Portal de Periódicos da CAPES

ALTERNATIVE SPATIAL EQUILIBRIUM MODELS

1970; Wiley; Volume: 10; Issue: 1 Linguagem: Catalão

10.1111/j.1467-9787.1970.tb00030.x

1467-9787

T. Takayama, George G. Judge,

Economic and Environmental Valuation

Journal of Regional ScienceVolume 10, Issue 1 p. 1-12 ALTERNATIVE SPATIAL EQUILIBRIUM MODELS T. Takayama, T. Takayama Professors in the Departments of Economics and Agricultural Economics, respectively, at the University of Illinois at Urbana-Champaign.Search for more papers by this authorG. G. Judge, G. G. Judge Professors in the Departments of Economics and Agricultural Economics, respectively, at the University of Illinois at Urbana-Champaign.Search for more papers by this author T. Takayama, T. Takayama Professors in the Departments of Economics and Agricultural Economics, respectively, at the University of Illinois at Urbana-Champaign.Search for more papers by this authorG. G. Judge, G. G. Judge Professors in the Departments of Economics and Agricultural Economics, respectively, at the University of Illinois at Urbana-Champaign.Search for more papers by this author First published: April 1970 https://doi.org/10.1111/j.1467-9787.1970.tb00030.xCitations: 32AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onEmailFacebookTwitterLinkedInRedditWechat REFERENCES [1] Barankin, E. W. and R. Dorfman. On Quadratic Programming. Berkeley : University of California Publications in Statistics, 1958. [2] Barten, A. P. Estimating General Equations," Econometrica, 36 (1968), 213–251. [3] Beckmann, M. J. and T. Marschak. An Activity Analysis Approach to Location Theory," Proceedings of the Second Symposium in Linear Programming, Washington , D. C. , 1955, pp. 357–377. [4] Dantzig, G. B. and A. Orden. Duality Theorems," RAND Report R.M.-1265, RAND Corporation, October, 1953. [5] de Janvry, J. and J. Bieri. On the Problem of Degrees of Freedom in the Analysis of Consumer Behavior," American Journal of Agricultural Economics, 50 (1968), 1720–1735. [6] Dorn, W. S. Duality in Quadratic Programming," Quarterly of Applied Mathematics, 18 (1960), 155–162. [7] Enke, S. Equilibrium Among Spatially Separated Markets: Solution by Electric Analogue," Econometrica, 19 (1951), 40–47. [8] Gale, D. The Theory of Linear Economic Models. New York : McGraw-Hill Book Company, 1960. [9] Hanson, M. A. A Duality Theorem in Non-Linear Programming with Non-Linear Restraints," The Australian Journal of Statistics, 3 (1961), 64–72. [10] Hoch, I. Cobb-Douglas Production Functions with Supply Applications," unpublished paper, Resources for the Future, 1969. [11] Hotelling, H. The General Welfare in Relation to Problems of Taxation and Railway and Utility Rates," Econometrica, 6 (1938), 242–269. [12] Hotelling, H. Edgeworth Taxation Paradox and the Nature of Demand and Supply Functions," Journal of Political Economy, 40 (1932), 577–616. [13] Karlin, S. Mathematical Methods and Theory in Games, Programming and Economics. London : Addison-Wesley, 1959. [14] Koopmans, T. C. Analysis of Production as an Efficient Combination of Activities," in T. C. Koopmans(ed.) , Activity Analysis oj Production and Allocation. New York : John Wiley and Sons, 1951, pp. 33–97. [15] Kuhn, H. and A. Tucker. Non-Linear Programming," in J. Neyman (ed.), Proceedings of the Second Berkeley Symposium on Mathematical Statistics and Probability. Berkeley : University of California Press, 1951, pp. 481–492. [16] Lefeber, L. Allocation in Space. Amsterdam : North Holland Publishing Company, 1958. [17] Plessner, Y. and E. O. Heady Competitive Equilibrium Solutions with Quadratic Programming," Metroeconomica, 17 (1965), 117–130. [18] Saaty, T. L. and J. Bram. Nonlinear Mathematics. New York : McGraw-Hill Book Company, 1964. [19] Samuelson, P. A. Spatial Price Equilibrium and Linear Programming," American Economic Review, 42 (1952), 283–303. [20] Slater, M. Lagrange Multipliers Revisited: A Contribution to Non-Linear Programming," Cowles Commission Discussion Paper 403, Chicago : University of Chicago, November,1950. [21] Stevens, B. H. An Interregional Linear Programming Model," Journal of Regional Science, 1 (1959), 60–98. [22] Takayama, T. and G. G. Judge. Equilibrium Among Spatially Separated Markets: A Reformulation," Econometrica, 32 (1964), 510–524. [23] Takayama, T. and G. G. Judge. An Interregional Activity Analysis Model of the Agricultural Sector," Journal of Farm Economics, 46 (1964), 349–365. [24] Takayama, T. and G. G. Judge. An Intertemporal Price Equilibrium Model," Journal of Farm Economics, 46 (1964), 477–484. [25] Takayama, T. and A. Woodland. Equivalence of Price and Quantity Formulations of Spatial Equilibrium: Purified Duality in Quadratic and Concave Programming," Econometrica, (forthcoming). [26] Taylor, A. E. Advanced Calculus. New York : Ginn and Co., 1955. [27] Uzawa, H. Market Mechanisms and Mathematical Programming," Econometrica, 28 (1960), 872–881. [28] Wald, A. The Approximate Determination of Indifference Surfaces by Means of Engel Curves," Econometrica, 8 (1940), 144–175. [29] Wold, H. Demand Analysis. New York : John Wiley and Sons, Inc. 1953. [30] Wolfe, P. The Simplex Method for Quadratic Programming," Econometrica, 27 (1959), 382–398. [31] Yaron, D. An Application of Mathematical Programming to National Planning in Agriculture," The Farm Economist, 10 (1963), 256–264. [32] Yaron, D. Incorporation of Income Effects into Mathematical Programming Models," Metroeconomica, 19 (1967), 141–160. [33] Yaron, D., Y. Plessner, and E. O. Heady. Competitive Equilibrium—Application of Mathematical Programming," Canadian Journal of Agricultural Economics, 13 (1965), 65–79. Citing Literature Volume10, Issue1April 1970Pages 1-12 ReferencesRelatedInformation