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

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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.

Original languageEnglish
Article number165
Number of pages17
JournalMathematics
Volume6
Issue number9
DOIs
StatePublished - Sep 2018

Keywords

  • differential games
  • non zero-sum games
  • cooperative games
  • resource extraction
  • random duration
  • IDP procedure
  • CONSISTENT SHAPLEY VALUE
  • COOPERATIVE DIFFERENTIAL-GAMES
  • TIME CONSISTENCY
  • EVENT TREES
  • ALLOCATION
  • RESOURCE

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