Preprint Article Version 1 This version is not peer-reviewed

Payoff Distribution in a Multi-Company Extraction Game with Uncertain Duration

Version 1 : Received: 25 July 2018 / Approved: 26 July 2018 / Online: 26 July 2018 (02:55:17 CEST)

A peer-reviewed article of this Preprint also exists.

Gromova, E.; Malakhova, A.; Palestini, A. Payoff Distribution in a Multi-Company Extraction Game with Uncertain Duration. Mathematics 2018, 6, 165. Gromova, E.; Malakhova, A.; Palestini, A. Payoff Distribution in a Multi-Company Extraction Game with Uncertain Duration. Mathematics 2018, 6, 165.

Journal reference: Mathematics 2018, 6, 165
DOI: 10.3390/math6090165

Abstract

A nonrenewable resource extraction game model is analyzed in a differential game theory framework with random duration. If the c.d.f. of the final time is discontinuous, the related subgames are differentiated based on the position of the initial instant with respect to the jump. We investigate properties of optimal trajectories and of imputation distribution procedures if the game is played cooperatively.

Subject Areas

differential games; non zero-sum games; cooperative games; resource extraction; random duration; IDP procedure

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