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http://hdl.handle.net/10773/27176
Título: | On the competitive harvesting of marine resources |
Autor: | Bressan, Alberto Staicu, Vasile |
Palavras-chave: | Optimal harvesting of a marine resource Necessary conditions for optimality Existence of Nash equilibrium Variational inequality Obstacle problem |
Data: | 3-Dez-2019 |
Editora: | Society for Industrial and Applied Mathematics |
Resumo: | 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. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/27176 |
DOI: | 10.1137/18M1192949 |
ISSN: | 0363-0129 |
Versão do Editor: | https://epubs.siam.org/doi/pdf/10.1137/18M1192949 |
Aparece nas coleções: | CIDMA - Artigos DMat - Artigos FAAG - Artigos |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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BressanStaicuPaper_SICON_57(1019)_3961-3964.pdf | 438.15 kB | Adobe PDF | Ver/Abrir |
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