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Recent Economic Models in Applied Optimal Control

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Part of the book series: Theory and Decision Library ((TDLB,volume 2))

Abstract

Recent economic applications of optimal and adaptive control theory have increased our understanding of the meaning of optimality in a dynamic horizon e.g., the shadow prices or adjoint variables along the optimal trajectory, their stability properties and the implications of a steady state value. Optimal control models are now increasingly applied to newer areas of economic theory, of which some illustrative examples would be discussed here as follows:

  1. A.

    Models of differential market games,

  2. B.

    Stabilization policy in cartelized markets,

  3. C.

    Adaptive controls in economic models and,

  4. D.

    Models of renewable resources under uncertainty.

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References

  1. Milgrom, P and J. Roberts. Limit pricing and entry under incomplete information. Econometrica 50 (1982), 443–460

    Article  MATH  Google Scholar 

  2. Dixit, A. The role of investment in entry deterrence. Economic Journal 90 (1980), 95–106

    Article  Google Scholar 

  3. Sengupta, J.K. Optimal control in limit pricing under uncertain entry, in Information and Efficiency in Economic Decision, Dordrecht: Martinus Nijhoff, 1985

    Google Scholar 

  4. Kreps, D.M. and A.M. Spence. Modelling the role of history in industry organization and competition, in Issues in Contemporary Microeconomics and Welfare, Albany: State University of New York Press, 1985

    Google Scholar 

  5. Kamien, M.I. and N.L. Schwartz. Conjectural variations. Canadian Journal of Economics 16 (1983), 191–211

    Article  Google Scholar 

  6. Fershtman, C. and M.I. Kamien. Conjectural equilibrium and strategy spaces in differential games, in G. Feichtinger ed. Optimal Control Theory and Economic Analysis, vol. 2, New York: Elsevier Science Publishers, 1985

    Google Scholar 

  7. Starr, A.W. and Y.C. Ho. Nonzero-sum differential games. Journal of Optimization Theory and Application 3 (1969), 184–208

    Article  MathSciNet  MATH  Google Scholar 

  8. Bresnahan, T.F. Duopoly models with consistent conjectures. American Economic Review 71 (1981), 934–945

    Google Scholar 

  9. Harsanyi, J.C. Solution concepts in game theory. International Journal of Game Theory 5 (1975), 39–54

    Google Scholar 

  10. Aumann, R.J. Subjectivity and correlation in randomized strategies. Journal of Mathematical Economics 1 (1974), 67–96

    Article  MathSciNet  MATH  Google Scholar 

  11. Moulin, H. Cooperation in mixed equilibrium. Mathematics of Operations Research 1 (1976), 273–286

    Article  MathSciNet  MATH  Google Scholar 

  12. Sengupta, J.K. Constrained nonzero sum games with partially controllable strategies. Journal of Optimizaiton Theory and Applications 31 (1980), 50–62

    Google Scholar 

  13. Restrepo, R.A. Games with a random move, in: M. Dresher et. al. eds. Advances in Game Theory. Princeton: Princeton University Press, 1964, 29–38

    Google Scholar 

  14. Tintner, G. and J.K. Sengupta. Stochastic Economics. New York: Academic Press, 1972

    MATH  Google Scholar 

  15. Bharucha-Reid, A.T. Elements of the Theory of Markov Processes and Their Applications. New York: McGraw Hill, 1960

    MATH  Google Scholar 

  16. Brock, W.A. On models of expectations that arise from maximizing behavior of economic agents over time. Journal of Economic Theory 5 (1972), 348–376

    Article  MathSciNet  Google Scholar 

  17. Newbery, D.M.G. Commodity price stabilization in imperfect or cartelized markets. Econometrica 52 (1984), 563–578

    Article  MATH  Google Scholar 

  18. Goreux, L.M. Optimal Rule for Buffer Stock Intervention. Mimeographed Report, IMF Research Department DM/78/7, Washington, D.C., 1978

    Google Scholar 

  19. Nguyen, D.T. The effects of partial price stabilization on export earnings instability and level, in: Commodities, Finance and Trade: Issues in North-South Negotiations. Westport, Connecticut: Greenwood Press, 1980

