Abstract
Scarcity is a fundamental problem faced by all economies. Not enough resources are available to produce all of the goods and services to satisfy human wants. According to a frequently cited definition of economics by Robbins [41, p. 16]: “Economics is the science which studies human behavior as a relationship between ends and scarce means which have alternative uses.” In the Concise Encyclopedia of Economics,1 this definition of economics is still used to define the subject today. Although this definition is simplified and “it cannot be understood as a complete list of topics belonging to economics, the scarcity principle certainly plays some role in all economic studies” [40, p. 13; translated by the author]. Scarce commodities are those which are both desired and not freely available. The scarcity of resources cannot be eliminated; rather, choices must be made about how resources will be used.
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References and Further Reading
K. J. Arrow, George Dantzig in the development of economic analysis, Discrete Optim., 5 (2008), 159–167.
J. L. Balintfy, Applications of mathematical programming to optimize human diets, Sympos. Math., XIX (1976), 313–339.
M. J. Beckmann, Comparative statics in linear programming and the Giffen paradox, Rev. Econ. Stud., 23 (1956), 232–235.
G. Cassel, Theory of Social Economy, rev. ed., Harcourt–Brace, NewYork, 1932; originally published in German, 1918.
A. Charnes,W.W. Cooper, and E. Rhodes, Measuring efficiency of decision making units, Eur. J. Oper. Res., 2 (1978), 429–444.
A. Charnes,W.W. Cooper, and L. M. Thrall, Classifying and characterizing efficiencies and inefficiencies in data envelopment analysis, Oper. Res. Lett., 5 -3 (1986), 105–110
H. Chenery and B. Raduchel, Substitution in planning models, in H. B. Chenery, ed., Studies in Development Planning, Harvard University Press, Cambridge, MA, 1971.
G. B. Dantzig, Programming in a Linear Structure, Office of the Comptroller, United States Air Force,Washington, DC, 1948.
G. B. Dantzig, Maximization of a linear function of variables subject to linear inequalities, in T. C. Koopmans, ed., Activity Analysis of Production and Allocation, Cowles Commission Monographs vol. 13,Wiley, NewYork, 1951, 330–347.
G. B. Dantzig, Reminiscences about the origins of linear programming, in A. Bachem, M. Grötschel, and B. Korte, eds., Mathematical Programming: The State of the Art: Bonn 1982, Springer-Verlag, Berlin, 1983, 78–86.
E. Dietzenbacher and M. L. Lahr, eds., Wassily Leontief and Input–Output Economics, Cambridge University Press, New York, 2004.
R. Dorfman, P. A. Samuelson, and R. M. Solow, Linear Programming and Economic Analysis, McGraw–Hill, New York, 1958.
R. Dorfman,Wassily Leontief’s contribution to economics, Swedish J. Econ., 75 (1973), 430–449.
E. J. Elton and M. J. Gruber, Modern Portfolio Theory and Investment Analysis, Wiley, New York, 1981.
M. J. Farrel, The measurement of technical efficiency, J. R. Statist. Soc. Ser.A, 120 -3 (1957), 253–281.
D. K. Foley,An InterviewwithWassily Leontief, Macroecon. Dynam., 2 (1998), 116–140.
D. Gale, The Theory of Linear Economic Models, McGraw–Hill, New York, 1960.
L. Johansen, A Multisectoral Study of Economic Growth, North-Holland, Amsterdam, 1960.
F. John, Extremum problems with inequalities as side conditions, in K. O. Fridrichs, O. E. Neugebauer, and J. J. Stoker, eds., Studies and Essays: Courant Anniversary Volume,Wiley, NewYork, 1948.
L. V. Kantorovic, Matematischeskije Metody Organizatsii i Planirovania Proizvodstva, Leningrad State University Publishers, Leningrad, USSR, 1939 (in Russian); Mathematical methods in the organization and planning of production, Manage. Sci., 6 -4 (1960), 366–422.
W. Karush, Minima of Functions of SeveralVariables with Inequalities as Side Conditions, M. S. thesis, Department of Mathematics, University of Chicago, Chicago, 1939.
T. C.Koopmans, ed., Activity Analysis of Production and Allocation, Cowles Commission Monographs vol. 13,Wiley, New York, 1951.
