Chapter 18 Duality for the household: Theory and applications

Handbook of Agricultural Economics

Volumn 1, Issue PART B, 2001, Pages 1025-1081

  LaFrance, Jeffrey T ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Q11

Indexed keywords

EID: 70350118026     PISSN: 15740072     EISSN: None     Source Type: Book Series    
DOI: 10.1016/S1574-0072(01)10026-5     Document Type: Review

References (63)

1. Alexandroff A.D. Almost everywhere existence of the second differential of a convex function and some properties of convex surfaces connected with it. Leningrad State University Annals, Mathematics Series 6 (1939) 3-35
2. Arrow K.J., and Debreu G. Existence of an equilibrium for a competitive economy. Econometrica 22 (1954) 265-290
3. Arrow K.J., and Enthoven A.C. Quasi-concave programming. Econometrica 29 (1961) 779-800
4. Barnett W.A. Pollak and Wachter on the household production function approach. Journal of Political Economy 85 (1977) 1073-1082
5. Barten A., and Böhm V. Consumer theory. In: Arrow K., and Intriligator M. (Eds). Handbook of Mathematical Economics Vol. II (1982), North-Holland, Cambridge 381-427
6. Becker G.S. A theory of the allocation of time. The Economic Journal 75 (1965) 493-517
7. Blackorby C., Primont D., and Russell R.R. Duality, Separability and Functional Structure: Theory and Economic Applications (1978), North-Holland, New York
8. Bowen R. A new proof of a theorem in utility theory. International Economic Review 9 (1968) 374
9. Browning M. A simple nonadditive preference structure for models of household behavior over time. Journal of Political Economy 99 3 (1991) 607-637
10. Cooper R.J., and McLaren K.R. Atemporal, temporal and intertemporal duality in consumer theory. International Economic Review 21 (1980) 599-609
11. Deaton A. Demand analysis. In: Griliches Z., and Intriligator M. (Eds). Handbook of Econometrics Vol. III (1986), North-Holland, New York 1767-1839
12. Deaton A., and Muellbauer J. Economics and Consumer Behavior (1980), Cambridge University Press, New York
13. Debreu G. Representation of a preference ordering by a numerical function. In: Thrall R.M., et al. (Ed). Decision Processes (1954), John Wiley & Sons, Cambridge 159-164
14. Debreu G. Theory of Value (1959), Yale University Press, New York
15. Debreu G. Continuity properties of Paretian utility. International Economic Review 5 (1964) 285-293
16. Diewert W.E. Applications of duality theory. In: Intriligator M.D., and Kendrick D.A. (Eds). Frontiers of Quantitative Economics Vol. II (1974), North-Holland, New Haven 106-171
17. Eilenberg S. Ordered topological spaces. American Journal of Mathematics 63 (1941) 39-45
18. Engle R., Hendry D., and Richard J.-F. Exogeneity. Econometrica 51 (1983) 277-304
19. Epstein L.G. Duality theory and functional forms for dynamic factor demands. Review of Economic Studies 19 (1981) 81-95
20. Epstein L.G. Comparative dynamics in the adjustment-cost model of the firm. Journal of Economic Theory 27 (1982) 77-100
21. Epstein L.G., and Denny M.G.S. The multivariate flexible accelerator model: Its empirical restrictions and an application to U.S. manufacturing. Econometrica 51 (1983) 647-674
22. Fisher F.M., and Shell K. Taste and quality change in the pure theory of the true cost of living index. In: Griliches Z. (Ed). Price Indexes and Quality Changes: Studies in New Methods of Measurement (1971), Harvard University Press, Amsterdam
23. Goldman S.M., and Uzawa H. A note on separability in demand analysis. Econometrica 32 (1964) 387-398
24. Gorman W.M. A possible procedure for analyzing quality differentials in the egg market. Unpublished mimeo presented to the American Farm Economics Association's annual meeting in Ames. Iowa. Published in the Review of Economic Studies 47 (1956-1980) 843-856
25. Gorman W.M. The concavity of additive utility functions. In: Blackorby C., and Shorrocks A.F. (Eds). Unpublished mimeo (University of North Carolina). Published as Chapter 9. Separability and Aggregation: Collected Works of W.M. Gorman Vol. I (1970-1995), Clarendon Press, Cambridge 127-136
26. In: Griliches Z. (Ed). Price Indexes and Quality Change (1971), Harvard University Press, Oxford
27. Hall R.E. The specification of technology with several kinds of output. Journal of Political Economy 81 (1973) 878-892