    Google Scholar 

  20. Hughes-Hallett, A.J. Commodity Market Stabilization and North-South Income Transfers: An Empirical Investigation. Unpublished Paper, December 1984

    Google Scholar 

  21. Whittle, P. Risk-sensitive Linear quadratic Gaussian control. Advances in Applied Probability 13 (1981), 764–777

    Article  MathSciNet  MATH  Google Scholar 

  22. Geer, T. An Oligopoly: The World Coffee Economy and Stabilization Schemes. New York: Dunellen, 1971

    Google Scholar 

  23. Reynolds, P.D. International Commodity Agreements and the Common Fund. New York: Praeger Publishers, 1978

    Google Scholar 

  24. Calmfors, L. Long run effects of short-run stabilization policy: an introduction to a symposium. Scandinavian Journal of Economics 84 (1982), 133–146

    Article  Google Scholar 

  25. Narendra, K.S. and R.V. Monopoli eds. Applications of Adaptive Control. New York: Academic Press, 1980

    MATH  Google Scholar 

  26. Sengupta, J.K. Information and Efficiency in Economic Decision. Dordrecht: Martinus Nijhoff Publishers, 1985

    Google Scholar 

  27. Taylor, J.B. Methods of efficient parameter estimation in control problems. Annuals of Economic and Social Measurement 5 (1976), 339–347

    Google Scholar 

  28. Stenlund, H. On the estimation versus control problem in cautions control, in: Brannas, D. et. al. eds. Econometrics and Stochastic Control in Macroeconomic Planning. Stockholm: Almqvist and Wiksell, 1981

    Google Scholar 

  29. Clarke, D.W. Some implementation considerations of self-tuning controllers, in: F. Archetti and M. Cugiani eds. Numerical Techniques for Stochastic Systems. Amsterdam: North Holland, 1980

    Google Scholar 

  30. Keyser, R.M.C. and A.R. van Cauwenberghe. Self-tuning prediction and control. International Journal of Systems Science 14 (1983), 147–168

    Article  MATH  Google Scholar 

  31. Astrom, K.J. and B. Wittenmark. On Self-tuning regulators. Automatica 9 (1973), 185–200

    Article  Google Scholar 

  32. Clarke, D.W. and P.J. Gawthrop. Self-tuning controller. Proceedings of IEEE Society 122 (1975), 929–934

    Google Scholar 

  33. Mangel, M. Decision and Control in Uncertain Resource Systems. New York: Academic Press, 1985

    MATH  Google Scholar 

  34. Gleit, A. Optimal harvesting in continuous time with stochastic growth. Mathematical Bioscience 41 (1978), 111–123

    Article  MathSciNet  MATH  Google Scholar 

  35. Mendelssohn, R. A systematic approach to determining mean-variance trade-offs when managing randomly varying populations. Mathematical Bioscience 50 (1980), 75–84

    Article  MathSciNet  MATH  Google Scholar 

  36. Baba, N. Use of learning automata for stochastic games with incomplete information. International Journal of Systems Science 17 (1986), 129–140

    Article  MATH  Google Scholar 

  37. Pindyck, R.S. Uncertainty in the theory of renewable resource markets. Review of Economic Studies 51 (1984), 289–303

    Article  MATH  Google Scholar 

  38. Clark, C. Restricted access to common property fishery resources: a game-theoretic analysis, in: P. Liu ed. Dynamic Optimization and Mathematical Economics. New York: Plenum Press, 1980

    Google Scholar 

  39. Chen, Y.C. and N.U. Ahmed. An application of optimal control theory in fisheries management. International Journal of Systems Science 14 (1983), 453–462

    Article  MathSciNet  MATH  Google Scholar 

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© 1986 Springer Science+Business Media Dordrecht

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Sengupta, J.K. (1986). Recent Economic Models in Applied Optimal Control. In: Stochastic Optimization and Economic Models. Theory and Decision Library, vol 2. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-3085-3_3

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  • DOI: https://doi.org/10.1007/978-94-017-3085-3_3

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-8426-2

  • Online ISBN: 978-94-017-3085-3

  • eBook Packages: Springer Book Archive

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