Topological and discrete social choice: In a search of a theory

Social Choice and Welfare

Volumn 14, Issue 2, 1997, Pages 199-209

  Baryshnikov, Yuliy M ^a  

^a UNIVERSITY OF OSNABRÜCK   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 19444380282     PISSN: 01761714     EISSN: None     Source Type: Journal    
DOI: 10.1007/s003550050060     Document Type: Article

References (12)

1. Arrow K J (1950) A difficulty in the concept ol social welfare. J Polit Econ 58: 328-346
2. Baryshnikov Y (1994) Unifying Impossibility Theorems: A Topological Approach. Adv Appl Math 14: 404-415
3. Chichilnisky G (1980) Social choice and the topology of spaces of preferences. Adv Math 37: 165-176
4. Chichilnisky G (1982) The topological equivalence of the Pareto condition and the existence of a dictator. J Math Econ 9: 223-233
5. Chichilnisky G, Hela G M (1983) Necessary and sufficient conditions for a resolution of the social choice paradox. J Econ Theory 31: 68-87
6. Chichilnisky G (1993) Intersecting Familied of Sets and the Topology of Cones in Economics. Bulletin AMS, 29: 2-31
7. Chichilnisky G (1994) Social diversity, arbitrage and gains from trade: a unified perspective on resource allocation. Am Econ Rev Papers and Proceedings
8. Chichilnisky G (1995) A unified perspective on resource allocation: limited arbitrage is necessary and sufficient for existence of an equilibrium, the core and social choice. In: Arrow KJ, Sen AK, Suzumura K (eds) Social Chocie Reexamined. McMillan
9. Debreu G (1971) Smooth preference. Econometrica 40: 603-617
10. Dierker E (1982) Regular economies. In: Handbook of mathematical economics (Vol II) 1: 795-830, North Holland
11. Fishburn P (1973) The Theory of Social Choice. Princeton University Press
12. Saari D (1991) Calculus and extensions of Arrow's theorem. J Math Econ 20: 271-306