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On a Theorem due to Alan D. Taylor about Aggregation of Preferences

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  • Somdeb Lahiri

Abstract

In this paper, we show that there does not exist any triple acyclic preference aggregation rule that satisfies Majority property, weak Pareto criterion and a version of a property due to Alan Taylor. We also show that there are non-dictatorial preference aggregation rules and in particular non-dictatorial social welfare functions which satisfy the weak Pareto criterion and Taylor’s Independence of Irrelevant Alternatives. Further, we are able to obtain analogous results for preference aggregation functionals by suitably adjusting the desired properties to fit into a framework which uses individual utility functions rather than individual preference orderings. Our final result is a modest generalisation of Sen’s version of Arrow’s impossibility theorem which is shown to hold under our mild domain restriction. JEL: D71

Suggested Citation

  • Somdeb Lahiri, 2019. "On a Theorem due to Alan D. Taylor about Aggregation of Preferences," Arthaniti: Journal of Economic Theory and Practice, , vol. 18(1), pages 17-31, June.
    • Handle: RePEc:sae:artjou:v:18:y:2019:i:1:p:17-31
    DOI: 10.1177/0976747918792639
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    References listed on IDEAS

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    1. Satterthwaite, Mark Allen, 1975. "Strategy-proofness and Arrow's conditions: Existence and correspondence theorems for voting procedures and social welfare functions," Journal of Economic Theory, Elsevier, vol. 10(2), pages 187-217, April.
    2. Ariel Rubinstein, 2012. "Lecture Notes in Microeconomic Theory: The Economic Agent Second Edition," Economics Books, Princeton University Press, edition 2, number 9742.
    3. Sen, Amartya K, 1977. "Social Choice Theory: A Re-examination," Econometrica, Econometric Society, vol. 45(1), pages 53-89, January.
    4. Somdeb Lahiri & Prasanta K. Pattanaik, 2017. "A Note on A. D. Taylor’s Property of Independence of Irrelevant Alternatives for Voting Rules," Studies in Microeconomics, , vol. 5(2), pages 99-104, December.
    5. Gibbard, Allan, 1973. "Manipulation of Voting Schemes: A General Result," Econometrica, Econometric Society, vol. 41(4), pages 587-601, July.
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    More about this item

    Keywords

    Preference aggregation rule; triple acyclic; independence of irrelevant alternatives; social welfare function; preference aggregation functional;
    All these keywords.

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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