Contributions to Game Theory and Management
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Contributions to Game Theory and Management:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Contributions to Game Theory and Management, 2012, Volume 5, Pages 147–155 (Mi cgtm155)  
This article is cited in 2 scientific papers (total in 2 papers)

A Differential Game-Based Approach to Extraction of Exhaustible Resource with Random Terminal Instants

Sergey Kostyunina, Arsen Palestinib, Ekaterina Shevkoplyasa

a Faculty of Applied Mathematics, St. Petersburg University, University pr., 35, Petrodvorets, 198904, St. Petersburg, Russia
b MEMOTEF, Sapienza University of Rome, Via del Castro Laurenziano 9, 00161 Rome, Italy
Full-text PDF (172 kB) Citations (2)
References:
PDF
HTML
Abstract: We investigate a noncooperative differential game in which two firms compete in extracting a unique nonrenewable resource over time. The respective times of extraction are random and after the first firm finishes extraction, the remaining one continues and gets the final reward for winning. An example is introduced where the optimal feedback strategy, i.e. the optimal extraction rate, is calculated in a closed form.
Keywords: Differential game, exhaustible resources, random terminal time, Hamilton–Jacobi–Bellman equation.
Document Type: Article
Language: English
Citation: Sergey Kostyunin, Arsen Palestini, Ekaterina Shevkoplyas, “A Differential Game-Based Approach to Extraction of Exhaustible Resource with Random Terminal Instants”, Contributions to Game Theory and Management, 5 (2012), 147–155
Citation in format AMSBIB
\Bibitem{KosPalShe12}
\by Sergey~Kostyunin, Arsen~Palestini, Ekaterina~Shevkoplyas
\paper A Differential Game-Based Approach to Extraction of Exhaustible Resource with Random Terminal Instants
\jour Contributions to Game Theory and Management
\yr 2012
\vol 5
\pages 147--155
\mathnet{http://mi.mathnet.ru/cgtm155}
Linking options:
  • https://www.mathnet.ru/eng/cgtm155
  • https://www.mathnet.ru/eng/cgtm/v5/p147
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Statistics & downloads:
    Abstract page:221
    Full-text PDF :101
    References:39
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024