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Efficiency and Consistency for Locating Multiple Public Facilities

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  • Biung-Ghi Ju

    (Department of Economics, The University of Kansas)

Abstract

In the problem of locating multiple public facilities studied by Barbera and Bevia (2002), we offer simple necessary and sufficient conditions for effciency, 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, 2005. "Efficiency and Consistency for Locating Multiple Public Facilities," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 200507, University of Kansas, Department of Economics, revised Feb 2005.
    • Handle: RePEc:kan:wpaper:200507
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    File URL: http://www.ku.edu/~bgju/2005Papers/200507.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:hal:spmain:info:hdl:2441/6ggbvnr6munghes9oc5kng5b4 is not listed on IDEAS
    3. 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.
    4. 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.
    5. repec:hal:wpspec:info:hdl:2441/6ggbvnr6munghes9oc5kng5b4 is not listed on IDEAS
    6. 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.
    7. repec:spo:wpmain:info:hdl:2441/6ggbvnr6munghes9oc5kng5b4 is not listed on IDEAS
    8. 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.
    9. 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.
    10. repec:spo:wpecon:info:hdl:2441/6ggbvnr6munghes9oc5kng5b4 is not listed on IDEAS
    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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