grofman


We provide a natural extension of the Borda count to the n-dimensional spatial context, an algorithm to find the spatial Borda winner based on the notion of an inverse Borda count, the result that the Borda winner and the Condorcet winner coincide in unidimensional space when all alternatives on a line are feasible, results that show that in multi-dimensional space the Borda winner and the Condorcet winner (except under very implausible circumstances) will be distinct, and some results on the manipulability of outcomes under the Borda rule as a function of the domain of alternatives over which the Borda count is to be defined. Copyright Kluwer Academic Publishers 1988

Suggested Citation

  • Scott Feld & Bernard Grofman, 1988. "The Borda count in n-dimensional issue space," Public Choice, Springer, vol. 59(2), pages 167-176, November.
  • Handle: RePEc:kap:pubcho:v:59:y:1988:i:2:p:167-176
    DOI: 10.1007/BF00054452

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    References listed on IDEAS

    1. repec:cup:apsrev:v:81:y:1987:i:02:p:539-553_19 is not listed on IDEAS
    2. Farkas, Daniel & Nitzan, Shmuel, 1979. "The Borda Rule and Pareto Stability: A Comment," Econometrica, Econometric Society, vol. 47(5), pages 1305-1306, September.
    3. repec:cup:apsrev:v:80:y:1986:i:03:p:863-879_18 is not listed on IDEAS
    4. Norman Schofield, 1978. "Instability of Simple Dynamic Games," Review of Economic Studies, Oxford University Press, vol. 45(3), pages 575-594.
    5. repec:cup:apsrev:v:68:y:1974:i:02:p:537-546_11 is not listed on IDEAS
    6. repec:cup:apsrev:v:72:y:1978:i:04:p:1341-1356_15 is not listed on IDEAS
    7. McKelvey, Richard D, 1979. "General Conditions for Global Intransitivities in Formal Voting Models," Econometrica, Econometric Society, vol. 47(5), pages 1085-1112, September.
    8. Scott Feld & Bernard Grofman, 1986. "Research note Partial single-peakedness: An extension and clarification," Public Choice, Springer, vol. 51(1), pages 71-80, January.
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    Cited by:

    1. Kazuo Yamaguchi, 2016. "Borda winner in facility location problems on sphere," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 46(4), pages 893-898, April.
    2. Toyotaka Sakai, 2015. "A Search for the General Will in a Spatial Model," The Japanese Economic Review, Japanese Economic Association, vol. 66(2), pages 260-270, June.

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