Game Theory Models of Fisheries Management — a Survey

  • Veijo Kaitala
Part of the Lecture Notes in Economics and Mathematical Systems book series (LNE, volume 265)

Abstract

A survey of the literature dealing with the multi-agent exploitation of fishery resources is presented. The most common problems of fishery management include competitive exploitation of open-access fishery resources, non-cooperative and cooperative or bargaining approaches to resource management. This survey concentrates on papers which deal with dynamic game and control theory problems of resource modelling and bargaining.

Keywords

Biomass Fishing Nash Librium Nite 

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References

  1. Andersen, P. and J.G. Sutinen.(1984), “Stochastic Bioeconomics: A Review of Basic Methods and Results,” Marine Resource Economics, vol. 1, pp. 117–136.Google Scholar
  2. Basar, T. (1985), “A Tutorial on Dynamic and Differential Games,” this volume.Google Scholar
  3. Başar, T. and G.J. Olsder (1982), Dynamic Noncooperative Game Theory, Academic Press, New York.Google Scholar
  4. Berck, P. and J.M. Perloff (1984), “An Open-Access Fishery with Rational Expectations,” Econometrica, vol. 52, pp. 489–506.CrossRefGoogle Scholar
  5. Chiarella, C., M.C. Kemp, N.V. Long and K. Okuguchi (1984), “On the Economics of International Fisheries,” International Economic Review, vol. 25, pp. 85–92.CrossRefGoogle Scholar
  6. Clark, C.W. (1976), Mathematical Bioeconomics: The Optimal Management of Renewable Resources, Wiley-Interscience, New York.Google Scholar
  7. Clark, C.W. (1980), “Restricted Access to Common-Property Fishery Resources: A Game Theoretic Analysis,” in Dynamic Optimization and Mathematical Economics, P. Liu (Ed.), Plenum Press, New York.Google Scholar
  8. Clemhout, S. and H.Y. Wan, Jr. (1979), “Interactive Economic Dynamics and Differential Games,” Journal of Optimization Theory and Applications, vol. 27, pp. 7–30.CrossRefGoogle Scholar
  9. Feichtinger, G. and S. Jèrgensen (1983), “Differential Game Models in Management Science,” European Journal of Operational Research, vol. 14, pp. 137–155.CrossRefGoogle Scholar
  10. Fischer, T.R. (1981), “An Hierarchical Game Approach to Fishery Resource Management,” IEEE Transactions on Systems, Man, and Cybernetics, vol. SMC-11, pp. 216–222.Google Scholar
  11. Gordon, H.S. (1954), “Economic Theory of a Common-Property: The Fishery,” Journal of Political Economy, vol. 62, pp. 124–142.CrossRefGoogle Scholar
  12. Hämäläinen, R.P. (1981), “On the Cheating Problem in Stackelberg Games,” International Journal of Systems Science, vol. 12, pp. 753–770.CrossRefGoogle Scholar
  13. Hämäläinen, R.P., A. Haurie and V. Kaitala (1985), “Equilibria and Threats in a Fishery Management Game,” Optimal Control Applications & Methods, (in press).Google Scholar
  14. Hämäläinen, R.P., A. Haurie and V. Kaitala (1984), “Bargaining on Whales: A Differential Game Model with Pareto Optimal Equilibria,” Operations Research Letters, vol. 3, PP. 5–11.CrossRefGoogle Scholar
  15. Hämäläinen, R.P. and V. Kaitala (1982), “A Game on the Choice of Policy Variables in a Dynamic Resource Management Game,” Proc. 21st IEEE Conference on Decision and Control, vol. 1, Orlando, Florida.Google Scholar
  16. Haurie, A. (1982), “Stability and Optimal Exploitation over an Infinite Time Horizon of Interacting Populations,” Optimal Control Applications & Methods, vol. 3, pp. 241–256.CrossRefGoogle Scholar
  17. Haurie, A. and G. Leitmann (1984), “On the Global Asymptotic Stability of Equilibrium Solutions for Open-Loop Differential Games,” Large Scale Systems, vol. 6, pp. 107–122Google Scholar
  18. Haurie, A. and B. Tolwinski (1981), “Acceptable Equilibria in Dynamic Bargaining Games,” in System Modelling and Optimization, Proc. 10th IFIP Conference, Drenic, R.F. and F. Kozin (Eds.), New York.Google Scholar
  19. Jèrgensen, S. (1984), “Differential Game Models in Management Science: A Survey,” pp. 578–591, in Operations Research Proceedings 1983, Berlin, Heidelberg, Springer-Verlag.Google Scholar
