Externalities and fundamental nonconvexities : a reconciliation of approaches to general equilibrium externality modeling and implications for decentralization
Murty, Sushama (2006) Externalities and fundamental nonconvexities : a reconciliation of approaches to general equilibrium externality modeling and implications for decentralization. Working Paper. Coventry: University of Warwick, Department of Economics. (Warwick economic research papers.
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By distinguishing between producible and nonproducible public goods, we are able to propose a general equilibrium model with externalities that distinguishes between and encompasses both the Starrett  and Boyd and Conley  type external effects. We show that while nonconvexities remain fundamental whenever the Starrett type external effects are present, these are not caused by the type discussed in Boyd and Conley. Secondly, we find that the notion of a “public competitive equilibrium” for public goods found in Foley [1967, 1970] allows a decentralized mechanism, based on both price and quantity signals, for economies with externalities, which is able to restore the equivalence between equilibrium and efficiency even in the presence of nonconvexities. This is in contrast to equilibrium notions based purely on price signals such as the Pigouvian taxes.
|Item Type:||Working or Discussion Paper (Working Paper)|
|Subjects:||H Social Sciences > HB Economic Theory|
|Divisions:||Faculty of Social Sciences > Economics|
|Library of Congress Subject Headings (LCSH):||Externalities (Economics), Public goods|
|Series Name:||Warwick economic research papers|
|Publisher:||University of Warwick, Department of Economics|
|Place of Publication:||Coventry|
|Number of Pages:||35|
|Institution:||University of Warwick|
|Status:||Not Peer Reviewed|
|Access rights to Published version:||Open Access|
|References:||Arrow, K.J. (1969). Issues pertinent to the choice of market versus non-market allocations. The Analysis and Evaluation of Public Expenditures: The P.P.B. System, Joint Committee of the Congress of the United States, Washington, D.C., pp.47–64. Baumol, W.J. (1972). On taxation and the control of externalities. The American Economic Review, 62, pp.307–322. Baumol, W.J., and Bradford D. F. (1972). Detrimental externalities and nonconvexities of the production set. Economica, 39, pp.160–176. Beato P. (1982). The existence of marginal cost pricing equilibria with increasing returns. Quarterly Journal of Economics, 97, pp.669–688. Beato P., and Mas-Colell A. (1985). On marginal cost pricing equilibria with given tax-subsidy rules. Journal of Economic Theory, 37, pp.356–365. Beaudry P., Blackorby, C., and Szalay, D. (2006) Taxes and employment subsidies in optimal redistribution programs (draft). Bonniseau J. M., and Cornet, B. (1990). Existence of marginal cost pricing equilibria: the nonsmooth case. International Economic Review, 31, pp.685–708. Boyd III, J. H., and Conley, J.P. (1997). Fundamental nonconvexities in arrovian markets and the coasian solution to the problem of externalities. Journal of Economic Theory, 72, pp.388–407. Bradford, D. F. (2005). Improving on Kyoto: greenhouse gas control as the purchase of a global public good. David F. Bradford Memorial Conference on “The design of climate change policy,” Venice International University and CESifo. Brown, D., and Heal, G. (1978). Equity, efficiency, and increasing returns. Review of economic Studies, 46, pp.571–585. Calsamiglia, X. (1976). Decentralized resource allocation and increasing returns. Journal of Economic Theory, 14, pp.263–283. Clarke, F.H. (1975). Generalized gradients and applications. Transactions of the American Mathematical Society, 205, pp.247–262. Clarke, F.H. (1983). Optimization and nonsmooth analysis. New York: Wiley. Clarke, F.H. (1989). Methods of dynamic and nonsmooth optimization, Montpelier, Vermont: Capital City Press. Coase, R. (1960). The problem of social cost. Journal of Law and Economics, 3, pp.1–44. Conley J. P., and Smith, S.C. (2002). Coasian equilibrium (draft). Cornet, B. (1989). Existence of equilibria in economies with increasing returns. In Cornet B. and Tulkens H. (eds.) Contributions to Operations Research and Economics: The Twentieth Anniversary of CORE. Cambridge, Massachusetts: MIT Press. Debreu, G. (1959). Theory of value. Cowles Foundation Monograph 17: Yale University. Diewert, W. E. (1974). Applications of duality theory. In Intrilligator M. D. and Kendrick D. A (eds.) Frontiers of QuantitativeEconomics, Volume II. North Holland Publishing Company. Foley, D.K. (1967). Resource allocation and the public sector, Yale Economic Essays, 7, pp.43–98. Foley, D.K. (1970). Lindahl solutions and the core of an economy with public goods. Econometrica, 38, pp.66–72. Ghosal, S., and Polemarchakis, H.M. (1999). Exchange and optimality. Economic Theory, 13, pp.629–42. Guesnerie, R. (1975). Pareto optimality in nonconvex economies. Econometrica, 43, pp.1–29. Guesnerie, R. (1979). General statements on second best pareto optimality. Journal of Mathematical Economics, 6, pp.169–194. Guesnerie, R. (2005). The design of post-Kyoto climate schemes: an introductory analytical assessment. David F. Bradford Memorial Conference on “The design of climate change policy,” Venice International University and CESifo. Heal, G. (1999). The economics of increasing returns. Edward Elger. Hurwicz, L. (1995). What is the coase theorem? Japan and the World Economy, 7, pp.49–74. Hurwicz, L. (1999). Revisiting externalities. Journal of Public Economic Theory, 1, pp.225–245. Khan, M. A., and Vohra, R. (1987). An extension of the second welfare theorem to economies with nonconvexities and public goods. The Quarterly Journal of Economics, 102, pp.223–242. Malinvaud, E. (1985). Lectures in microeconomic theory. Amsterdam: North Holland Publishing Company. McFadden, D. (1978). Cost, revenue, and profit functions. In Fuss M. and McFadden D. (eds.) Production economics: a dual approach to theory and applications, Volume I. Amsterdam, North Holland Publishing Company. Milleron, J.C. (1972). Theory of value with public goods. Journal of Economic Theory, 5, pp.419–477. Otani, Y., and Sicilian, J. (1977). Externalities and problems of nonconvexity and overhead costs in welfare economics. Journal of Economic Theory, 14, pp.239–251. Pigou, A. C. (1932). The economics of welfare, London, Macmillan. Quinzii, M. (1993). Increasing returns and economic efficiency. Oxford: Oxford University Press. Rockafellar, R.T. (1978). Clarke’s tangent cones and the boundaries of closed sets in Rn. Nonlinear Analysis, Theory and Applications, 3, pp.145–154. Russell, R. R. and Murty, S. (2002). On modeling pollution-generating technologies. University of California, Riverside, Department of Economics, (Working Paper Series 02–14). Starrett, D. (1972). Fundamental nonconvexities in the theory of externalities. Journal of Economic Theory, 4, pp.180–199. Starrett, D., and Zeckhauser, P. (1974). Treating external diseconomies–markets or taxes. In Pratt J. W. (ed.) Statistical and Mathematical Aspects of Pollution Problems. Amsterdam: Dekker. Tulkens, H. and Schoumaker, F. (1975). Stability analysis of an effluent charge and ‘polluters pay’ principle. Journal of Public Economics, 4, pp.245–265. Varian, R. H. (1995). Coase, competition, and compensation. Japan and the World Economy, 7, pp.13–27.|
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