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Externalities, Consumption Constraints and Regular Economies

We consider a general model of pure exchange economies with consumption externalities. Households may have different consumption sets and each consumption set is described by a function called possibility function. Utility and possibility functions depend on the consumptions of all households. Our goal is to give sufficient conditions for the regularity of such economies. We prove that, generically, economies are regular in the space of endowments and possibility functions.

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Paper provided by Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy in its series CSEF Working Papers with number 195.

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Date of creation: 11 Feb 2008
Date of revision: 01 Dec 2009
Publication status: Published in Economic Theory, 2010, 44(1), 123-147
Handle: RePEc:sef:csefwp:195
Contact details of provider: Postal: I-80126 Napoli
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  1. CITANNA, Alessandro & POLEMARCHAKIS, Heracles M. & TIRELLI, M., 2000. "The Taxation of Trades in assets," Les Cahiers de Recherche 721, HEC Paris.
  2. Balasko, Yves & Cass, David & Siconolfi, Paolo, 1990. "The structure of financial equilibrium with exogenous yields : The case of restricted participation," Journal of Mathematical Economics, Elsevier, vol. 19(1-2), pages 195-216.
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  4. Elena Laureana Del Mercato, 2004. "Existence of competitive equilibria with externalities : a differential viewpoint," Cahiers de la Maison des Sciences Economiques b04078, Université Panthéon-Sorbonne (Paris 1).
  5. Geanakoplos, John & Polemarchakis, H.M., 2008. "Pareto improving taxes," Journal of Mathematical Economics, Elsevier, vol. 44(7-8), pages 682-696, July.
  6. Kung, Fan-chin, 2008. "Voluntary contributions to multiple public goods in a production economy with widespread externalities," Journal of Mathematical Economics, Elsevier, vol. 44(12), pages 1364-1378, December.
  7. John Geanakoplos & H. M. Polemarchakis, 2008. "Pareto Improving Taxes," Cowles Foundation Discussion Papers 1662, Cowles Foundation for Research in Economics, Yale University.
  8. Bernard Cornet & Mihaela Topuzu, 2005. "Existence Of Equilibria For Economies With Externalities And A Measure Space Of Consumers," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 200505, University of Kansas, Department of Economics, revised Feb 2005.
  9. Polemarchakis, H. M. & Siconolfi, P., 1997. "Generic existence of competitive equilibria with restricted participation," Journal of Mathematical Economics, Elsevier, vol. 28(3), pages 289-311, October.
  10. Dierker, Egbert, 1993. "Regular economies," Handbook of Mathematical Economics, in: K. J. Arrow & M.D. Intriligator (ed.), Handbook of Mathematical Economics, edition 4, volume 2, chapter 17, pages 795-830 Elsevier.
  11. Monique Florenzano, 2008. "General equilibrium," Documents de travail du Centre d'Economie de la Sorbonne b08005, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
  12. Cass, David, 1991. "Incomplete financial markets and indeterminacy of competitive equilibrium," CEPREMAP Working Papers (Couverture Orange) 9107, CEPREMAP.
  13. Andrés Carvajal, 2003. "Testable Restrictions og General Equilibrium Theory in Exchange Economies with Externalities," BORRADORES DE ECONOMIA 003556, BANCO DE LA REPÚBLICA.
  14. Cres, Herve, 1996. "Symmetric Smooth Consumption Externalities," Journal of Economic Theory, Elsevier, vol. 69(2), pages 334-366, May.
  15. Atsushi Kajii & Antonio Villanacci & Alessandro Citanna, 1998. "Constrained suboptimality in incomplete markets: a general approach and two applications," Economic Theory, Springer, vol. 11(3), pages 495-521.
  16. Cass, David & Siconolfi, Paolo & Villanacci, Antonio, 2001. "Generic regularity of competitive equilibria with restricted participation," Journal of Mathematical Economics, Elsevier, vol. 36(1), pages 61-76, September.
  17. Zame, William R. & Noguchi, Mitsunori, 2006. "Competitive markets with externalities," Theoretical Economics, Econometric Society, vol. 1(2), pages 143-166, June.
  18. Allen, Beth, 1981. "Utility perturbations and the equilibrium price set," Journal of Mathematical Economics, Elsevier, vol. 8(3), pages 277-307, October.
  19. repec:cup:cbooks:9780521335614 is not listed on IDEAS
  20. Paul Heidhues & Frank Riedel, 2007. "Do social preferences matter in competitive markets?," Center for Mathematical Economics Working Papers 392, Center for Mathematical Economics, Bielefeld University.
  21. Herakles Polemarchakis, 2001. "The taxation of trades in assests," Working Papers 2001-21, Brown University, Department of Economics.
  22. Bonnisseau, Jean-Marc, 2003. "Regular economies with non-ordered preferences," Journal of Mathematical Economics, Elsevier, vol. 39(3-4), pages 153-174, June.
  23. David Cass & Alessandro Citanna, 1998. "Pareto improving financial innovation in incomplete markets," Economic Theory, Springer, vol. 11(3), pages 467-494.
  24. Shannon, Chris, 1994. "Regular nonsmooth equations," Journal of Mathematical Economics, Elsevier, vol. 23(2), pages 147-165, March.
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