Tian, Guoqiang (2001): The Unique Informational Effciency of the Lindahl Allocation Process in Economies with Public Goods.
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This paper investigates the informational requirements of resource allocation processes in public goods economies with any number of firms and commodities. We show that the Lindahl mechanism is informationally effcient in the sense that it uses the smallest message space among smooth resource allocation processes that are informationally decentralized and realize Pareto optimal allocations over the class of public goods economies where Lindahl equilibria exist. Furthermore, we show that the Lindahl mechanism is the unique informationally effcient decentralized mechanism that realizes Pareto effcient and individually rational allocations in public goods economies with Cobb-Douglas utility functions and quadratic production functions.
|Item Type:||MPRA Paper|
|Original Title:||The Unique Informational Effciency of the Lindahl Allocation Process in Economies with Public Goods|
|Keywords:||Informational Effciency, Lindahl Allocation Process, Public Goods|
|Subjects:||D - Microeconomics > D5 - General Equilibrium and Disequilibrium
D - Microeconomics > D7 - Analysis of Collective Decision-Making > D71 - Social Choice; Clubs; Committees; Associations
P - Economic Systems > P5 - Comparative Economic Systems > P51 - Comparative Analysis of Economic Systems
D - Microeconomics > D8 - Information, Knowledge, and Uncertainty > D83 - Search; Learning; Information and Knowledge; Communication; Belief
D - Microeconomics > D6 - Welfare Economics > D61 - Allocative Efficiency; Cost-Benefit Analysis
|Depositing User:||Guoqiang Tian|
|Date Deposited:||12. Sep 2012 12:54|
|Last Modified:||18. Feb 2013 08:24|
Calsamiglia, X., 1977, Decentralized resource allocation and increasing returns, Journal of Economic Theory 14, 263-283.
Calsamiglia, X. and A. Kirman, 1993, A unique informationally e±cient and decentralized mechanism with fair outcomes, Econometrica 61, 1146-1172.
Debreu, G., 1959, Theory of value (Wiley, New York). Foley, D., 1970, Lindahl's solution and the core of an economy with Ppblic goods," Econometrica 38 (1970), 66-72.
Greenberg, M., 1967, Lectures on Algebraic Topology (Benjamin, New York).
Hayek, F. A. von, 1935, The present state of the debate, in: F. A. von Hayek, ed., Collectivist economic planning (London).
Hayek, F. A. von, 1945, The use of knowledge in society, American Economic Review 35, 519-530.
Hurwicz, L., 1960, Optimality and informational e±ciency in resource allocation processes, in: K. J. Arrow, S. Karlin, and P. Suppes eds., Mathematical methods in the social sciences (Stanford University Press).
Hurwicz, L., 1972, On informationally decentralized systems, in: Radner, R. and C. B. McGuire, eds., Decision and organization, Volume in Honor of J. Marschak (North-Holland) 297-336.
Hurwicz, L., 1977, On the dimension requirements of informationally decentralized Pareto- satisfactory processes," in: K Arrow and L. Hurwicz, eds., Studies in resource allocation processes, (Cambridge University Press).
Hurwicz, L., 1979a, On allocations attainable through Nash equilibria, Journal of Economic Theory 21, 149-165.
Hurwicz, L., 1979b, On informational decentralization and effciency in resource allocation mechanism, in: S. Reiter, ed., Studies in mathematical economics, (Mathematical Association of America).
Hurwicz, L., 1999, Revisiting externalities, Journal of Public Economic Theory 1, 225-246.
Hurwicz, L., S. Reiter, and D. Saari, 1985, On constructing mechanisms with message spaces of minimal dimension for smooth performance function," (Northwestern University), mimeo.
Jordan, J. S., 1982, The competitive allocation process is informationally e±cient uniquely, Journal of Economic Theory 28, 1-18.
Kelly, J. L., 1955, General topology (Van Nostrand, Princeton, N.J.).
Lange, O, 1936-1937, On the economic theory of socialism, Review of Economic Studies 4.
Lange, O., 1942, The foundations of welfare economics, Econometrica 10, 215-228.
Lerner, A. P., 1944, The economics of control (New York). Milleron, J.-C., 1972, Theory of value with public goods: a survey article, Journal of Economic Theory 5, 419-477.
Mount, K. and S. Reiter, 1974, Informational size of message spaces, Journal of Economic Theory 8, 161-191.
Nayak, J. 1982, The informational e±ciency of the Lindahl process in economies with public goods, Research Paper No. 23 (Cambridge University).
Reichelstein S., and S. Reiter, 1988, Game forms with minimal strategy spaces, Econometrica 49, 661-692.
Sato, F., 1981, On the informational size of message spaces for resource allocation processes in economies with public goods, Journal of Economic Theory 24, 48-69.
Tian, G., 1989, Implementation of the Lindahl correspondence by a single-valued, feasible, and continuous mechanism, Review of Economic Studies 56, 613-621.
Tian, G., 1990, Completely feasible and continuous Nash-implementation of the Lindahl correspondence with a message space of minimal dimension, Journal of Economic Theory 51, 443-452.
Tian, G., 1994, On informational effciency and incentive aspects of generalized ratio equilibria, Journal of Mathematical Economics 23), 323-337.
Tian, G., 2004, A Unique Informationally Effcient Allocation Mechanism in Economies with Consumption Externalities, International Economic Review, 45, 79-111.
Tian, G., 2006, On Uniqueness of Informational Effciency of the Competitive Mechanism In Production Economies," Social Choice and Welfare, forthcoming.
Varian, H. R., 1992, Microeconomic analysis, third edition (Norton & Company, New York).
Walker, M., 1977, On the informational size of message spaces, Journal of Economic Theory 15, 366-375.
Walker, M., 1981, A simple incentive compatible mechanism for attaining Lindahl allocations, Econometrica 49, 65-71.