28. Hannemann W.M. Quality and demand analysis. In: Rausser G.C. (Ed). New Directions in Econometric Modeling and Forecasting in U.S. Agriculture (1980), Elsevier Science, Cambridge
29. Hendry D.F. Dynamic Econometrics (1995), Oxford University Press, New York
30. Hotelling H. Edgeworth's taxation paradox and the nature of demand and supply functions. Journal of Political Economy 40 (1932) 577-616
31. Houthakker H. Compensated changes in quantities and qualities consumed. Review of Economic Studies 19 (1951-1952) 155-164
32. Jorgenson D.W. Econometric methods for modeling producer behavior. In: Griliches Z., and Intriligator M. (Eds). Handbook of Econometrics Vol. III (1986), North-Holland, Oxford 1841-1915
33. Jorgenson D.W., and Lau L.J. The duality of technology and economic behavior. Review of Economic Studies 41 (1974) 181-200
34. Katzner D.W. Static Demand Theory (1970), Macmillan, New York
35. LaFrance J.T., and Barney L.D. The envelope theorem in dynamic optimization. Journal of Economic Dynamics and Control 15 (1991) 355-385
36. Lancaster K.J. A new approach to consumer theory. Journal of Political Economy 74 (1966) 132-157
37. Lancaster K.J. Consumer Demand: A New Approach (1971), Columbia University Press, London
38. Lau L.J. Duality and the structure of utility functions. Journal of Economic Theory 1 (1970) 374-396
39. Lau L.J. Applications of duality theory: A comment. In: Intriligator M.D., and Kendrick D.A. (Eds). Frontiers of Quantitative Economics Vol. II (1974), North-Holland, New York 176-189
40. Lau L.J. Complete systems of consumer demand functions through duality. In: Intriligator M.D. (Ed). Frontiers of Quantitative Economics Vol. III (1976), North-Holland, Amsterdam 59-85
41. Lluch C. The extended linear expenditure system. European Economic Review 4 (1973) 21-32
42. Lucas R.E. Hedonic price functions. Economic Inquiry 13 (1975) 157-178
43. McFadden D.L. Cost, revenue, and profit functions. In: McFadden D.L. (Ed). An Econometric Approach to Production Theory (1973), North-Holland, Amsterdam
44. McLaren K.J., and Cooper R.J. Intertemporal duality: Application to the theory of the firm. Econometrica 48 (1980) 1755-1762
45. Michael R.T., and Becker G.S. On the new theory of consumer behavior. Swedish Journal of Economics 75 (1973) 378-396
46. Muellbauer J. Household production theory, quality, and the 'hedonic technique'. American Economic Review 64 (1974) 977-994
47. Muth R.F. Household production and consumer demand functions. Econometrica 34 (1966) 699-708
48. Nadiri M.I. Producers theory. In: Arrow K.J., and Intriligator M.D. (Eds). Handbook of Mathematical Economics Vol. II (1982), North-Holland, Amsterdam 431-490
49. Oniki H. Comparative dynamics (sensitivity analysis) in optimal control theory. Journal of Economic Theory 6 (1973) 265-283
50. Pashardes P. Myopic and forward looking behavior in a dynamic demand system. International Economic Review 27 (1986) 387-397
51. Pollak R.A., and Wachter M.L. The relevance of the household production function and its implications for the allocation of time. Journal of Political Economy 83 (1975) 255-277
52. Pollak R.A., and Wachter M.L. Reply: 'Pollak and Wachter on the household production function approach'. Journal of Political Economy 85 (1977) 1083-1086
53. Pollak R.A., and Wales T.J. Demographic variables in demand analysis. Econometrica 49 (1981) 1533-1551
54. Rader T. The existence of a utility function to represent preferences. Review of Economic Studies 30 (1963) 229-232
55. Rockafellar R.T. Convex Analysis (1970), Princeton University Press, New York
56. Rosen S. Hedonic prices and implicit markets: Product differentiation in pure competition. Journal of Political Economy 82 (1974) 34-54
57. Samuelson P.A. Foundations of Economic Analysis (1947), Harvard University Press, Princeton
58. Samuelson P.A. The fundamental singularity theorem for non-joint production. International Economic Review 7 (1966) 34-41
59. Shephard R. Theory of Cost and Production Functions (1953), Princeton University Press, Cambridge, MA
60. Spinnewyn F. Rational habit formation. European Economic Review 15 (1981) 91-109
61. Theil H. Qualities, prices and budget inquiries. Review of Economic Studies 19 (1951-1952) 129-147
62. Uzawa H. Duality principles in the theory of cost and production. International Economic Review 5 (1964) 216-220
63. Waugh F.V. Quality factors influencing vegetable prices. Journal of Farm Economics 10 (1928) 185-196