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Unanimity in attribute-based preference domains

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  • Sidartha Gordon

Abstract

We provide several characterizations of unanimity decision rules, in a public choice model where preferences are constrained by attributes possessed by the alternatives (Nehring and Puppe, Games Econ Behavior 59:132–153, 2007a ; Nehring and Puppe, J Econ Theory 135:269–305, 2007b ). Solidarity conditions require that when some parameters of the economy change, the agents whose parameters are kept fixed either all weakly lose or they all weakly win. Population-monotonicity (Thomson, Math Oper Res 8:319–326, 1983a ; Thomson, J Econ Theory 31:211–226, 1983b ) applies to the arrival and departure of agents, while replacement-domination (Moulin, Q J Econ 102:769–783, 1987 ) applies to changes in preferences. We show that either solidarity property is compatible with voter-sovereignty and strategy-proofness if and only if the attribute space is quasi-median (Nehring, Social aggregation without veto, Mimeo, 2004 ), and with Pareto-efficiency if and only if the attribute space is a tree. Each of these combinations characterizes unanimity. Copyright Springer-Verlag Berlin Heidelberg 2015

Suggested Citation

  • Sidartha Gordon, 2015. "Unanimity in attribute-based preference domains," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 44(1), pages 13-29, January.
    • Handle: RePEc:spr:sochwe:v:44:y:2015:i:1:p:13-29
    DOI: 10.1007/s00355-014-0809-8
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    1. Sidartha Gordon, 2007. "Solidarity in choosing a location on a cycle," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 29(1), pages 125-147, July.
    2. Barbera, Salvador & Masso, Jordi & Neme, Alejandro, 2005. "Voting by committees under constraints," Journal of Economic Theory, Elsevier, vol. 122(2), pages 185-205, June.
    3. Hervé Moulin, 1987. "The Pure Compensation Problem: Egalitarianism Versus Laissez-Fairism," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 102(4), pages 769-783.
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    6. Barnett,William A. & Moulin,Hervé & Salles,Maurice & Schofield,Norman J. (ed.), 1995. "Social Choice, Welfare, and Ethics," Cambridge Books, Cambridge University Press, number 9780521443401, October.
    7. Thomson, William, 1993. "The replacement principle in public good economies with single-peaked preferences," Economics Letters, Elsevier, vol. 42(1), pages 31-36.
    8. Demange, Gabrielle, 1982. "Single-peaked orders on a tree," Mathematical Social Sciences, Elsevier, vol. 3(4), pages 389-396, December.
    9. Barbera, Salvador & Sonnenschein, Hugo & Zhou, Lin, 1991. "Voting by Committees," Econometrica, Econometric Society, vol. 59(3), pages 595-609, May.
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    21. Biung-Ghi Ju, 2005. "Unanimity and Resource Monotonicity," Theory and Decision, Springer, vol. 59(1), pages 1-17, August.
    22. Bettina Klaus, 2001. "Target Rules for Public Choice Economies on Tree Networks and in Euclidean Spaces," Theory and Decision, Springer, vol. 51(1), pages 13-29, August.
    23. Masashi Umezawa, 2012. "The replacement principle for the provision of multiple public goods on tree networks," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 38(2), pages 211-235, February.
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    Citations

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    Cited by:

    1. Bettina Klaus & Panos Protopapas, 2020. "Solidarity for public goods under single-peaked preferences: characterizing target set correspondences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 55(3), pages 405-430, October.
    2. Athanasoglou, Stergios, 2019. "Solidarity and efficiency in preference aggregation: A tale of two rules," Games and Economic Behavior, Elsevier, vol. 118(C), pages 126-140.
    3. Harless, Patrick, 2016. "Solidarity in preference aggregation: Improving on a status quo," Games and Economic Behavior, Elsevier, vol. 95(C), pages 73-87.
    4. Stergios, Athanasoglou, 2017. "Solidarity and efficiency in preference aggregation: a tale of two rules," Working Papers 390, University of Milano-Bicocca, Department of Economics, revised Nov 2018.

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    More about this item

    Keywords

    Solidarity; Population-monotonicity; Replacement-domination; Unanimity; Strategy-proofness; Attribute-based Domains; Generalized Single-Peaked Domains; D63; D71; H41;
    All these keywords.

    JEL classification:

    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • H41 - Public Economics - - Publicly Provided Goods - - - Public Goods

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