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

Authors
  • gromova, ekaterina
  • malakhova, anastasiya
  • palestini, arsen
Publication Date
Sep 11, 2018
Identifiers
DOI: 10.3390/math6090165
OAI: oai:mdpi.com:/2227-7390/6/9/165/
Source
MDPI
Keywords
Language
English
License
Green
External links

Abstract

A nonrenewable resource extraction game model is analyzed in a differential game theory framework with random duration. If the cumulative distribution function (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.

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