Mathematical structure of voting paradoxes

作者: Donald G. Saari

DOI: 10.1007/S001990050001

关键词:

摘要: A theory is developed to identify, characterize, and explain all possible positional pairwise voting outcomes that can occur for any number of alternatives profile. This paper describes where new results include explanations paradoxes, cycles, conflict between Borda Condorcet rankings, differences among procedures using votes (such as the Count, Kemeny's method, Arrow-Raynaud rule), discrepancies societal rankings candidates are dropped or added. Other relationships “winners” “losers.” The also shows how construct supporting profiles. following companion does same methods.

参考文章(26)
Donald G. Saari, Geometry of voting ,(1994)
Kenneth Arrow, Herve Raynaud, Social Choice and Multicriterion Decision-Making Research Papers in Economics. ,vol. 1, ,(1986)
Amos Tversky, Paul Slovic, Daniel Kahneman, The Causes of Preference Reversal The Construction of Preference. ,vol. 80, pp. 146- 162 ,(1990) , 10.1017/CBO9780511618031.009
Donald G. Saari, Basic geometry of voting ,(1995)
Peter C. Fishburn, Inverted orders for monotone scoring rules Discrete Applied Mathematics. ,vol. 3, pp. 27- 36 ,(1981) , 10.1016/0166-218X(81)90025-1
Donald G. Saari, Explaining All Three-Alternative Voting Outcomes Journal of Economic Theory. ,vol. 87, pp. 313- 355 ,(1999) , 10.1006/JETH.1999.2541
Vincent R. Merlin, Donald G. Saari, Copeland Method II: Manipulation, Monotonicity, and Paradoxes Journal of Economic Theory. ,vol. 72, pp. 148- 172 ,(1997) , 10.1006/JETH.1996.2205
Richard D. McKelvey, General Conditions for Global Intransitivities in Formal Voting Models Econometrica. ,vol. 47, pp. 1085- 1112 ,(1979) , 10.2307/1911951