Duality Theory of non-convex technologies

Journal of Productivity Analysis

Volumn 20, Issue 3, 2003, Pages 273-304

  Kuosmanen, Timo ^a  

^a WAGENINGEN UNIVERSITY   (Netherlands)

Author keywords

Duality theory; Non convex technologies; Nonparametric production analysis; Production theory

Indexed keywords

EID: 1642327130     PISSN: 0895562X     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1027399700108     Document Type: Conference Paper

References (54)

1. Afriat, S. (1972). "Efficiency Estimation of Production Functions." International Economic Review 13(3), 568-598.
2. Allen, R., A. D. Athanassopoulos, R. G. Dyson and E. Thanassoulis. (1997). "Weight Restrictions and Value Judgments in DEA: Evolution, Development and Future Directions." Annals of Operations Research 73, 13-34.
3. Arrow, K. J. and F. H. Hahn. (1971). General Competitive Analysis. San Francisco/Edinburgh: Holden-Day Inc.-Oliver & Boyd,
4. Balder, E. J. (1978). "An Extension of Duality-Stability Relations to Non-Convex optimization Problems". SIAM Journal of Control and Optimization 15(2), 329-343.
5. Banker, R. D., A. Charnes and W. W. Cooper. (1984). "Some Models for Estimating Technical and Scale Inefficiencies in Data Envelopment Analysis". Management Science 30, 1078-1092.
6. Bogetoft, P. (1996). "DEA on Relaxed Convexity Assumptions". Management Science 42, 457-465.
7. Bogetoft, P., J. M. Tama and J. Tind. (2000). "Convex Input and Output Projections of Nonconvex Production Possibility Sets." Management Science 46(6), 858-869.
8. Borland, J. and X. Yang. (1995). "Specialization, Product Development, Evolution of the Institution of the Firm, and Economic Growth." Journal of Evolutionary Economics 5(1), 19-42.
9. Chambers, R. G., Y. Chung and R. Färe. (1996). "Benefit and Distance Functions." Journal of Economic Theory 70, 407-418.
10. Chambers, R. G., Y. Chung and R. Färe. (1998). "Profit, Directional Distance Functions, and Nerlovian Efficiency." Journal of Optimization Theory and Applications 98(2), 351-364.
11. Charnes, A. and W. W. Cooper. (1985). "Preface to Topics in Data Envelopment Analysis." Annals of Operations Research 2, 59-94.
12. Charnes, A., Cooper, W. W. and Rhodes, E. (1978). "Measuring the Efficiency of Decision Making Units." European Journal of Operational Research 2(6), 429-444.
13. Cherchye, L., T. Kuosmanen and T. Post. (2000). "What is the Economic Meaning of FDH? A Reply to Thrall." Journal of Productivity Analysis 13(3), 259-263.
14. Cherchye, L., T. Kuosmanen and T. Post. (2001). "Alternative Treatments of Congestion in DEA: A Rejoinder to Cooper, Gu, and Li." European Journal of Operational Research 132(1), 75-80.
15. Deprins, D., D. Simar, H. Tulkens. (1984). "Measuring Labor Efficiency in Post Offices." In M. Marchand, P. Pestieau and H. Tulkens (eds.), The Performance of Public Enterprises: Concepts and Measurements. Amsterdam: North Holland, pp. 243-267.
16. Diewert, W. E. (1974). "Applications of Duality Theory." In M. D. Intrilligator and D. A. Kendrick (eds.), Frontiers of Quantitative Economics. Vol. II, Amsterdam: North Holland, pp. 176-199.
17. Diewert, W. E. (1982). "Duality Approaches to Microeconomic Theory." In K. J. Arrow and M. D. Intrilligator (eds.), Handbook of Mathematical Economics, Vol. II, Amsterdam: North Holland, pp. 535-600.
18. Eggleston, H. G. (1958). Convexity. Cambridge: Cambridge University Press.
19. Epstein, L. G. (1981). "Generalized Duality and Integrability." Econometrica 49, 655-678.
20. First, S., T. Hackman and U. Passy. (1993). "Efficiency Estimation and Duality Theory for Nonconvex Technologies." Journal of Mathematical Economics 22(3), 295-307.
21. Färe, R. (1978). "Production Theory Dualities for Optimally Realized Values." In W. Eichorn, R. Henn, O. Opitz and R. W. Shephard (eds.), Theory and Applications of Economic Indices. Würzburg: Physica-Verlag, pp. 657-666.
22. Färe, R., S. Grosskopf and C. A. K. Lovell. (1994). Production Frontiers. Cambridge: Cambridge University Press.
23. Färe, R. and D. Primont. (1994). "The Unification of Ronald W. Shephard's Duality Theory." Journal of Economics (Zeitschrift-fur- Nationalokonomie) 60(2), 199-207.
24. Färe, R. and D. Primont. (1995). Multi-Output Production and Duality: Theory and Applications. Boston, London, Dordrecht: Kluwer Academic Publishers.
25. Farrell, M. J. (1957). "The Measurement of Productive Efficiency." Journal of Royal Statistical Society, Series A, 253-290.
