On the competitive harvesting of marine resources
| Autor: | Alberto Bressan, Vasile Staicu |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Marine conservation
Variational inequality 0209 industrial biotechnology Mathematical optimization Control and Optimization Necessary conditions for optimality Applied Mathematics 010102 general mathematics 02 engineering and technology Optimal harvesting of a marine resource Existence of Nash equilibrium 01 natural sciences Term (time) Obstacle problem Nonlinear system Elliptic curve 020901 industrial engineering & automation Resource (project management) Neumann boundary condition 14. Life underwater 0101 mathematics Mathematics |
| Zdroj: | Repositório Científico de Acesso Aberto de Portugal Repositório Científico de Acesso Aberto de Portugal (RCAAP) instacron:RCAAP |
| Popis: | The paper is concerned with the optimal harvesting of a marine resource, described by an elliptic equation with Neumann boundary conditions and a nonlinear source term. We first consider a single agent, whose harvesting effort at various locations is described by a positive Radon measure. Necessary conditions for optimality are derived, complementing the existence result proved in [A. Bressan, G. Coclite, and W. Shen, SIAM J. Control Optim., 51 (2013), pp. 1186--1202]. The second part of the paper deals with a competitive scenario, where several groups of fishermen, from different coastal towns and hence with different cost functions, harvest the same marine resource. We prove the existence of a Nash equilibrium, which is characterized in terms of a suitable variational inequality. published |
| Databáze: | OpenAIRE |
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