An Outline of the Mathematical Theory of Democracy and Its Applications

Group Decision and Negotiation

Volumn 6, Issue 3, 1997, Pages 205-230

  Tanguiane, Andranick S ^a  

^a UNIVERSITY OF HAGEN   (Germany)

Author keywords

Arrow's paradox; Cabinets; Councils; Gallup polls; Mathematical theory of democracy; Multicriteria decision making; Representatives; Social choice

Indexed keywords

EID: 0031509120     PISSN: 09262644     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008651211402     Document Type: Article

References (10)

1. Armstrong, T. E. (1980). "Arrow's Theorem with Restricted Coalition Algebras," J. Math. Econ. 7, 55-75.
2. Armstrong, T. E. (1985). "Precisely Dictatorial Social Welfare Functions. Erratum and Addendum to 'Arrow's Theorem with Restricted Coalition Algebras'," J. Math. Econ. 14, 57-59.
3. Arrow, K. J. (1951). Social Choice and Individual Values. New York: Wiley.
4. Fishburn, P. C. (1970). "Arrow's Impossibility Theorem: Concise Proof and Infinite Voters," J. Econ. Theory 2, 103-106.
5. Kirman, A., and D. Sondermann. (1972). "Arrow's Theorem, Many Agents, and Invisible Dictators," J. Econ. Theory 5, 267-277.
6. Schmitz, N. (1977). "A Further Note on Arrow' Impossibility Theorem," J. Math. Econ. 4, 189-196.
7. Tanguiane, A. S. (1991). Aggregation and Representation of Preferences. Introduction to Mathematical Theory of Democracy. Berlin: Springer-Verlag.
8. Tanguiane, A. S. (1977). "Election of Vice-President and Adding New Members to Representative Bodies," Social Choice and Welfare 14, 23-45.
9. Tanguiane, A. S. (1993). "Inefficiency of Democratic Decision Making in an Unstable Society," Social Choice and Welfare 10, 249-300.
10. Tanguiane, A. S. (1994). "Arrow's Paradox and Mathematical Theory of Democracy," Social Choice and Welfare 11, 1-82.