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Efficiency and Consistency for Locating Multiple Public Facilities

Author

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  • Biung-Ghi Ju

    (Department of Economics, Korea University)

Abstract

In the problem of locating multiple public facilities studied by Barbera and Bevia [2, 3], we offer simple necessary and sufficient conditions for efficiency, decentralizability of efficient decisions in a game of community division and local public goods provision, and a constructive algorithm for efficient and consistent decisions.

Suggested Citation

  • Biung-Ghi Ju, 2007. "Efficiency and Consistency for Locating Multiple Public Facilities," Discussion Paper Series 0716, Institute of Economic Research, Korea University.
    • Handle: RePEc:iek:wpaper:0716
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    File URL: http://econ.korea.ac.kr/~ri/WorkingPapers/w0716.pdf
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    References listed on IDEAS

    as
    1. Ehlers, Lars, 2003. "Multiple public goods, lexicographic preferences, and single-plateaued preference rules," Games and Economic Behavior, Elsevier, vol. 43(1), pages 1-27, April.
    2. Konishi, Hideo & Le Breton, Michel & Weber, Shlomo, 1999. "On Coalition-Proof Nash Equilibria in Common Agency Games," Journal of Economic Theory, Elsevier, vol. 85(1), pages 122-139, March.
    3. Barbera, Salvador & Bevia, Carmen, 2006. "Locating public facilities by majority: Stability, consistency and group formation," Games and Economic Behavior, Elsevier, vol. 56(1), pages 185-200, July.
    4. Barbera, Salvador & Bevia, Carmen, 2002. "Self-Selection Consistent Functions," Journal of Economic Theory, Elsevier, vol. 105(2), pages 263-277, August.
    5. Ehlers, Lars, 2002. "Multiple public goods and lexicographic preferences: replacement principle," Journal of Mathematical Economics, Elsevier, vol. 37(1), pages 1-15, February.
    6. Konishi, Hideo & Le Breton, Michel & Weber, Shlomo, 1998. "Equilibrium in a Finite Local Public Goods Economy," Journal of Economic Theory, Elsevier, vol. 79(2), pages 224-244, April.
    7. Konishi, Hideo & Le Breton, Michel & Weber, Shlomo, 1997. "Equilibria in a Model with Partial Rivalry," Journal of Economic Theory, Elsevier, vol. 72(1), pages 225-237, January.
    8. Moulin, Herve & Shenker, Scott, 1992. "Serial Cost Sharing," Econometrica, Econometric Society, vol. 60(5), pages 1009-1037, September.
    9. Konishi, Hideo & Le Breton, Michel & Weber, Shlomo, 1997. "Pure Strategy Nash Equilibrium in a Group Formation Game with Positive Externalities," Games and Economic Behavior, Elsevier, vol. 21(1-2), pages 161-182, October.
    10. Hervé Moulin, 1994. "Serial Cost-Sharing of Excludable Public Goods," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 61(2), pages 305-325.
    11. Eiichi Miyagawa, 2001. "Locating libraries on a street," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(3), pages 527-541.
    Full references (including those not matched with items on IDEAS)

    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. repec:spo:wpmain:info:hdl:2441/6ggbvnr6munghes9oc5kng5b4 is not listed on IDEAS
    3. 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.
    4. William Thomson, 2011. "Consistency and its converse: an introduction," Review of Economic Design, Springer;Society for Economic Design, vol. 15(4), pages 257-291, December.
    5. repec:hal:spmain:info:hdl:2441/6ggbvnr6munghes9oc5kng5b4 is not listed on IDEAS
    6. 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.
    7. repec:spo:wpecon:info:hdl:2441/6ggbvnr6munghes9oc5kng5b4 is not listed on IDEAS
    8. 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.
    9. repec:hal:wpspec:info:hdl:2441/6ggbvnr6munghes9oc5kng5b4 is not listed on IDEAS
    10. Kiumars Shahbazi & Salah Salimian, 2017. "Expansion of Location Theories of Firmsand Products’ Consistency Using Triangular Distribution Approach," Iranian Economic Review (IER), Faculty of Economics,University of Tehran.Tehran,Iran, vol. 21(3), pages 497-518, Summer.
    11. 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

    Efficiency; Consistency; Self-selection consistency; No-envy; Local stability; Diversity; Strong Nash equilibrium; Community division; Location;
    All these keywords.

    JEL classification:

    • H40 - Public Economics - - Publicly Provided Goods - - - General
    • D60 - Microeconomics - - Welfare Economics - - - General
    • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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