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Solidarity with respect to small changes in preferences in public good economies with single-peaked preferences

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  • Harless, Patrick

Abstract

We study the problem of choosing a point on an interval when agents have single-peaked preferences. Our primary concern is solidarity: When the environment changes, agents should gain or lose together. “Welfare dominance under preference replacement” requires this conclusion when the preferences of one agent change. Instead of requiring solidarity for all possible changes in preferences, we introduce a parameterized solidarity property, “ϵ-welfare dominance”, which requires the conclusion of welfare dominance only for arbitrarily small changes in preferences. In this model, welfare dominance and efficiency characterize a class of “target” rules, each of which selects the efficient point nearest to its target (Thomson, 1993). Although our property is weaker than and distinct from welfare dominance, it also characterizes the target rules when combined with efficiency.

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  • Harless, Patrick, 2015. "Solidarity with respect to small changes in preferences in public good economies with single-peaked preferences," Mathematical Social Sciences, Elsevier, vol. 75(C), pages 81-86.
  • Handle: RePEc:eee:matsoc:v:75:y:2015:i:c:p:81-86
    DOI: 10.1016/j.mathsocsci.2015.02.006
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    References listed on IDEAS

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    1. Sato, Shin, 2013. "A sufficient condition for the equivalence of strategy-proofness and nonmanipulability by preferences adjacent to the sincere one," Journal of Economic Theory, Elsevier, vol. 148(1), pages 259-278.
    2. 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.
    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.
    4. Gordon, Sidartha, 2007. "Public decisions: Solidarity and the status quo," Games and Economic Behavior, Elsevier, vol. 61(2), pages 225-241, November.
    5. Piacquadio, Paolo G., 2014. "Intergenerational egalitarianism," Journal of Economic Theory, Elsevier, vol. 153(C), pages 117-127.
    6. Cho, Wonki Jo, 2014. "Impossibility results for parametrized notions of efficiency and strategy-proofness in exchange economies," Games and Economic Behavior, Elsevier, vol. 86(C), pages 26-39.
    7. 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.
    8. William Thomson, 1999. "Welfare-domination under preference-replacement: A survey and open questions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 16(3), pages 373-394.
    9. Gabriel Carroll, 2012. "When Are Local Incentive Constraints Sufficient?," Econometrica, Econometric Society, vol. 80(2), pages 661-686, March.
    10. Thomson, William, 1993. "The replacement principle in public good economies with single-peaked preferences," Economics Letters, Elsevier, vol. 42(1), pages 31-36.
    11. Moulin, Herve & Thomson, William, 1988. "Can everyone benefit from growth? : Two difficulties," Journal of Mathematical Economics, Elsevier, vol. 17(4), pages 339-345, September.
    12. 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.
    13. Kenneth J. Arrow, 1950. "A Difficulty in the Concept of Social Welfare," Journal of Political Economy, University of Chicago Press, vol. 58(4), pages 328-328.
    14. Ching, S. & Thomson, W., 1993. "Population-Monotonic Solutions in Public Good Economies with Single- Peaked Preferences," RCER Working Papers 362, University of Rochester - Center for Economic Research (RCER).
    15. Gibbard, Allan, 1973. "Manipulation of Voting Schemes: A General Result," Econometrica, Econometric Society, vol. 41(4), pages 587-601, July.
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    Cited by:

    1. Lars Ehlers, 2022. "Three public goods and lexicographic preferences: replacement principle," Review of Economic Design, Springer;Society for Economic Design, vol. 26(3), pages 367-384, September.
    2. 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.
    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. Bettina Klaus & Panos Protopapas, 2016. "Solidarity Properties of Choice Correspondences," Cahiers de Recherches Economiques du Département d'économie 16.14, Université de Lausanne, Faculté des HEC, Département d’économie.

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