Non-parametric measurement of economies of scale and scope in non-competitive environment with price uncertainty

Omega (United Kingdom)

Volumn 41, Issue 1, 2013, Pages 97-111

  Sahoo, Biresh K ^a   Tone, Kaoru ^b  

^a XAVIER INSTITUTE OF MANAGEMENT   (India)

^b NATIONAL GRADUATE INSTITUTE FOR POLICY STUDIES   (Japan)

Author keywords

Data envelopment analysis; Economies of scale; Economies of scope; Multi stage production model; Process indivisibilities

Indexed keywords

COSTS; ECONOMICS; UNCERTAINTY ANALYSIS;

ECONOMIES OF SCOPE; ECONOMY OF SCALE; MEASUREMENTS OF; MULTI-STAGE PRODUCTION MODEL; MULTISTAGE PRODUCTION; PRICE UNCERTAINTY; PROCESS INDIVISIBILITY; PRODUCTION MODELS; PROPERTY; SCALE AND SCOPE;

DATA ENVELOPMENT ANALYSIS;

EID: 84866023141     PISSN: 03050483     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.omega.2011.11.008     Document Type: Article

References (94)

1. Aburzzi A. The production process: operation characteristics. Management Science 1965, 11:B98-B118.
2. Bakshi M.S., Arora S.R. The sequencing problem. Management Science 1969, 16:B247-B263.
3. Gold B. Changing perspectives on size, scale and returns: an interpretative survey. Journal of Economic Literature 1981, 19:5-33.
4. Førsund F.R. On the calculation of scale elasticity in DEA models. Journal of Productivity Analysis 1996, 7:283-302.
5. Sueyoshi T. Measuring efficiencies and returns to scale of Nippon telegraph and telephone in production and cost analyses. Management Science 1997, 43:779-796.
6. Sueyoshi T. DEA duality on returns to scale (RTS) in production and cost analyses: an occurrence of multiple solutions and differences between production-based and cost-based RTS estimates. Management Science 1999, 45:1593-1608.
7. Sahoo B.K., Mohapatra P.K.J., Trivedi M.L. A comparative application of data envelopment analysis and frontier translog production function for estimating returns to scale and efficiencies. International Journal of Systems Science 1999, 30:379-394.
8. Fukuyama H. Returns to scale and scale elasticity in data envelopment analysis. European Journal of Operational Research 2000, 125:93-112.
9. Fukuyama H. Returns to scale and scale elasticity in Farrell, Russell and additive models. Journal of Productivity Analysis 2001, 16:225-239.
10. Fukuyama H. Scale characterizations in a DEA directional technology distance function framework. European Journal of Operational Research 2003, 144:108-127.
11. Tone K., Sahoo B.K. Scale, indivisibilities and production function in data envelopment analysis. International Journal of Production Economics 2003, 84:165-192.
12. Tone K., Sahoo B.K. Degree of scale economies and congestion: a unified DEA approach. European Journal of Operational Research 2004, 158:755-772.
13. Tone K., Sahoo B.K. Cost efficiency and returns to scale in life insurance corporation of India using data envelopment analysis. Socio-Economic Planning Sciences 2005, 39:261-285.
14. Tone K., Sahoo B.K. Re-examining scale elasticity in DEA. Annals of Operations Research 2006, 145:169-187.
15. Førsund F.R., Hjalmarsson L. Calculating scale elasticity in DEA models. Journal of Operational Research Society 2004, 55:1023-1038.
16. Førsund F.R., Hjalmarsson L., Krivonozhko V., Utkin O.B. Calculation of scale elasticities in DEA models: direct and indirect approaches. Journal of Productivity Analysis 2007, 28:45-56.
17. Sueyoshi T., Sekitani K. Measurement of returns to scale using non-radial DEA model: a range-adjusted measure approach. European Journal of Operational Research 2007, 176:1918-1946.
18. Sueyoshi T., Sekitani K. The measurement of returns to scale under a simultaneous occurrence of multiple solutions in a reference set and a supporting hyperplane. European Journal of Operational Research 2007, 181:549-570.
19. Scarf H.E. Mathematical programming and economic theory. Operations Research 1990, 38:377-385.
20. Sahoo B.K., Sengupta J.K., Mandal A. Productive performance evaluation of the banking sector in India using data envelopment analysis. International Journal of Operations Research 2007, 4:63-79.
21. Sahoo B.K., Tone K. Decomposing capacity utilization in data envelopment analysis: an application to banks in India. European Journal of Operational Research 2009, 195:575-594.
22. Sahoo B.K., Tone K. Radial and non-radial decompositions of profit change: with an application to Indian banking. European Journal of Operational Research 2009, 196:1130-1146.
23. Färe R. Addition and efficiency. Quarterly Journal of Economics CI 1986, 861-865.
24. Grosskopf S, Hayes K, Yaisawarng S. Measuring economies of scope in farming: two alternative approaches. Discussion paper no. 87-14. Southern Illinois University at Carbondale; 1987.
25. Grosskopf S., Yaisawarng S. Economies of scope in the provision of local public services. National Tax Journal 1990, 43:61-74.
26. Fried H.O., Schmidt S.S., Yaisawarng S. Productive, scale and scope efficiencies in U.S. hospital-based nursing homes. INFOR 1998, 36:103-119.