  20. Jèrgensen, S. (1985), “Optimal Dynamic Pricing in an Oligopolistic Market: A Survey,” this volume.Google Scholar
  21. Kaitala, V. (1985), Game Theory Models of Dynamic Bargaining and Contracting in Fisheries Management, Helsinki University of Technology, Ph.D. dissertation.Google Scholar
  22. Kaitala, V. and R.P. Hämäläinen (1981), “A Differential Game Model of the Non-Cooperative Management of an International Fishery,” Proc. First International Conference Applied Modelling and Simulation, vol. V, pp. 183–186, Lyon, France, September 7-11.Google Scholar
  23. Kaitala, V., R.P. Hämäläinen and J. Ruusunen (1985), “On the Analysis of Equilibria and Bargaining in a Fishery Game,” in Optimal Control Theory and Economic Analysis 2, G. Feichtinger (Ed.), North-Holland, Amsterdam, New York, Oxford.Google Scholar
  24. Kalai, E. and M. Smorodinsky (1975), “Other Solutions to Nash’s Bargaining Problem,” Econometrica, vol. 43, pp. 513–518.CrossRefGoogle Scholar
  25. Kemp, M.C. and N.V. Long (1980), “Resource Extraction under Conditions of Common Access,” in Exhaustible Resources, Optimality, and Trade, Kemp, M.C. and N.V. Long (Eds.), North-Holland, Amsterdam, New York, Oxford.Google Scholar
  26. The Law of the Sea (1983). United Nations Convention on the Law of the Sea with Index and Final Act of the Third United Nations Conference of the Law of the Sea, New York, UN, 262 pp.Google Scholar
  27. Leitmann, G. (1974), Cooperative and Non-Cooperative Many Players Differential Games, Springer-Verlag, Vienna.Google Scholar
  28. Levhari, D. and L.J. Mirman (1980), “The Great Fish War: An Example Using a Dynamic Cournot-Nash Solution,” Bell Journal of Economics, vol. 11, pp. 322–334.CrossRefGoogle Scholar
  29. Mirman, L.J. (1979), “Dynamic Models of Fishing: A Heuristic Approach,” in Control Theory in Mathematical Economics, Liu, P.T. and J.G. Sutinen (Eds.), New York, Marcel Decker.Google Scholar
  30. Mirman, L.J. and D.F. Spulber (Eds.) (1982), Essays in the Economics of Renewable Resources, North-Holland, Amsterdam, New York, Oxford.Google Scholar
  31. Munro, G.R. (1979), “The Optimal Management of Transboundary Renewable Resources,” Canadian Journal of Economics, vol. 12, pp. 355–376.CrossRefGoogle Scholar
  32. Munro, G.R. (1982a), “Bilateral Monopoly in Fisheries and Optimal Management Policy,” in Essays in the Economics of Renewable Resources, Mirman, L.J. and D.F. Spulber (Eds.), North-Holland, Amsterdam, New York, Oxford.Google Scholar
  33. Munro, G.R. (1982b), “Fisheries, Extended Jurisdiction and the Economics of Common Property Resources,”, Canadian Journal of Economics, vol. 15, pp. 405–425.CrossRefGoogle Scholar
  34. Nash, J. (1950), “The Bargaining Problem,” Econometrica, vol. 18, pp. 155–162.CrossRefGoogle Scholar
  35. Pohjola, M. (1985), “Applications of Dynamic Game Theory to Macroeconomics,” this volume.Google Scholar
  36. Roth, A.E. (1979), Axiomatic Models of Bargaining, Springer-Verlag, Berlin.Google Scholar
  37. Schaefer, M.B. (1957), “Some Considerations of Population Dynamics and Economics in Relation to the Management of Marine Fisheries,” Journal of Fisheries.Research Board of Canada, vol. 14, pp. 669–681.CrossRefGoogle Scholar
  38. Smith, V.L. (1969), “On Models of Commercial Fishing,” Journal of Political Economy, vol. 77, pp. 181–198.CrossRefGoogle Scholar
  39. Sobel, M.J. (1982), “Stochastic Fishery Games with Myopic Equilibria,” in Essays in the Economics of Renewable Resources, Mirman, L.J. and D.F. Spulber (Eds.), North-Holland, Amsterdam, New York, Oxford.Google Scholar
  40. Spulber, D.F. (1982), “A selective survey,” in Essays in the Economics of Renewable Resources, Mirman, L.J. and D.F. Spulber (Eds.), North-Holland, Amsterdam, New York, Oxford.Google Scholar
  41. Tolwinski, B. (1982), “A Concept of Cooperative Equilibrium for Dynamic Games,” Automatica, vol. 18, pp. 431–447.CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1986

Authors and Affiliations

  • Veijo Kaitala
    • 1
  1. 1.Systems Analysis LaboratoryHelsinki University of TechnologyEspooFinland

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