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

Research outputpeer-review

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
Publication statusPublished - Sep 2018

Cite this

@article{cf974f3936ff4718a690add176374df1,
title = "Payoff Distribution in a Multi-Company Extraction Game with Uncertain Duration",
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.",
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",
author = "Ekaterina Gromova and Anastasiya Malakhova and Arsen Palestini",
year = "2018",
month = "9",
doi = "10.3390/math6090165",
language = "Английский",
volume = "6",
journal = "Mathematics",
issn = "2227-7390",
publisher = "MDPI AG",
number = "9",

}

Payoff Distribution in a Multi-Company Extraction Game with Uncertain Duration. / Gromova, Ekaterina; Malakhova, Anastasiya; Palestini, Arsen.

In: Mathematics, Vol. 6, No. 9, 165, 09.2018.

Research outputpeer-review

TY - JOUR

T1 - Payoff Distribution in a Multi-Company Extraction Game with Uncertain Duration

AU - Gromova, Ekaterina

AU - Malakhova, Anastasiya

AU - Palestini, Arsen

PY - 2018/9

Y1 - 2018/9

N2 - 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.

AB - 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.

KW - differential games

KW - non zero-sum games

KW - cooperative games

KW - resource extraction

KW - random duration

KW - IDP procedure

KW - CONSISTENT SHAPLEY VALUE

KW - COOPERATIVE DIFFERENTIAL-GAMES

KW - TIME CONSISTENCY

KW - EVENT TREES

KW - ALLOCATION

KW - RESOURCE

U2 - 10.3390/math6090165

DO - 10.3390/math6090165

M3 - статья

VL - 6

JO - Mathematics

JF - Mathematics

SN - 2227-7390

IS - 9

M1 - 165

ER -