Optimal harvesting of a spatially distributed renewable resource with endogenous pricing

Anita S, Behringer S, Mosneagu A-M, Upmann T (2019)
Mathematical Modelling of Natural Phenomena 14(1): UNSP 101.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor*in
Anita, Sebastian; Behringer, Stefan; Mosneagu, Anna-Maria; Upmann, ThorstenUniBi
Abstract / Bemerkung
In this paper, we focus on the exploitation of a renewable resource in a spatial setting. Building upon the spatial harvesting model of [Behringer and Upmann, J. Econ. Dyn. Control 42 (2014) 105-120], we endogenize the price for the resource assuming that after harvesting the good is non-durable, i.e. the harvesting yield must be supplied on the market instantaneously. We find necessary optimality conditions and use them to derive an iterative algorithm to improve at each step the harvesting effort. We find that with endogenous prices the full exploitation result of [Behringer and Upmann, J. Econ. Dyn. Control 42 (2014) 105-120] may cease to hold.
Stichworte
Optimal control; optimality conditions; spatial harvesting; renewable; resources; iterative algorithms
Erscheinungsjahr
2019
Zeitschriftentitel
Mathematical Modelling of Natural Phenomena
Band
14
Ausgabe
1
Art.-Nr.
UNSP 101
ISSN
0973-5348
eISSN
1760-6101
Page URI
https://pub.uni-bielefeld.de/record/2936971

Zitieren

Anita S, Behringer S, Mosneagu A-M, Upmann T. Optimal harvesting of a spatially distributed renewable resource with endogenous pricing. Mathematical Modelling of Natural Phenomena . 2019;14(1): UNSP 101.
Anita, S., Behringer, S., Mosneagu, A. - M., & Upmann, T. (2019). Optimal harvesting of a spatially distributed renewable resource with endogenous pricing. Mathematical Modelling of Natural Phenomena , 14(1), UNSP 101. https://doi.org/10.1051/mmnp/2018050
Anita, Sebastian, Behringer, Stefan, Mosneagu, Anna-Maria, and Upmann, Thorsten. 2019. “Optimal harvesting of a spatially distributed renewable resource with endogenous pricing”. Mathematical Modelling of Natural Phenomena 14 (1): UNSP 101.
Anita, S., Behringer, S., Mosneagu, A. - M., and Upmann, T. (2019). Optimal harvesting of a spatially distributed renewable resource with endogenous pricing. Mathematical Modelling of Natural Phenomena 14:UNSP 101.
Anita, S., et al., 2019. Optimal harvesting of a spatially distributed renewable resource with endogenous pricing. Mathematical Modelling of Natural Phenomena , 14(1): UNSP 101.
S. Anita, et al., “Optimal harvesting of a spatially distributed renewable resource with endogenous pricing”, Mathematical Modelling of Natural Phenomena , vol. 14, 2019, : UNSP 101.
Anita, S., Behringer, S., Mosneagu, A.-M., Upmann, T.: Optimal harvesting of a spatially distributed renewable resource with endogenous pricing. Mathematical Modelling of Natural Phenomena . 14, : UNSP 101 (2019).
Anita, Sebastian, Behringer, Stefan, Mosneagu, Anna-Maria, and Upmann, Thorsten. “Optimal harvesting of a spatially distributed renewable resource with endogenous pricing”. Mathematical Modelling of Natural Phenomena 14.1 (2019): UNSP 101.
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