Equilibria in a competitive model arising from linear production situations with a common-pool resource

E. Gutiérrez, N. Llorca (), Joaquín Sánchez-Soriano and M. A. Mosquera
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E. Gutiérrez: University Miguel Hernández of Elche
N. Llorca: University Miguel Hernández of Elche
M. A. Mosquera: University of Vigo

TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, 2017, vol. 25, issue 2, No 12, 394-401

Abstract: Abstract In this paper we deal with linear production situations in which there is a limited common-pool resource, managed by an external agent. The profit that a producer can attain depends on the amount of common-pool resource obtained through a certain procedure. We contemplate a competitive process among the producers and study the corresponding non-cooperative games, describing their (strict) Nash equilibria in pure strategies. It is shown that strict Nash equilibria form a subset of strong Nash equilibria, which in turn form a proper subset of Nash equilibria.

Keywords: Linear production situations; Common-pool resource; Nash equilibrium; 90B30; 91A10 (search for similar items in EconPapers)
JEL-codes: C72 (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s11750-017-0438-3

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