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Priorities in the Location of Multiple Public Facilities

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  • Olivier Bochet
  • Sidartha Gordon

Abstract

A collective decision problem is described by a set of agents, a profile of single-peaked preferences over the real line and a number k of public facilities to be located. We consider public facilities that do not suffer from congestion and are non-excludable. We provide a characterization of the class of rules satisfying Pareto-efficiency, object-population monotonicity and sovereignty. Each rule in the class is a priority rule that selects locations according to a predetermined priority ordering among "interest groups". We characterize each of the subclasses of priority rules that respectively satisfy anonymity, hiding-proofness and strategy-proofness. In particular, we prove that a priority rule is strategy-proof if and only if it partitions the set of agents into a fixed hierarchy. Alternatively, any such rule can be viewed as a collection of fixed-populations generalized peak-selection median rules (Moulin, 1980), that are linked across populations, in a way that we describe.

Suggested Citation

  • Olivier Bochet & Sidartha Gordon, 2008. "Priorities in the Location of Multiple Public Facilities," Diskussionsschriften dp0902, Universitaet Bern, Departement Volkswirtschaft.
    • Handle: RePEc:ube:dpvwib:dp0902
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    References listed on IDEAS

    as
    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. Bochet, Olivier & Gordon, Sidartha, 2012. "Priorities in the location of multiple public facilities," Games and Economic Behavior, Elsevier, vol. 74(1), pages 52-67.
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    7. Ju, Biung-Ghi, 2008. "Efficiency and consistency for locating multiple public facilities," Journal of Economic Theory, Elsevier, vol. 138(1), pages 165-183, January.
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    17. 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.
    18. 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.
    19. H. Moulin, 1980. "On strategy-proofness and single peakedness," Public Choice, Springer, vol. 35(4), pages 437-455, January.
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    22. Anna Bogomolnaia & Antonio Nicolò, 2005. "Stable Assignment of Public Facilities under Congestion," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 7(1), pages 65-91, February.
    23. 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).
    24. Bochet, Olivier & Gordon, Sidartha & Saran, Rene, 2013. "Weighted majoritarian rules for the location of multiple public facilities," Journal of Mathematical Economics, Elsevier, vol. 49(6), pages 454-459.
    25. David Cantala, 2004. "Choosing the level of a public good when agents have an outside option," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 22(3), pages 491-514, June.
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    Citations

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    Cited by:

    1. 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.
    2. Gogulapati Sreedurga & Soumyarup Sadhukhan & Souvik Roy & Yadati Narahari, 2022. "Characterization of Group-Fair Social Choice Rules under Single-Peaked Preferences," Papers 2207.07984, arXiv.org.
    3. Chatterji, Shurojit & Zeng, Huaxia, 2019. "Random mechanism design on multidimensional domains," Journal of Economic Theory, Elsevier, vol. 182(C), pages 25-105.
    4. Ingalagavi, Chinmay & Sadhukhan, Soumyarup, 2023. "On a class of strategy-proof social choice correspondences with single-peaked utility functions," Journal of Mathematical Economics, Elsevier, vol. 109(C).
    5. Olivier Bochet & Sidartha Gordon & René Saran, 2013. "Weighted Majoritarian Rules for the Location of Multiple Public Facilities," SciencePo Working papers Main hal-03460749, HAL.
    6. Bochet, Olivier & Gordon, Sidartha, 2012. "Priorities in the location of multiple public facilities," Games and Economic Behavior, Elsevier, vol. 74(1), pages 52-67.
    7. Olivier Bochet & Sidartha Gordon & René Saran, 2013. "Weighted Majoritarian Rules for the Location of Multiple Public Facilities," Working Papers hal-03460749, HAL.
    8. repec:hal:spmain:info:hdl:2441/6ggbvnr6munghes9oc5kng5b4 is not listed on IDEAS
    9. 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.
    10. repec:spo:wpmain:info:hdl:2441/6ggbvnr6munghes9oc5kng5b4 is not listed on IDEAS
    11. repec:spo:wpecon:info:hdl:2441/6ggbvnr6munghes9oc5kng5b4 is not listed on IDEAS
    12. Chatterji, Shurojit & Roy, Souvik & Sadhukhan, Soumyarup & Sen, Arunava & Zeng, Huaxia, 2022. "Probabilistic fixed ballot rules and hybrid domains," Journal of Mathematical Economics, Elsevier, vol. 100(C).
    13. repec:hal:wpspec:info:hdl:2441/6ggbvnr6munghes9oc5kng5b4 is not listed on IDEAS
    14. Bochet, Olivier & Gordon, Sidartha & Saran, Rene, 2013. "Weighted majoritarian rules for the location of multiple public facilities," Journal of Mathematical Economics, Elsevier, vol. 49(6), pages 454-459.
    15. Eun Heo, 2013. "Strategy-proof rules for two public goods: double median rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(4), pages 895-922, October.

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    More about this item

    Keywords

    Multiple public facilities; Priority rules; Hierarchical rules; Object-population monotonicity; Sovereignty; Anonymity; Strategy-proofness; Generalized median rules; Hiding-proofness;
    All these keywords.

    JEL classification:

    • D60 - Microeconomics - - Welfare Economics - - - General
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • H41 - Public Economics - - Publicly Provided Goods - - - Public Goods

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