Feedback Nash equilibria in a problem of optimal fishery management
Tóm tắt
The paper deals with a problem of optimal management of a common-property fishery, modelled as a two-player differential game. Under nonclassical assumptions on harvest rates and utilities, a feedback Nash equilibrium is determined, using a bionomic equilibrium concept. Later on, this assumption is relaxed and a feedback Nash equilibrium is established under minimal hypotheses.
Tài liệu tham khảo
Jørgensen, S.,An Exponential Differential Game Which Admits a Simple Nash Solution, Journal of Optimization Theory and Applications, Vol. 45, pp. 383–396, 1985.
Clark, C. W.,Mathematical Bioeconomics: The Optimal Management of Renewable Resources, John Wiley and Sons, New York, New York, 1976.
Chiarella, C., Kemp, M. C., Van Long, N., andOkuguchi, K.,On the Economics of International Fisheries, International Economic Review, Vol. 25, pp. 85–92, 1984.
Levhari, D., andMirman, L. J.,The Great Fish War: An Example Using a Dynamic Nash-Cournot Solution, Bell Journal of Economics, Vol. 11, pp. 322–334, 1980.
Schaefer, M. B.,A Study of the Dynamics of the Fishery for Yellowfin Tuna in the Eastern Tropical Pacific Ocean, Bulletin of the Inter-American Tropical Tuna Commission, Vol. 2, pp. 247–285, 1957.
Allen, P. M., andMcGlade, J. M.,Modelling Complex Human Systems: A Fisheries Example, European Journal of Operational Research, Vol. 30, pp. 147–167, 1987.
Lewis, T. R., andSchmalensee, R.,Nonconvexity and Optimal Harvesting Strategies for Renewable Resources, Canadian Journal of Economics, Vol. 12, pp. 677–691, 1979.
Lewis, T. R., andSchmalensee, R.,Optimal Use of Renewable Resources with Nonconvexities in Production, Essays in the Economics of Renewable Resources, Edited by L. J. Mirman and D. F. Spulber, North-Holland Publishing Company, Amsterdam, The Netherlands, pp. 95–111, 1982.
Lewis, T. R.,Exploitation of a Renewable Resource under Uncertainty, Canadian Journal of Economics, Vol. 14, pp. 422–439, 1981.
Mundy, P. R., andMathiesen, O. A.,Abundance Estimation in a Feedback Control System Applied to the Management of a Commercial Salmon Fishery, Applied Operations Research in Fishing, Edited by K. B. Haley, Plenum Press, New York, New York, 1981.
Clemhout, S., andWan, H. Y.,Cartelization Conserves Endangered Species? Optimal Control Theory and Economic Analysis 2, Edited by G. Feichtinger, North-Holland Publishing Company, New York, New York, pp. 549–568, 1985.
Clemhout, S., andWan, H. Y.,Dynamic Common Property Resources and Environmental Problems, Journal of Optimization Theory and Applications, Vol. 46, pp. 471–481, 1985.
Clark, C. W.,Restricted Access to Common-Property Fishery Resources: A Game Theoretic Analysis, Dynamic Optimization and Mathematical Economics, Edited by P. T. Liu, Plenum Press, New York, New York, pp. 117–132, 1980.
Kaitala, V.,Nonuniqueness of No-Memory Feedback Equilibria in a Fishery Resource Game, Working Paper, Systems Analysis Laboratory, University of Technology, Helsinki, Finland, 1987.
Leitmann, G.,Cooperative and Noncooperative Many-Players Differential Games, Springer-Verlag, New York, New York, 1974.
Jørgensen, S.,A Survey of Some Differential Games in Advertising, Journal of Economic Dynamics and Control, Vol. 4, pp. 341–369, 1982.
Feichtinger, G., andJørgensen, S.,Differential Game Models in Management Science, European Journal of Operational Research, Vol. 14, pp. 137–155, 1983.
Andersen, P., andSutinen, J. G.,Stochastic Bioeconomics: A Review of Basic Methods and Results, Marine Resource Economics, Vol. 1, pp. 117–139, 1984.