T. C. Koopmans, Concepts of optimality and their uses, Nobel Memorial Lecture, in A. Lindbeck, ed., Nobel Lectures in Economic Sciences 1969–1980, World Scientific, Singapore, 1992, 239–256.
H.W.Kuhn and A.W. Tucker, Nonlinear programming, in J. Neyman, ed., Proceedings of the Second Berkeley Symposium on Mathematical Statistics and Probability, University of California Press, Berkeley, CA, 1951, 481–492.
H. D. Kurz, E. Dietzenbacher, and C. Lager, eds., Input–Output Analysis, Edward Elgar, Cheltenham, UK, 1998.
M. L. Lahr and E. Dietzenbacher, eds., Input–Output Analysis: Frontiers and Extensions, Palgrave–Macmillan, NewYork, 2001.
W. W. Leontief, Quantitative input and output relations in the economic system of the United States, Rev. Econ. Statist., 18 (1936), 105–125.
W. W. Leontief, The Structure of American Economy, 1919–1929, Harvard University Press, Cambridge, MA, 1941.
W. W. Leontief, The Structure of American Economy, 1919–1939: An Empirical Application of Equilibrium Analysis, Oxford University Press, New York, 1951.
W.W. Leontief, Mathematics in economics, Bull. Amer. Math. Soc., 60 (1954), 215–233.
A. Lindbeck, ed., Nobel Lectures in Economic Sciences 1969–1980, World Scientific, Singapore, 1992.
M. Luptáčik, Geometrische Programmierung und ökonomische Analyse, Mathematical Systems in Economics vol. 32, Verlag Anton Hain, Meisenheim am Glan, Germany, 1977.
H. M. Markowitz, Portfolio selection, J. Finance, 7 (1952), 77–91.
H. M. Markowitz, Portfolio Selection: Efficient Diversification of Investments, Cowles Foundation Monographs vol. 16,Yale University Press, New Haven, CT, 1959.
R. E. Miller and P. D. Blair, Input–Output Analysis: Foundations and Extensions, Prentice–Hall, Englewood Cliffs, NJ, 1985.
W. Nicholson, Microeconomic Theory: Basic Principles and Extensions, 5th ed., Dryden Press/Harcourt–Brace–Jovanovich, NewYork, 1992.
A. Pigou, ed., Memorials of Alfred Marshall, Augustus M. Kelley Publishers, London, 1925.
Th. ten Raa, Linear Analysis of Competitive Economics, LSE Handbooks in Economics, Harvester Wheatsheaf, London, 1995.
Th. ten Raa, The Economics of Input–Output Analysis, Cambridge University Press, New York, 2005.
R. Richter, U. Schlieper, and W. Friedmann, Makroökonomik, 2nd ed., Springer-Verlag, Berlin, 1975.
L. Robbins, An Essay on the Nature and Significance of Economic Science, 2nd ed., MacMillan, London, 1935.
D. Ricardo, Principles of Political Economy and Taxation, reprint of the 3rd ed., Bell and Sons, London, 1924 (1st ed., 1817).
G. J. Stigler, The cost of substance, J. Farm Econ., 27 (1945), 303–314.
P. Schreiner, The role of input–output in the perspective analysis of the Norwegian economy, in A. Brody and A. P. Carter, eds., Input–Output Techniques: Proceedings of the 5th International Conference on Input–Output Techniques, Geneva, January 1971, North- Holland, Amsterdam, London, 1972.
J. Schumann, Input–Output Analyse, Springer-Verlag, Berlin, 1968.
S. Schaible, A survey of fractional programming, in S. Schaible and N. T. Ziemba, eds., Generalized Concavity in Optimization and Economics, Academic Press, New York, 1981, 417–440.
L. Walras, Elements d’economie politique pure, W. Jaffe, transl., George Allen/Unwin, London, 1954 (orignally published in French, 1874).
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Luptáčik, M. (2010). Scarcity and Efficiency. In: Mathematical Optimization and Economic Analysis. Springer Optimization and Its Applications, vol 36. Springer, New York, NY. https://doi.org/10.1007/978-0-387-89552-9_1
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