27. Färe R., Grosskopf S. A nonparametric cost approach to scale efficiency. Scandinavian Journal of Economics 1985, 87:594-604.
28. Sengupta J.K., Sahoo B.K. Efficiency models in data envelopment analysis: techniques of evaluation of productivity of firms in a growing economy 2006, Palgrave Macmillan, London.
29. Sengupta J.K. A dynamic efficiency model using data envelopment analysis. International Journal of Production Economics 1999, 62:209-218.
30. Sengupta J.K. Economics of efficiency measurement by the DEA approach. Applied Economics 2002, 34:1133-1139.
31. Sengupta J.K. New efficiency theory: with application of data envelopment analysis 2003, Springer, New York.
32. Sengupta J.K. Estimating technical change by nonparametric methods. Applied Economics 2004, 36:413-420.
33. Sengupta J.K. The survivor technique and the cost frontier: a nonparametric approach. International Journal of Production Economics 2004, 87:185-193.
34. Sengupta J.K. Nonparametric efficiency analysis under uncertainty using data envelopment analysis. International Journal of Production Economics 2005, 95:39-49.
35. Sengupta J.K. Data envelopment analysis with heterogeneous data: an application. Journal of the Operational Research Society 2005, 56:676-686.
36. Du J., Liang L., Chen Y., Bi G.-b. DEA-based production planning. Omega: The International Journal of Management Science 2010, 38:105-112.
37. Tone K., Tutsui M. Dynamic DEA: a slacks-based measure approach. Omega: The International Journal of Management Science 2010, 38:145-156.
38. Fukuyama H., Weber W.L. A slacks-based inefficiency measure for a two-stage system with bad outputs. Omega: The International Journal of Management Science 2010, 38:398-409.
39. Cook W.D., Liang L., Zhu J. Measuring performance of two-stage network structures by DEA: a review and future perspective. Omega: The International Journal of Management Science 2010, 38:423-430.
40. Yu M.-M. Assessment of airport performance using the SBM-NDEA model. Omega: The International Journal of Management Science 2010, 38:440-452.
41. Liu J.S., Lu W.-M. DEA and ranking with the network-based approach: a case of R&D performance. Omega: The International Journal of Management Science 2010, 38:453-464.
42. Paradi J.C., Rouatt S., Zhu H. Two-stage evaluation of bank branch efficiency using data envelopment analysis. Omega: The International Journal of Management Science 2011, 39:99-109.
43. Amado C.A.F., Santos S.P., Marques P.M. Integrating the data envelopment analysis and the balanced scorecard approaches for enhanced performance assessment. Omega: The International Journal of Management Science 2012, 40:390-403.
44. Raja A.V. Task specific processes, idle capacity, and economies of scope. Indian Economic Journal 1994, 41:135-141.
45. Färe R., Whittaker G. An intermediate input model of diary production using complex survey data. Journal of Agricultural Economics 1995, 46:201-213.
46. Färe R., Grosskopf S. Intertemporal production frontiers: with dynamic DEA 1996, Kluwer Academic Publishers, Boston.
47. Baumol W.J., Panzar J.C., Willig R.D. Contestable markets and the theory of industrial structure 1982, Harcourt Brace Jovanovich, New York.
48. Farrell M.J. The measurement of productive efficiency. Journal of the Royal Statistical Society (Series A) 1957, 120:253-290.
49. Evans D., Heckman J. A test for subadditivity of the cost function with an application to the bell system. American Economic Review 1984, 74:615-623.
50. Färe R., Grosskopf S., Lovell C.A.K. Production frontiers 1994, Cambridge University Press, Cambridge.
51. Prior D. Technical efficiency and scope economies in hospitals. Applied Economics 1996, 28:1295-1301.
52. Morita H. Analysis of economies of scope by data envelopment analysis: comparison of efficient frontiers. International Transactions in Operation Research 2003, 10:393-402.
53. Cooper W.W., Thompson R.G., Thrall R.M. Extensions and new developments in DEA. Annals of Operations Research 1996, 66:3-45.
54. Dyson R.G., Allen R., Camanho A.S., Podinovski V.V., Sarrico C.S., Shale E.A. Pitfalls and protocols in DEA. European Journal of Operational Research 2001, 132:245-259.
55. Chamberlin E.H. The theory of monopolistic competition: a reorientation of the theory of value 1933, Harvard University Press, Cambridge.
56. Robinson J. The economics of imperfect competition 1933, Macmillan, London.
57. Engel C., Rogers J.H. How wide is the better?. American Economic Review 1996, 86:1112-1125.
58. Sandmo A. On the theory of the competitive firm under price uncertainty. American Economic Review 1971, 61:65-73.
59. McCall J.J. Competitive production for constant risk utility functions. Review of Economic Studies 1967, 34:417-420.
60. Camanho A.S., Dyson R.G. Cost efficiency measurement with price uncertainty: a DEA application to bank branch assessments. European Journal of Operational Research 2005, 161:432-446.
