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Solidarity in Choosing a Location on a Cycle

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  • GORDON, Sidartha

Abstract

We study the implications of two solidarity conditions on the efficient location of a public good on a cycle, when agents have single-peaked, symmetric preferences. Both conditions require that when circumstances change, the agents not responsible for the change should all be affected in the same direction: either they all gain or they all loose. The first condition, population-monotonicity, applies to arrival or departure of one agent. The second, replacement-domination, applies to changes in the preferences of one agent. Unfortunately, no Pareto-efficient solution satisfies any of these properties. However, if agents’ preferred points are restricted to the vertices of a small regular polygon inscribed in the circle, solutions exist. We characterize them as a class of efficient priority rules.

Suggested Citation

  • GORDON, Sidartha, 2006. "Solidarity in Choosing a Location on a Cycle," Cahiers de recherche 2006-06, Universite de Montreal, Departement de sciences economiques.
  • Handle: RePEc:mtl:montde:2006-06
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    File URL: http://hdl.handle.net/1866/557
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    References listed on IDEAS

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    1. Vohra, Rakesh V., 1999. "The replacement principle and tree structured preferences," Economics Letters, Elsevier, vol. 63(2), pages 175-180, May.
    2. Hervé Moulin, 1987. "The Pure Compensation Problem: Egalitarianism Versus Laissez-Fairism," The Quarterly Journal of Economics, Oxford University Press, vol. 102(4), pages 769-783.
    3. 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.
    4. Ehlers, Lars & Klaus, Bettina, 2001. " Solidarity and Probabilistic Target Rules," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 3(2), pages 167-184.
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    6. Gordon, Sidartha, 2007. "Public decisions: Solidarity and the status quo," Games and Economic Behavior, Elsevier, vol. 61(2), pages 225-241, November.
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    14. Moulin, Herve, 1994. "Social choice," Handbook of Game Theory with Economic Applications,in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 2, chapter 31, pages 1091-1125 Elsevier.
    15. H. Moulin, 1980. "On strategy-proofness and single peakedness," Public Choice, Springer, vol. 35(4), pages 437-455, January.
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    Citations

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    Cited by:

    1. Bochet, Olivier & Gordon, Sidartha, 2012. "Priorities in the location of multiple public facilities," Games and Economic Behavior, Elsevier, vol. 74(1), pages 52-67.
    2. 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.
    3. Thomson, William, 2011. "Chapter Twenty-One - Fair Allocation Rules," Handbook of Social Choice and Welfare,in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 2, chapter 21, pages 393-506 Elsevier.
    4. 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.
    5. Bettina Klaus & Panos Protopapas, 2017. "Solidarity for public goods under single-peaked preferences: Characterizing target set correspondences," Cahiers de Recherches Economiques du Département d'Econométrie et d'Economie politique (DEEP) 17.13, Université de Lausanne, Faculté des HEC, DEEP.
    6. 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.
    7. Gordon, Sidartha, 2007. "Public decisions: Solidarity and the status quo," Games and Economic Behavior, Elsevier, vol. 61(2), pages 225-241, November.
    8. Harless, Patrick, 2016. "Solidarity in preference aggregation: Improving on a status quo," Games and Economic Behavior, Elsevier, vol. 95(C), pages 73-87.
    9. Bettina Klaus & Panos Protopapas, 2016. "Solidarity Properties of Choice Correspondences," Cahiers de Recherches Economiques du Département d'Econométrie et d'Economie politique (DEEP) 16.14, Université de Lausanne, Faculté des HEC, DEEP.

    More about this item

    Keywords

    Location Theory ; Cycle ; Efficiency; Polation-monotonicity; Reacement-Domination; Single-Peaked;

    JEL classification:

    • C79 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Other
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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