26. Farrell, M. J. (1959). "Convexity assumption in theory of competitive markets." Journal of Political Economy 67, 377-391.
27. Førsund, F. R. and N. Sarafoglou. (2002). "On the Origins of Data Envelopment Analysis." Journal of Productivity Analysis 17(1-2), 23-40.
28. Fulginiti, L. and R. Perrin. (1993). "Theory and Measurement of Producer Response under Quotas." Review of Economics and Statistics 75(1), 97-106.
29. Hanoch, G. and M. Rothschild. (1972). "Testing the Assumptions of Production Theory: A Nonparametric Approach." Journal of Political Economy 80(2), 256-275.
30. Hotelling, H. (1932). "Edgeworth Taxation Paradox and the Nature of Supply and Demand Functions." Journal of Political Economy 30, 552-616.
31. Joshi, S. (1997). "Existence of Undiscounted Non-Stationary Non-Convex Multisector Environments." Journal of Mathematical Economics 28, 111-126.
32. Kuosmanen, T. (2001). "DEA with Efficiency Classification Preserving Conditional Convexity." European Journal of Operational Research 132(2), 326-342.
33. Kuosmanen, T. and G. T. Post. (2002). "Nonparametric Efficiency Analysis under Price Uncertainty: A First-Order Stochastic Dominance Approach." Journal of Productivity Analysis 17(3), 183-200.
34. Lau, L. J. (1974). "Applications of Duality Theory: Comments." In M. D. Intrilligator and D. A. Kendrick (eds.), Frontiers of Quantitative Economics, Vol. II. Amsterdam: North Holland, pp. 176-199.
35. Luenberger, D. G. (1992). "Benefit Functions and Duality." Journal of Mathematical Economics 21, 261-481.
36. McCabe, P. J. (1997). "Duality Theory with a Non-linear Constraint." Journal of Mathematical Economics 27, 295-313.
37. McFadden, D. (1978). "Cost, Revenue, and Profit Functions." In M. Fuss and D. McFadden (eds.), Production Economics: A Dual Approach to Theory and Applications, Vol. 2. Applications to the Theory of Production. Amsterdam: North Holland.
38. Minkowski, H. (1911). Theorie der Konvexen Körper. Gesammelte Abhandlungen II. Leipzig, Berlin: B.G. Teubner.
39. Neary, J. P. and K. W. S. Roberts. (1980). "The Theory of Household Behavior under Rationing." European Economic Review 13, 25-42.
40. Petersen, N. C. (1990). "Data Envelopment Analysis on a Relaxed Set of Assumptions." Management Science 36(3), 305-314.
41. Russell, R. R. (1998). "Distance Functions in Consumer and Producer Theory." In R. Färe, S. Grosskopf and R. R. Russell (eds.), Index Numbers: Essays in Honour of Sten Malmquist. Boston, London, Dordrecht: Kluwer Academic Publishers, pp. 7-90.
42. Samuelson, P. A. (1953-54). "Prices of Factors and Goods in General Equilibrium." Review of Economic Studies 21, 1-20.
43. Shephard, R. W. (1953). Cost and Production Functions. Princeton: Princeton University Press.
44. Shephard, R. W. (1970). Theory of Cost and Production Functions. Princeton: Princeton University Press.
45. Shephard, R. W. (1974). Indirect Production Functions, Mathematical Systems in Economics. No 10, Anton Hain Verlag: Meisenheim Am Glan.
46. Shephard, R. W. and R. Färe. (1980). Dynamic Theory of Production Correspondences. Cambridge, MA: Oelgeschlager, Gunn and Hain Publishers.
47. Shi, H. and X. Yang. (1995). "A New Theory of Industrialization. " Journal of Comparative Economics 20(2), 171-189.
48. Thrall, R. M. (1999). "What is the Economic Meaning of FDH?" Journal of Productivity Analysis 11(3), 243-250.
49. Tulkens, H. (1993). "On FDH Efficiency Analysis: Some Methodological Issues and Application to Retail Banking, Courts, and Urban Transit." Journal of Productivity Analysis 4(1), 183-210.
50. Varian, H. (1984). "The Nonparametric Approach to Production Analysis." Econometrica 52(3), 579-597.
51. Yang, X. (1994). "Endogenous vs. Exogenous Comparative Advantage and Economies of Specialization vs. Economies of Scale." Journal of Economics (Zeitschrift für Nationalökonomie) 60(1), 29-54.
52. Yang, X. and Y. K. Ng. (1993). Specialization and Economic Organization. Amsterdam: Elsevier Science.
53. Yang, X. and R. Rice. (1994). "An Equilibrium Model Endogenizing the Emergence of a Dual Structure between the Urban and Rural Sectors." Journal of Urban Economics 35(3), 346-368.
54. Young, D. L., R. C. Mittelhammer and A. Rostamizadeh. (1985). "Duality Theory and Applied Production Economics Research: A Pedagogical Treatise," Washington State University, Agriculture Research Center, Research Bulletin No. 0962, Washington.