Borda efficiency of constant scoring rules with large electorates

William V. Gehrlein

RAIRO - Operations Research - Recherche Opérationnelle (1981)

  • Volume: 15, Issue: 3, page 287-296
  • ISSN: 0399-0559

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Gehrlein, William V.. "Borda efficiency of constant scoring rules with large electorates." RAIRO - Operations Research - Recherche Opérationnelle 15.3 (1981): 287-296. <http://eudml.org/doc/104792>.

@article{Gehrlein1981,
author = {Gehrlein, William V.},
journal = {RAIRO - Operations Research - Recherche Opérationnelle},
keywords = {borda efficiency; constant scoring rules; large electorates; condition of impartial culture; borda rule},
language = {eng},
number = {3},
pages = {287-296},
publisher = {EDP-Sciences},
title = {Borda efficiency of constant scoring rules with large electorates},
url = {http://eudml.org/doc/104792},
volume = {15},
year = {1981},
}

TY - JOUR
AU - Gehrlein, William V.
TI - Borda efficiency of constant scoring rules with large electorates
JO - RAIRO - Operations Research - Recherche Opérationnelle
PY - 1981
PB - EDP-Sciences
VL - 15
IS - 3
SP - 287
EP - 296
LA - eng
KW - borda efficiency; constant scoring rules; large electorates; condition of impartial culture; borda rule
UR - http://eudml.org/doc/104792
ER -

References

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  1. 1. K. J. ARROW, Social Choice and Individual Values, 2nd ed., New York, Wiley, 1973. Zbl0984.91513
  2. 2. D. BLACK, The Theory of Committees and Elections, Cambridge, England, Cambridge University Press, 1958. Zbl0091.15706
  3. 3. J.-Ch. de BORDA, Mémoire sur les élections au scrutin, Histoire de l'Académie Royale des Sciences, 1781. 
  4. 4. J. R. CHAMBERLIN and M. D. COHEN, Towards Applicable Social Choice Theory: A Comparison of Social Choice Functions Under Spatial Model Assumptions, The American Political Science Review, Vol. 72, 1978, pp. 1341-1356. 
  5. 5. Marquis de CONDORCET, Essai sur l'application de l'analyse à la probabilité des décisions rendues à la pluralité des voix, Paris, 1785. 
  6. 6. P. C. FISHBUR, The Theory of Social Choice, , Princeton, New Jersey, Princeto University Press, 1973. Zbl0253.92006MR386742
  7. 7. P. C. FISHBURN, Simple Voting Systems and Majority Rule, Behavioral ScienceVol. 19, 1974, pp, 166-176 
  8. 8. P. C FISHBUR, Aspects of One-Stage Voting Rules, Management Science, Vol. 21 1974, pp. 422-427 
  9. 9. P. C FISHBURN and W. V. GEHRLEIN, An Analysis of Simple Two-Stage VotinSystems, Behavioral Science, Vol. 21, 1976, pp. 1-12. 
  10. 10. P. C. FISHBURN and W. V. GEHRLEIN, An Analysis of Voting Procedures with NonRanked Voting, Behavioral Science, Vol. 22, 1977, pp. 178-185 
  11. 11. P. C. FISHBURN and W. V. GEHRLEIN, Borda's Rule, Positional Voting, and Condorcet's Simple Majority Principle, Public Choice, Vol. 28, 1976, pp, 79-88. MR433537
  12. 12. W. V. GEHRLEIN, The Examination of a Voter Paradox With Linear Programming, Proceedings of the American Institute of Decision Sciences Meeting, 1976. 
  13. 13. W. V. GEHRLEIN, Condorcet Efficiency and Constant Scoring Rules, Mathematical Social Sciences, forthcominy. Zbl0479.90015
  14. 14. W. V. GEHRLEIN, Single Stage Election Procedures For Large Electorales, Journal of Mathematical Economics, forthcoming. Zbl0461.90005MR631008
  15. 15. W. V. GEHRLEIN and P. C. FISHBURN, Coincidence Probabilities for Simple Majorityand Positional Voting Rules, Social Science Research, Vol. 7, 1978, pp. 272-283. 
  16. 16. W. V. GEHRLEIN and P. C. FISHBURN, Probababilities of Election Outcomes for LargeElectorates, Journal of Economic Theory, Vol. 19, 1978, pp. 38-49 Zbl0399.90007
  17. 17. W. V. GEHRLEIN and P. C. FISHBURN, Constant Scoring Rules for Selecting One Among Many Alternative, Quality and Quantity, Vol. 15, 1981, pp. 203-210. 
  18. 18. G. H. KRAMER, On a Class of Equilibrium Functions for Majority Rules, Econometrica, Vol. 41, 1973, pp. 285-297. Zbl0262.90005MR327327
  19. 19. D. C. PARIS, Plurality Distortion and Majority Rule, Behavioral Science, Vol. 20, 1975, pp. 125-133. 
  20. 20. C. R. PLOTT, A Notion of Equilibrium and its Possibility Under Majority Rule, American Economic Review, Vol. 57, 1967, pp. 787-806. 
  21. 21. M. SATTERTHWAITE, Coalition Constructing Voting Procedures, Mimeograph presented at Public Choice Society Meeting, Pittsburgh, Pennsylvania, 1972. 
  22. 22. S. M. SELBY, Standard Mathematical Tables, 14th ed., Cleveland, Ohio, Chemical Rubber Company, 1965. Zbl0086.33303
  23. 23. A. K. SEN, Collective Choice and Social Welfare, San Francisco, California, Holden-Day, 1970. Zbl0227.90011
  24. 24. D. SLEPIAN, The One Sided Barrier Problem for Gaussian Noise, Bell Systems Technical Journal, Vol. 41, 1962, pp. 463-501. MR133183
  25. 25. J. H. SMITH, Aggregation of Preferences with Variable Electorale, Econometrica, Vol. 41, 1973, pp. 1027-1041. Zbl0286.90008MR441227
  26. 26. S. S. WILKS, Mathematical Statistics, Wiley, New York, 1962. Zbl0173.45805MR144404
  27. 27. H. P. YOUNG, An Axiomatization of Borda's Rule, Journal of Economic Theory, Vol. 9, 1974, pp. 43-52. MR496492

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