References
Aliprantis, C.D., Brown, D.J. and Burkinshaw, O, 1990,Existence and Optimality of Competitive Equilibria, Springer Verlag.
Apostol, Tom M., 1957,Mathematical Analysis, Addison-Wesley.
Arrow, K.J. and Hahn, F.H., 1971,General Competitive Analysis, Holden-Day.
Balasko, Yves, 1988,Foundations of the Theory of General Equilibrium, Academic Press.
Bassett, L., Maybee, J. and Quirk, J., 1968, Qualitative economics and the scope of correspondence principle,Econometrica 36, 544–563.
Bailey, A.D., Kiang, Y., Kuipers, B. and Whinston, A.B., 1991, Analytic procedures and qualitative reasoning in auditing, In:Applications in Management Science, JAI Press.
Balakrishnan, A. and Whinston, A.B., 1991, Information issues in model specification,Information Systems Research 2(4), 263–286.
Berndsen, R. and Daniels, H., 1991, Qualitative economics: An implementation in PROLOG,Computer Science in Economics and Management 4, 1–13.
Bobrow, D.G., ed., 1985, Reasoning about physical systems. MIT Press, Cambridge, MA.
Bridgeland, D.M., 1989, Qualitative simulation extensions for supporting economics models, MCC Technical Report Number ACT-AI-328-89, Austin, Texas.
Brouwer, F., Maybee, J., Nijkamp, P. and Voogd, H., 1989, Sign-solvability in economic models through plausible restrictions,atlantic Economic Journal 17, 21–26.
Charnes, A., Cooper, W.W. and Rhodes, E., 1981, Evaluating program and managerial efficiency: An application of data envelope analysis to program follow through,Management Science 27(6), 668–697.
Charnes, A., Cooper, W.W., Golany, B., Seiford, L. and Stutz, J., 1985, Foundations of data envelope analysis for Pareto-Koopmans efficient empirical production functions,Journal of Econometrics 30, 91–107.
Crawford, J., Farquhar, A. and Kuipers, B., 1990, QPC: A compiler from physical models into qualitative differential equations. In:Proceedings of the National Conference on Artificial Intelligence (AAAI-90), Lost Altos, CA.
Dalle Molle, D.T. and Edgar, T.F., 1989, Qualitative modeling of chemical reaction systems. In: Mavrovouniotis, M., (ed.),Artificial Intelligence Applications in Process Engineering, Academic Press.
Daniels, H.A.M. and Feelders, A.J., 1991, Combining qualitative and quantitative methods for modelbased diagnosis of firms, Working Paper, Tilburg University.
Davis, E., 1987, Constraint propagation with interval labels,Artificial Intelligence 32, 281–331.
Debreu, Gerard, 1959,Theory of Value, John Wiley & Sons.
de Kleer, J. and Browne, J.S., 1984, A qualitative physics based on confluences,Artificial Intelligence 24, 7–83.
de Kleer, J. and Williams, B.C., 1987, Diagnosing multiple faults,Artificial Intelligence 24, 97–130.
Farley, A.M. and Lin, K.P., 1990, Qualitative reasoning in economics,Journal of Economic Dynamics and Control 14, 465–490.
Fontaine, P., Garbely, M. and Gilli, M., 1991, Qualitative solvability in economic models,Computer Science in Economics and Management 4, 285–301.
Forbus, K.D., 1984, Qualitative process theory,Artificial Intelligence 24, 85–168.
Forbus, K.D., 1990, The qualitative process engine, in J. de Kleer, and D. Wald (eds.),Readings in Qualitative Reasoning about Physical Systems, Morgan Kaufman.
Fouché, P. and Kuipers, B., 1991, Abstracting irrelevant distinctions in qualitative simulation. In:Proceedings of the Fifth International Workshop in Qualitative Reasoning about Physical Systems (OR-91).
Gorman, W.M., 1964, More scope of qualitative economics,Review of Economic Studies 31, 65–68.
Hanoch, G. and Rothschild, M., 1972, Testing the assumptions of production theory: A nonparametric approach,Journal of Political Economy 80(2), 256–275.
Hentenryck van, P., 1989,Constraint Satisfaction in Logic Programming, MIT Press.
Hildenbrand, Werner (1974),Core and Equilibria of a Large Economy, Princeton University Press.
Hinkkanen, A., Lang, K.R. and Whinston, A.B., 1994, On the usage of qualitative reasoning as approach towards enterprise modeling. Gaul, W., Radermacher, F.J., Schader, M. and Solte, D., eds.,Annals of Operations Research 54, special issue: Data, Expert Knowledge and Decisions.
Iwasaki, Y. and Simon, H.A., 1986, Causality in device behavior,Artificial Intelligence 29, 3–32.
