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Gale–Nikaido–Debreu and Milgrom–Shannon: Communal interactions with endogenous community structures

Listed author(s):
  • Musatov, Daniil
  • Savvateev, Alexei
  • Weber, Shlomo

This paper examines Nash jurisdictional stability in a model with a continuum of agents whose characteristics are distributed over a unidimensional interval. Communal benefits and costs of each individual depend on her identity and the composition of the community which she belongs to. Since the framework is too general to yield an existence of Nash equilibrium, we introduce the essentiality of membership in one of the communities for all individuals. We highlight the Border Indifference Property (BIP), when all individuals located on a border between two adjacent jurisdictions are indifferent about joining either of them and show that BIP is a necessary condition for yielding a Nash equilibrium. We invoke the celebrated Gale–Nikaido–Debreu Lemma to guarantee the existence of a partition that satisfies BIP. We then proceed to demonstrate that BIP is not sufficient to yield a Nash equilibrium. The equilibrium existence under BIP is rescued when we use the Milgrom–Shannon monotone comparative statics conditions.

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File URL: http://www.sciencedirect.com/science/article/pii/S0022053116300746
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Article provided by Elsevier in its journal Journal of Economic Theory.

Volume (Year): 166 (2016)
Issue (Month): C ()
Pages: 282-303

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Handle: RePEc:eee:jetheo:v:166:y:2016:i:c:p:282-303
DOI: 10.1016/j.jet.2016.09.001
Contact details of provider: Web page: http://www.elsevier.com/locate/inca/622869

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  1. Becker, Gary S, 1974. "A Theory of Social Interactions," Journal of Political Economy, University of Chicago Press, vol. 82(6), pages 1063-1093, Nov.-Dec..
  2. Edward L. Glaeser & Bruce Sacerdote & José A. Scheinkman, 1996. "Crime and Social Interactions," The Quarterly Journal of Economics, Oxford University Press, vol. 111(2), pages 507-548.
  3. Alberto Alesina & Enrico Spolaore, 1997. "On the Number and Size of Nations," The Quarterly Journal of Economics, Oxford University Press, vol. 112(4), pages 1027-1056.
  4. Jan Eeckhout, 2004. "Gibrat's Law for (All) Cities," American Economic Review, American Economic Association, vol. 94(5), pages 1429-1451, December.
  5. George A. Akerlof, 1997. "Social Distance and Social Decisions," Econometrica, Econometric Society, vol. 65(5), pages 1005-1028, September.
  6. William A. Brock & Steven N. Durlauf, 2001. "Discrete Choice with Social Interactions," Review of Economic Studies, Oxford University Press, vol. 68(2), pages 235-260.
  7. Anna Bogomolnaia & Michel Breton & Alexei Savvateev & Shlomo Weber, 2008. "Stability of jurisdiction structures under the equal share and median rules," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 34(3), pages 525-543, March.
  8. Axelrod, Robert & Bennett, D. Scott, 1993. "A Landscape Theory of Aggregation," British Journal of Political Science, Cambridge University Press, vol. 23(02), pages 211-233, April.
  9. Le Breton, Michel & Weber, Shlomo, 2011. "Games of social interactions with local and global externalities," Economics Letters, Elsevier, vol. 111(1), pages 88-90, April.
  10. Patrick Bolton & Gérard Roland, 1997. "The Breakup of Nations: A Political Economy Analysis," The Quarterly Journal of Economics, Oxford University Press, vol. 112(4), pages 1057-1090.
  11. Bossert, Walter & D’Ambrosio, Conchita, 2014. "Proximity-sensitive individual deprivation measures," Economics Letters, Elsevier, vol. 122(2), pages 125-128.
  12. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
  13. Charles F. Manski, 2000. "Economic Analysis of Social Interactions," Journal of Economic Perspectives, American Economic Association, vol. 14(3), pages 115-136, Summer.
  14. 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 1-4.
  15. Bernheim, B Douglas, 1994. "A Theory of Conformity," Journal of Political Economy, University of Chicago Press, vol. 102(5), pages 841-877, October.
  16. d'Aspremont, C & Gabszewicz, Jean Jaskold & Thisse, J-F, 1979. "On Hotelling's "Stability in Competition"," Econometrica, Econometric Society, vol. 47(5), pages 1145-1150, September.
  17. 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.
  18. Milgrom, Paul & Shannon, Chris, 1994. "Monotone Comparative Statics," Econometrica, Econometric Society, vol. 62(1), pages 157-180, January.
  19. Dreze, Jacques & Le Breton, Michel & Weber, Shlomo, 2007. "Rawlsian pricing of access to public facilities: A unidimensional illustration," Journal of Economic Theory, Elsevier, vol. 136(1), pages 759-766, September.
  20. Xavier Gabaix, 1999. "Zipf's Law for Cities: An Explanation," The Quarterly Journal of Economics, Oxford University Press, vol. 114(3), pages 739-767.
  21. Philippe Jehiel & Suzanne Scotchmer, 2001. "Constitutional Rules of Exclusion in Jurisdiction Formation," Review of Economic Studies, Oxford University Press, vol. 68(2), pages 393-413.
  22. Cremer, Helmuth & De Kerchove, Anne-Marie & Thisse, Jacques-Francois, 1985. "An economic theory of public facilities in space," Mathematical Social Sciences, Elsevier, vol. 9(3), pages 249-262, June.
  23. Durlauf, Steven N., 2004. "Neighborhood effects," Handbook of Regional and Urban Economics,in: J. V. Henderson & J. F. Thisse (ed.), Handbook of Regional and Urban Economics, edition 1, volume 4, chapter 50, pages 2173-2242 Elsevier.
  24. Greenberg, Joseph & Weber, Shlomo, 1986. "Strong tiebout equilibrium under restricted preferences domain," Journal of Economic Theory, Elsevier, vol. 38(1), pages 101-117, February.
  25. Andreu Mas-Colell, 1980. "Efficiency and Decentralization in the Pure Theory of Public Goods," The Quarterly Journal of Economics, Oxford University Press, vol. 94(4), pages 625-641.
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