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A topological approach to the Arrow impossibility theorem when individual preferences are weak orders (forcoming in ``Applied Mathematics and Compuation''(Elsevier))

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Author Info
Yasuhito Tanaka (Doshisha University)

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Abstract

We will present a topological approach to the Arrow impossibility theorem of social choice theory that there exists no binary social choice rule (which we will call a social welfare function) which satisfies the conditions of transitivity, independence of irrelevant alternatives (IIA), Pareto principle and non-existence of dictator.

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Paper provided by EconWPA in its series Public Economics with number 0506013.

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Date of creation: 16 Jun 2005
Date of revision: 16 Jun 2005
Handle: RePEc:wpa:wuwppe:0506013

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Find related papers by JEL classification:
D6 - Microeconomics - - Welfare Economics
D7 - Microeconomics - - Analysis of Collective Decision-Making
H - Public Economics

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References listed on IDEAS
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  1. Gleb Koshevoy, 1997. "Homotopy properties of Pareto aggregation rules," Social Choice and Welfare, Springer, vol. 14(2), pages 295-302. [Downloadable!] (restricted)
  2. Wilson, Robert, 1972. "Social choice theory without the Pareto Principle," Journal of Economic Theory, Elsevier, vol. 5(3), pages 478-486, December. [Downloadable!] (restricted)
  3. Lauwers, Luc, 2000. "Topological social choice," Mathematical Social Sciences, Elsevier, vol. 40(1), pages 1-39, July. [Downloadable!] (restricted)
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  4. Gibbard, Allan, 1973. "Manipulation of Voting Schemes: A General Result," Econometrica, Econometric Society, vol. 41(4), pages 587-601, July. [Downloadable!] (restricted)
  5. Chichilnisky, Graciela, 1982. "The topological equivalence of the pareto condition and the existence of a dictator," Journal of Mathematical Economics, Elsevier, vol. 9(3), pages 223-233, March. [Downloadable!] (restricted)
  6. Chichilnisky, Graciela, 1979. "On fixed point theorems and social choice paradoxes," Economics Letters, Elsevier, vol. 3(4), pages 347-351. [Downloadable!] (restricted)
  7. Luc Lauwers, 2004. "Topological manipulators form an ultrafilter," Social Choice and Welfare, Springer, vol. 22(3), pages 437-445, 06. [Downloadable!] (restricted)
  8. Weinberger, Shmuel, 2004. "On the topological social choice model," Journal of Economic Theory, Elsevier, vol. 115(2), pages 377-384, April. [Downloadable!] (restricted)
  9. Paras Mehta, 1997. "Topological methods in social choice: an overview," Social Choice and Welfare, Springer, vol. 14(2), pages 233-243. [Downloadable!] (restricted)
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