Submitted:
25 July 2018
Posted:
26 July 2018
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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.
Keywords:
differential games
; non zero-sum games
; cooperative games
; resource extraction
; random duration
; IDP procedure
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