Kalagnanam, J., 1990, Integration of symbolic and numeric methods for qualitative reasoning, Tech. Report CMU-EPP-1991-01-01, Dept. of Engineering and Public Policy, Carnegie Mellon University.
Kuipers, B. 1985, The limits of qualitative simulation. In:Proceeding of Ninth International Joint Conference on Artificial Intelligence (IJCAI-85), William Kaufman, CA.
Kuipers, B., 1986, Qualitative simulation,Artificial Intelligence 29, 289–338.
Kuipers, B., 1987, Abstraction by time-scale in qualitative simulation. In:Proceedings of the National Conference on Artificial Intelligence (AAAI-90), Lost Altos, CA.
Kuipers, B. and Kassirer, J.P., 1984, Causal reasoning in medicine: Analysis of a Protocol, Cognitive Science8, 363–385.
Kuipers, B. and Chiu, C., 1987, Taming intractable branching in qualitative simulation. In:Proceeding of Eleventh International Joint Conference on Artificial Intelligence (IJCAI-87), William Kaufman, Los Altos, CA.
Kuipers, B. and Berleant, D., 1990, A smooth integration of incomplete quantitative knowledge into qualitative simulation, Tech. Report AI90-122, Artificial Intelligence Laboratory, The University of Texas at Austin.
Lancaster, K.J., 1962, The scope of qualitative economics,Review of Economic Studies 29, 99–123.
Leler, W., 1988,Constraint Programming Languages, Addison-Wesley.
Lin, K.P. and Farley, A.M., 1991, Qualitative economic reasoning: A disequilibrium perspective,Computer Science in Economics and Management 4, 117–134.
Mavrovounitis, M.L. and Stephanopoulos, G., 1988, Formal Order-of-Magnitude Reasoning in Process Engineering,Computer Chemical Engineering 12, 867–880.
Michael, E., 1956, Continuous Selections, I,Ann. Math. 63, 361–82.
Michael, E., 1970, A Survey of Continuous Selections, in: Fleischman, W.M., ed.,Set-Valued Mappings, Selections and Topological Properties of 2 X. Lecture Notes in Math. No. 171, Springer-Verlag.
Moore, James C., 1988, Lower hemi-continuous and continuous correspondences, and maximum theorems. Notes distributed to Economics 660, Fall, 1988, Purdue University.
Moore, J.C., Rao, H.R. and Whinston, A.B., 1992, Information processing for a finite resource allocation mechanism. Center for the Management of Manufacturing Enterprises, Purdue University; Working Paper No. 92-9-1.
Moore, J.C. and Whinston, A.B., 1986, A Model of Decision-Making with Sequential Information-Acquisition (Part 1),Decision Support Systems 2, 285–307.
Paul, L.F. and Gianotti, C., 1990,Economic and Financial Knowledge-Based Processing, Springer Verlag.
Quirk, J. and Saposnik, R., 1968,Introduction to General Equilibrium Theory and Welfare Economics, McGraw-Hill.
Raiman O., 1988, Order of Magnitude Reasoning. In:Proceedings of the National Conference on Artificial Intelligence (AAAI-88), Lost Altos, CA.
Ritschard, G., 1983, Computable qualitative comparative static techniques,Econometrica 51, 1145–1168.
Roddis, K. and Martin, J.L., 1991, Qualitative reasoning about steel bridge fatigue and fracture. In:Proceedings of the Fifth International Workshop in Qualitative Reasoning about Physical Systems (QR-91).
Sacks, E., 1987, Hierarchical Reasoning about inequalities. In:Proceedings of the National Conference on Artificial Intelligence (AAAI-87), Lost Altos, CA.
Samuelson, P.A., 1947,Foundations of economic analysis, Harvard University Press.
Simon, H., Kalagnanam, J. and Iwasaki, Y., 1991, The mathematical bases for qualitative reasoning,IEEE Expert, April 1991.
Shapiro G.P. and Frawley, W.J., eds., 1991, Knowledge discovery in databases, AAAI Press/The MIT Press, Menlo Park, CA.
Weld, Daniel S., 1988, Comparative Analysis,Artificial Intelligence 36, 333–373.
Weld, D.S. and de Kleer, J., eds., 1990, Reading in qualitative reasoning about physical systems, Morgan Kaufman, San Mateo, CA.
Williams, B., 1984, Qualitative Analysis of MOS Circuits,Artificial Intelligence 24, 281–346.
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Lang, K.R., Moore, J.C. & Whinston, A.B. Computational systems for qualitative economics. Comput Econ 8, 1–26 (1995). https://doi.org/10.1007/BF01298495
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DOI: https://doi.org/10.1007/BF01298495