61. Kuosmanen T., Cherchye L., Sipilainen T. The law of one price in data envelopment analysis: restricting weight flexibility across firms. European Journal of Operational Research 2006, 170:735-757.
62. Briec W., Kerstens K., Vanden Eeckaut P. Non-convex technologies and cost functions: definitions, duality and nonparametric tests of convexity. Journal of Economics 2004, 81:155-192.
63. Thrall R.M. What is the economic meaning of FDH?. Journal of Productivity Analysis 1999, 11:243-250.
64. Scarf H.E. Production sets with indivisibilities part I: generalities. Econometrica 1981, 49:1-32.
65. Scarf H.E. Production sets with indivisibilities part II: the case of two activities. Econometrica 1981, 49:395-423.
66. Scarf H.E. Neighborhood systems for production sets with indivisibilities. Econometrica 1986, 54:507-532.
67. Scarf H.E. The allocation of resources in the presence of indivisibilities. Journal of Economic Perspectives 1994, 8:111-128.
68. Tulkens H. On FDH analysis: some methodological issues and applications to retail banking, courts and urban transit. Journal of Productivity Analysis 1993, 4:183-210.
69. Tulkens H., Vanden Eeckaut P. Non-parametric efficiency, progress and regress measures for panel data: methodological aspects. European Journal of Operational Research 1995, 80:474-499.
70. Bouhnik S., Golany B., Passy S., Hackman S.T., Vlatsa D.A. Lower bound restrictions on intensities in data envelopment analysis. Journal of Productivity Analysis 2001, 16:241-261.
71. Kuosmanen T. Duality theory of non-convex technologies. Journal of Productivity Analysis 2003, 20:273-304.
72. Yang X., Ng Y.K. Specialization and economic organization 1993, Elsevier Science, Amsterdam.
73. Yang X. Endogeneous vs. exogeneous comparative advantage and economics of specialization vs. economies of scale. Journal of Economics 1994, 60:29-54.
74. Yang X., Rice R. An equilibrium model endogenizing the emergence of a dual structure between the urban and rural sectors. Journal of Urban Economics 1994, 35:346-368.
75. Borland J., Yang X. Specialization, product development, evolution of the institution of the firm, and economic growth. Journal of Evolutionary Economics 1995, 5:19-42.
76. Shi H., Yang X. A new theory of industrialization. Journal of Comparative Economics 1995, 20:171-189.
77. Farrell.M.J. Convexity assumptions in theory of competitive markets. Journal of Political Economy 1959, 67:377-391.
78. Afriat S. Efficiency estimation of production functions. International Economic Review 1972, 13:568-598.
79. Hanoch G., Rothschild M. Testing assumptions in production theory: a nonparametric approach. Journal of Political Economy 1972, 80:256-275.
80. Varian H.R. The nonparametric approach to production analysis. Econometrica 1984, 52:279-297.
81. Cherchye L., Kuosmanen T., Post T. What is the economic meaning of FDH? A reply to Thrall. Journal of Productivity Analysis 2001, 13:259-263.
82. Cherchye L, Kuosmanen T, Post T. Why convexify? An assessment of convexity axioms in DEA. Helsinki School of Economics and Business Administration Working Paper W-270; 2000.
83. Camanho A.S., Dyson R.G. A generalization of the Farrell cost efficiency measure applicable to non-fully competitive settings. Omega: The International Journal of Management Science 2008, 36:147-162.
84. Cross R., Färe R. Farrell efficiency under value and quantity data. Journal of Productivity Analysis 2008, 29:193-199.
85. Tone K. A strange case of the cost and allocative efficiencies in DEA. Journal of Operational Research Society 2002, 53:1225-1231.
86. Fukuyama H., Weber W.L. Economic inefficiency measurement of input spending when decision-making units face different input prices. Journal of the Operational Research Society 2004, 55:1102-1110.
87. Färe R., Grosskopf S. Resolving a strange case of efficiency. Journal of the Operational Research Society 2006, 57:1366-1368.
88. Avkiran N.K. Association of DEA super-efficiency estimates with financial ratios: investing the case for Chinese banks. Omega: The International Journal of Management Science 2011, 39:323-334.
89. Premachandra I.M., Chen Y., Watson J. DEA a tool for predicting vorporate failure and success: a case of bankruptcy assessment. Omega: The International Journal of Management Science 2011, 39:620-626.
90. Chambers R.G., Färe R. A "calculus" for data envelopment analysis. Journal of Productivity Analysis 2008, 30:169-175.
91. Sahoo B.K. A non-parametric approach to measuring short-run expansion path. Journal of Quantitative Economics 2008, 6:137-150.
92. Sahoo B.K., Acharya D. An alternative approach to monetary aggregation in DEA. European Journal of Operational Research 2010, 204:672-682.
93. Sahoo B.K., Gstach D. Scale economies in Indian commercial banking sector: evidence from DEA and translog estimates. International Journal of Information Systems and Social Change 2011, 2:13-30.
94. Podinovski V.V., Førsund F.R. Differential characteristics of efficient frontiers in data envelopment analysis. Operations Research 2010, 58:1743-1754.