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“Almost” Subsidy-free Spatial Pricing in a Multi-dimensional Setting

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  • Alexei Savvateev

    (New Economic School)

  • Jacques Drèze

    (CORE, Catholic University of Louvain)

  • Michel Le Breton

    (Université de Toulouse I, GREMAQ and IDEI)

  • Shlomo Weber

    (outhern Methodist University)

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 0.19% 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 Fondazione Eni Enrico Mattei in its series Working Papers with number 2007.68.

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Date of creation: Jun 2007
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Handle: RePEc:fem:femwpa:2007.68

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Keywords: Secession-Proofness; Optimal Jurisdictions; Rawlsian Allocation; Hexagonal Partition; Cross-Subsidization;

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References

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  1. Anna Bogomolnaia & Michel Breton & Alexei Savvateev & Shlomo Weber, 2007. "Stability under unanimous consent, free mobility and core," International Journal of Game Theory, Springer, vol. 35(2), pages 185-204, January.
  2. Stern, Nicholas, 1972. "The optimal size of market areas," Journal of Economic Theory, Elsevier, vol. 4(2), pages 154-173, April.
  3. 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.
  4. Wooders, Myrna, 1980. "The Tiebout Hypothesis: Near Optimality in Local Public Good Economies," Econometrica, Econometric Society, vol. 48(6), pages 1467-85, September.
  5. Guesnerie, Roger & Oddou, Claude, 1988. " Increasing Returns to Size and Their Limits," Scandinavian Journal of Economics, Wiley Blackwell, vol. 90(3), pages 259-73.
  6. Casella, Alessandra, 1996. "The Role of Market Size in the Formation of Jurisdictions," CEPR Discussion Papers 1429, C.E.P.R. Discussion Papers.
  7. Bogomolnaia, Anna & Le Breton, Michel & Savvateev, Alexei & Weber, Shlomo, 2005. "Stability of Jurisdiction Structures under the Equal Share and Median Rule," IDEI Working Papers 362, Institut d'Économie Industrielle (IDEI), Toulouse.
  8. 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.
  9. 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.
  10. Greenberg, Joseph & Weber, Shlomo, 1986. "Strong tiebout equilibrium under restricted preferences domain," Journal of Economic Theory, Elsevier, vol. 38(1), pages 101-117, February.
  11. Alberto Alesina & Enrico Spolaore, 1995. "On the Number and Size of Nations," NBER Working Papers 5050, National Bureau of Economic Research, Inc.
  12. 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.
  13. Guesnerie, Roger & Oddou, Claude, 1981. "Second best taxation as a game," Journal of Economic Theory, Elsevier, vol. 25(1), pages 67-91, August.
  14. 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.
  15. 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.
  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. 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).
  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. 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.
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Citations

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Cited by:
  1. Michel Le Breton & Juan Moreno-Ternero & Alexei Savvateev & Shlomo Weber, 2013. "Stability and fairness in models with a multiple membership," International Journal of Game Theory, Springer, vol. 42(3), pages 673-694, August.
  2. De Donder, Philippe & Le Breton, Michel & Peluso, Eugenio, 2009. "On the (Sequential) Majority Choice of Public Good Size and Location," CEPR Discussion Papers 7223, C.E.P.R. Discussion Papers.
  3. Matthias Dahm, 2010. "Free mobility and taste-homogeneity of jurisdiction structures," International Journal of Game Theory, Springer, vol. 39(1), pages 259-272, March.
  4. Savvateev, A., 2013. "Coalitional Stability of a "Bipolar World"," Journal of the New Economic Association, New Economic Association, vol. 17(1), pages 10-43.
  5. 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.

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