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Topological methods in social choice: an overview

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Topological Social Choice
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Abstract

This paper gives an exposition of the topological framework for social choice theory developed by Chichilnisky, and reviews the mathematical concepts needed for understanding this framework. Within that context, this paper also discusses some classic results of Chichilnisky.

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References

  1. Chichilnisky G (1979) On fixed point theorems and social choice paradoxes. Econ Lett 3: 347–351

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  2. Chichilnisky G (1980) Social choice and the topology of the spacse of preferences. Adv Math 37: 165–176

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  3. Chichilnisky G (1982) Structural instability of decisive majority rules. J Math Econ 9: 207–221

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  4. Chichilnisky G (1983) Social choice and game theory: recent results with a topological approach. In: Pattanaik PK Salles M (eds) Social Choice and Welfare. North-Holland, Amsterdam

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  5. Chichilnisky G, Heal G (1983) Necessary and sufficient conditions for a resolution of the social choice paradox. J Econ Theory 31: 68–87

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  6. Heal G (1983) Contractibility and public decision-making. In: Pattanaik PK Salles M (eds) Social Choice and Welfare. North-Holland, Amsterdam

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© 1997 Springer-Verlag Berlin · Heidelberg

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Mehta, P. (1997). Topological methods in social choice: an overview. In: Heal, G.M. (eds) Topological Social Choice. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-60891-9_5

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  • DOI: https://doi.org/10.1007/978-3-642-60891-9_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-64599-0

  • Online ISBN: 978-3-642-60891-9

  • eBook Packages: Springer Book Archive

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