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‘Almost’ subsidy-free spatial pricing in a multi-dimensional setting

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Author Info

  • Jacques, DREZE

    (UNIVERSITE CATHOLIQUE DE LOUVAIN, Center for Operations Research and Econometrics (CORE) - Belgium)

  • Michel, LE BRETON

    (Université de Toulouse I, GREMAQ and IDEI, Toulouse, France)

  • Alexei , SAVVATEV

    (NES, Moscow)

  • Sholmo, WEBER

    (Southern Methodist University, Dallas, USA and Université Catholique de Louvain, CORE - Belgium)

Abstract

Consider a population of citizens uniformly spread over the entire plane, that faces a problem of locating public facilities to be used by its members. The cost of every facility is financed by its users, who also face an idiosyncratic private access cost to the facility. We assume that the facilities cost is independent of location and access costs are linear with respect to the Euclidean distance. We show that an external intervention that covers O.19% of the facility cost is sufficient to guarantee secession-proofness or no cross-subsidization, where no group of individuals is charged more than its stand alone cost incurred if it had acted on its own. Moreover, we demonstrate that in this case the Rawlsian access pricing is the only secession-proof allocation.

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Bibliographic Info

Paper provided by Université catholique de Louvain, Département des Sciences Economiques in its series Discussion Papers (ECON - Département des Sciences Economiques) with number 2007030.

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Length: 23
Date of creation: 01 Sep 2007
Date of revision:
Handle: RePEc:ctl:louvec:2007030

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Related research

Keywords: Secession-proofness; optimal jurisdictions; Rawlsian allocation; hexagonal partition; cross-subsidiziation;

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References

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  1. Bogomolnaia, Anna & Le Breton, Michel & Savvateev, Alexei & Weber, Shlomo, 2006. "Stability under Unanimous Consent, Free Mobility and Core," IDEI Working Papers 413, Institut d'Économie Industrielle (IDEI), Toulouse.
  2. Guesnerie Roger & Oddou Claude, 1979. "Second best taxation as a game," CEPREMAP Working Papers (Couverture Orange) 7919, CEPREMAP.
  3. BOGOMOLNAIA, Anna & LE BRETON, Michel & SAVVATEEV, Alexei & WEBER, Shlomo, 2005. "Stability of jurisdiction structures under the equal share and median rules," CORE Discussion Papers 2005032, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  4. Stern, Nicholas, 1972. "The optimal size of market areas," Journal of Economic Theory, Elsevier, vol. 4(2), pages 154-173, April.
  5. WEBER, Shlomo & ZAMIR, Shmuel, . "Proportional taxation: nonexstence of stable structures in an economy with a public good," CORE Discussion Papers RP -621, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  6. Michel Le Breton & Shlomo Weber, 2003. "The Art of Making Everybody Happy: How to Prevent a Secession," IMF Staff Papers, Palgrave Macmillan, vol. 50(3), pages 4.
  7. Guesnerie, Roger & Oddou, Claude, 1988. " Increasing Returns to Size and Their Limits," Scandinavian Journal of Economics, Wiley Blackwell, vol. 90(3), pages 259-73.
  8. Wooders, Myrna, 1980. "The Tiebout Hypothesis: Near Optimality in Local Public Good Economies," Econometrica, Econometric Society, vol. 48(6), pages 1467-85, September.
  9. Casella, Alessandra, 1996. "The Role of Market Size in the Formation of Jurisdictions," CEPR Discussion Papers 1429, C.E.P.R. Discussion Papers.
  10. Jehiel, Philippe & Scotchmer, Suzanne, 2001. "Constitutional Rules of Exclusion in Jurisdiction Formation," Review of Economic Studies, Wiley Blackwell, vol. 68(2), pages 393-413, April.
  11. Mas-Colell, Andreu, 1980. "Efficiency and Decentralization in the Pure Theory of Public Goods," The Quarterly Journal of Economics, MIT Press, vol. 94(4), pages 625-41, June.
  12. 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.
  13. Alberto Alesina & Enrico Spolaore, 1995. "On the Number and Size of Nations," NBER Working Papers 5050, National Bureau of Economic Research, Inc.
  14. Wooders, Myrna, 1978. "Equilibria, the core, and jurisdiction structures in economies with a local public good," Journal of Economic Theory, Elsevier, vol. 18(2), pages 328-348, August.
  15. Le Breton, Michel & Weber, Shlomo, 2003. "The Art of Making Everybody Happy : How to Prevent a Secession," IDEI Working Papers 164, Institut d'Économie Industrielle (IDEI), Toulouse.
  16. Westhoff, Frank, 1977. "Existence of equilibria in economies with a local public good," Journal of Economic Theory, Elsevier, vol. 14(1), pages 84-112, February.
  17. Haimanko, Ori & Le Breton, Michel & Weber, Shlomo, 2004. "Voluntary formation of communities for the provision of public projects," Journal of Economic Theory, Elsevier, vol. 115(1), pages 1-34, March.
  18. Bollobas, Bela & Stern, Nicholas, 1972. "The optimal structure of market areas," Journal of Economic Theory, Elsevier, vol. 4(2), pages 174-179, April.
  19. Greenberg, Joseph & Weber, Shlomo, 1986. "Strong tiebout equilibrium under restricted preferences domain," Journal of Economic Theory, Elsevier, vol. 38(1), pages 101-117, February.
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Citations

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Cited by:
  1. Philippe De Donder & Michel Le Breton & Eugenio Peluso, 2012. "On the (sequential) majority choice of public good size and location," Social Choice and Welfare, Springer, vol. 39(2), pages 457-489, July.
  2. Le Breton, Michel & Moreno-Ternero, Juan D. & Savvateev, Alexei & Weber, Shlomo, 2012. "Stability and Fairness in Models with a Multiple Membership," IDEI Working Papers 715, Institut d'Économie Industrielle (IDEI), Toulouse.
  3. Dahm, Matthias, 2009. "Free Mobility and Taste-Homogeneity of Jurisdiction Structures," Working Papers 2072/15809, Universitat Rovira i Virgili, Department of Economics.
  4. Camelia Bejan & Juan Gómez, 2009. "Core extensions for non-balanced TU-games," International Journal of Game Theory, Springer, vol. 38(1), pages 3-16, March.
  5. Savvateev, A., 2013. "Coalitional Stability of a "Bipolar World"," Journal of the New Economic Association, New Economic Association, vol. 17(1), pages 10-43.

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