Abstract
A correspondence Q from a domain set X to a range set Y associates with each element x in X, a non-empty subset of Y, Q(x). A function is a correspondence such that Q(x) is a singleton for each x in X. It is for this reason that a correspondence is also termed a multi-valued function or, more simply, a multi-function. Another name for a correspondence is a set-valued mapping.
This is a preview of subscription content, log in via an institution to check access.
Bibliography
Barnett, W.A. 1983. New indices of money supply and the flexible Laurent demand system. Journal of Business and Economic Statistics 1, 7–23.
Christensen, L.R., Jorgenson, D.W. and Lau, L.J. 1971. Conjugate duality and the transcendental logarithmic production function. Econometrica 39, 255–6.
Christensen, L.R., Jorgenson, D.W. and Lau, L.J. 1973. Transcendental logarithmic production frontiers. Review of Economics and Statistics 55, 28–45.
Deaton, A. and Muellbauer, J. 1980. Economics and Consumer Behaviour. Cambridge: Cambridge University Press.
Diewert, W.E. 1971. An application of the Shephard duality theorem: a generalized Leontief production function. Journal of Political Economy 79, 481–507.
Diewert, W.E. 1974. Applications of duality theory. In Frontiers of Quantitative Economics, vol. 2, ed. M.D. Intriligator and D.A. Kendrick. Amsterdam: North-Holland, 106–171.
Diewert, W.E. 1982. Duality approaches to microeconomic theory. In Handbook of Mathematical Economics, vol. 2, ed. K.J. Arrow and M.D. Intriligator. Amsterdam: North-Holland.
Diewert, W.E. and Wales, T.J. 1986. Normalized quadratic systems of consumer demand functions. Discussion Paper No. 86–16, Department of Economics, University of British Columbia, Vancouver, Canada, May.
Diewert, W.E. and Wales, T.J. 1987. Flexible functional forms and global curvature conditions. Econometrica. 55, 43–68.
Fuss, M.A. 1977. Dynamic factor demand systems with explicit costs of adjustment. In Dynamic Models of the Industrial Demand for Energy, ed. E.R. Berndt, M. Fuss and L. Waverman. Palo Alto, CA: Electric Power Research Institute.
Fuss, M., McFadden, D. and Mundlak, Y. 1978. A survey of functional forms in the economic analysis of production. In Production Economics: A Dual Approach to Theory and Applications, vol. 1, ed. M. Fuss and D. McFadden. Amsterdam: North-Holland.
Gorman, W.M. 1953. Community preference fields. Econometrica 21, 63–80.
Gorman, W.M. 1976. Tricks with utility functions. In Essays in Economic Analysis, ed. M. Artis and R. Nobay. Cambridge: Cambridge University Press.
Hicks, J.R. 1942. Consumers’ surplus and index-numbers. Review of Economic Studies 9, 126–37.
Hicks, J.R. 1946. Value and Capital. 2nd edn. Oxford: Clarendon Press.
Jorgenson, D.W. 1984. Econometric methods for modeling producer behaviour. Discussion Paper No. 1086, Harvard Institute for Economic Research, Harvard University, Cambridge, MA. In Handbook of Econometrics, vol. 3, ed. Z. Griliches and M.D. Intriligator. Amsterdam: North-Holland.
Karlin, S. 1959. Mathematical Methods and Theory in Games, Programming and Economics, vol. 1. Palo Alto, CA: Addison-Wesley.
King, M.A. 1983. Welfare analysis of tax returns using household data. Journal of Public Economics 21, 183–214.
Lau, L.J. 1978. Testing and imposing monotonicity, convexity and quasi-convexity constraints. In Production Economics: A Dual Approach to Theory and Applications, vol. 1, ed. M. Fuss and D. McFadden. Amsterdam: North-Holland.
McFadden, D. 1966. Cost, revenue and profit functions: a cursory review. Working Paper No. 86, IBER, University of California at Berkeley, March.
McFadden, D. 1978a. Cost, revenue and profit functions. In Production Economics: A Dual Approach to Theory and Applications, vol. 1, ed. M. Fuss and D. McFadden. Amsterdam: North-Holland.
McFadden, D. 1978b. The general linear profit function. In Production Economics: A Dual Approach to Theory and Applications, vol. 1, ed. M. Fuss and D. McFadden. Amsterdam: North-Holland.
McKenzie, L. 1957. Demand theory without a utility index. Review of Economic Studies 24, 185–9.
Samuelson, P.A. 1947. Foundations of Economic Analysis. Cambridge, MA.: Harvard University Press.
Samuelson, P.A. 1974. Complementarity - an essay on the 40th anniversary of the Hicks-Allen revolution in demand theory. Journal of Economic Literature 12, 1255–89.
Shephard, R.W 1953. Cost and Production Functions. Princeton: Princeton University Press.
Shephard, R.W. 1970. Theory of Cost and Production Functions. Princeton: Princeton University Press.
Uzawa, H. 1964. Duality principles in the theory of cost and production. International Economic Review 5, 216–20.
Editor information
Copyright information
© 2008 Palgrave Macmillan, a division of Macmillan Publishers Limited
About this entry
Cite this entry
Khan, M.A. (2008). Correspondences. In: Durlauf, S.N., Blume, L.E. (eds) The New Palgrave Dictionary of Economics. Palgrave Macmillan, London. https://doi.org/10.1007/978-1-349-58802-2_326
Download citation
DOI: https://doi.org/10.1007/978-1-349-58802-2_326
Published:
Publisher Name: Palgrave Macmillan, London
Print ISBN: 978-0-333-78676-5
Online ISBN: 978-1-349-58802-2