The Economics Of Shallow Lakes
Preprint
- 1 January 2000
- preprint
- Published by Elsevier in SSRN Electronic Journal
Abstract
Ecological systems such as shallow lakes are usually non-linear and display discontinuities and hysteresis in their behaviour. These systems often also provide conflicting services as a resource and a waste sink. This implies that the economic analysis of these systems requires to solve a non-standard optimal control problem or, in case of a common property resource, a non-standard differential game. This paper provides the optimal management solution and the open-loop Nash equilibrium for a dynamic economic analysis of the model for a shallow lake. It also investigates whether it is possible to induce optimal management in case of common use of the lake, by means of a tax. Furthermore, an interesting property for the feedback Nash equilibrium is derived. Key words: non-linear differential games, ecological systems.Keywords
This publication has 8 references indexed in Scilit:
- Ecology of Shallow LakesPublished by Springer Nature ,2004
- Resilience and Restoration of LakesConservation Ecology, 1997
- Sustainability, Stability, and ResilienceConservation Ecology, 1997
- Potential GamesGames and Economic Behavior, 1996
- User’s guide to viscosity solutions of second order partial differential equationsBulletin of the American Mathematical Society, 1992
- History Versus ExpectationsThe Quarterly Journal of Economics, 1991
- Increasing Returns, Industrialization, and Indeterminacy of EquilibriumThe Quarterly Journal of Economics, 1991
- Qualitative Analysis of Insect Outbreak Systems: The Spruce Budworm and ForestJournal of Animal Ecology, 1978