Robustness of positional scoring over subsets of alternatives. (English) Zbl 0417.90017
Keywords:
robustness; positional scoring; ranking; profiles; agreement ratio; positional score vectorsReferences:
| [1] | K. J. Arrow, Rational Choice Functions and Orderings,Economica 26, 121-127 (1959). · doi:10.2307/2550390 |
| [2] | K. J. Arrow,Social Choice and Individual Values. Wiley, New York. 1963. |
| [3] | H. Chernoff, Rational Selection of Decision Functions,Econometrica 22, 422-443 (1954). · Zbl 0059.12602 · doi:10.2307/1907435 |
| [4] | A. H. Copeland, A ?Reasonable? Social Welfare Function, mimeographed,University of Michigan Seminar on Applications of Mathematics to the Social Sciences, 1951. |
| [5] | F. N. David and C. L. Mallows, The Variance of Spearman’s rho in Normal Samples,Biometrika 48, 19-28 (1961). · Zbl 0133.12003 |
| [6] | R. W. Davidson and R. E. Odeh, Some Inconsistencies in Judging Problems,Journal of Combinatorial Theory (A) 13, 162-169 (1972). · Zbl 0242.62014 · doi:10.1016/0097-3165(72)90022-2 |
| [7] | P. C. Fishburn, A Comparative Analysis of Group Decision Methods,Behavioral Science 16, 538-544 (1971). · doi:10.1002/bs.3830160604 |
| [8] | P. C. Fishburn, Simple Voting Systems and Majority Rule,Behavioral Science, 19, 166-176 (1974). · doi:10.1002/bs.3830190303 |
| [9] | P. C. Fishburn, Paradoxes of Voting,American Political Science Review 68, 537-546 (1974). · doi:10.2307/1959503 |
| [10] | P. C. Fishburn, On the Sum-of-Ranks Winner when Losers are Removed,Discrete Mathematics 8, 25-30 (1974). · Zbl 0279.90002 · doi:10.1016/0012-365X(74)90106-X |
| [11] | P. C. Fishburn and W. V. Gehrlein, Borda’s Rule, Positional Voting, and Condorcet’s Simple Majority Principle,Public Choice 28, 79-88 (1976). · doi:10.1007/BF01718459 |
| [12] | P. C. Fishburn and W. V. Gehrlein, An Analysis of Voting Procedures with Nonranked Voting,Behavioral Science 22, 178-185 (1977). · doi:10.1002/bs.3830220304 |
| [13] | W. V. Gehrlein, A Representation for Quadrivariate Normal Positive Orthant Probabilities,Communications in Statistics-Simulation and Computation B8, 349-358 (1979). · Zbl 0411.62030 · doi:10.1080/03610917908812124 |
| [14] | W. V. Gehrlein and P. C. Fishburn, Coincidence Probabilities for Simple Majority and Positional Voting Rules,Social Science Research 7, 272-283 (1978). · doi:10.1016/0049-089X(78)90014-5 |
| [15] | B. Hansson and H. Sahlquist, A Proof Technique for Social Choice with Variable Electorate,Journal of Economic Theory 13, 193-200 (1976). · Zbl 0336.90076 · doi:10.1016/0022-0531(76)90014-4 |
| [16] | M. G. Kendall and A. Stuart,The Advanced Theory of Statistics, Griffin, London. 1963. · Zbl 0416.62001 |
| [17] | J. Milnor, Games Against Nature, inDecision Processes, ed. by R. M. Thrall, C. H. Coombs, and R. L. Davis. Wiley, New York. 1954. · Zbl 0058.13702 |
| [18] | J. F. Nash, The Bargaining Problem,Econometrica 18, 155-162 (1950). · Zbl 1202.91122 · doi:10.2307/1907266 |
| [19] | D. J. Packard and R. A. Heiner, Ranking Functions and Independence Conditions,Journal of Economic Theory 16, 84-102 (1977). · Zbl 0375.90002 · doi:10.1016/0022-0531(77)90124-7 |
| [20] | P. Ray, Independence of Irrelevant Alternatives,Econometrica 41, 987-991 (1973). · Zbl 0286.92007 · doi:10.2307/1913820 |
| [21] | A. Sen, Social Choice Theory: A Re-examination,Econometrica 45, 53-89 (1977). · Zbl 0353.90001 · doi:10.2307/1913287 |
| [22] | J. H. Smith, Aggregation of Preferences with Variable Electorate,Econometrica 41, 1027-1041 (1973). · Zbl 0286.90008 · doi:10.2307/1914033 |
| [23] | H. Uzawa, Note on Preference and Axioms of Choice,Annals of the Institute of Statistical Mathematics 8, 35-40 (1956). · Zbl 0072.37403 · doi:10.1007/BF02863564 |
| [24] | H. P. Young, An Axiomatization of Borda’s Rule,Journal of Economic Theory 9, 43-52 (1974). · doi:10.1016/0022-0531(74)90073-8 |
| [25] | H. P. Young, A Note on Preference Aggregation,Econometrica 42, 1129-1131 (1974). · Zbl 0297.90003 · doi:10.2307/1914222 |
| [26] | H. P. Young, Social Choice Scoring Functions,SIAM Journal on Applied Mathematics 28, 824-838 (1975). · doi:10.1137/0128067 |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
