Discrete-time cooperative games under uncertainty

David W.K. Yeung, Leon A. Petrosyan

Результат исследований: Публикации в книгах, отчётах, сборниках, трудах конференцийглава/раздел

Выдержка

In some economic processes in discrete-time, uncertainty may also arise. For instance, Smith and Zenou (Rev. Econ. Dyn. 6(1):54–79, 2003) considered a discrete-time stochastic job search model. Esteban-Bravo and Nogales (Comput. Oper. Res. 35:226–240, 2008) analyzed mathematical programming for stochastic discrete-time dynamics arising in economic systems, including examples in a stochastic national growth model and international growth model with uncertainty. The discrete-time counterpart of stochastic differential games is known as stochastic dynamic games. Basar and Ho (J. Econ. Theory 7:370–387, 1974) examined informational properties of the Nash solutions of stochastic nonzero-sum games. The elimination of the informational nonuniqueness in a Nash equilibrium through a stochastic formulation was first discussed in Basar (Int. J. Game Theory 5:65–90, 1976) and further examined in Basar (Automatica 11:547–551, 1975; In: New trends in dynamic system theory and economics, pp. 3–5, 1979; In: Dynamic policy games in economics, pp. 9–54, 1989). Basar and Mintz (In: Proceedings of the IEEE 11th conference on decision and control, pp. 188–192, 1972; Stochastics 1:25–69, 1973) and Basar (IEEE Trans. Autom. Control AC-23:233–243, 1978) developed an equilibrium solution of linear-quadratic stochastic dynamic games with noisy observation. Again, the SIAM Classics on Dynamic Noncooperative Game Theory by Basar and Olsder (Dynamic noncooperative game theory, 2nd edn. Academic Press, London, 1995) gave a comprehensive treatment of noncooperative stochastic dynamic games. Yeung and Petrosyan (J. Optim. Theory Appl. 145(3):579–596, 2010) provided the techniques in characterizing subgame consistent solutions for stochastic dynamic. Furthermore, they also presented a stochastic dynamic game in resource extraction. Analyses of noncooperative and cooperative discrete-time dynamic games with random game horizons were presented in Yeung and Petrosyan (J. Optim. Theory Appl. forthcoming, 2011). The recently emerging robust control techniques in discrete time along the lines of Hansen and Sargent (Robustness. Princeton University Press, Princeton, 2008) should prove to be fruitful in developing into stochastic dynamic interactive economic models.

Язык оригиналаанглийский
Название основной публикацииStatic and Dynamic Game Theory
Подзаголовок основной публикацииFoundations and Applications
ИздательBirkhäuser Verlag AG
Страницы343-365
Число страниц23
Издание9780817682613
DOI
СостояниеОпубликовано - 1 янв 2012

Серия публикаций

НазваниеStatic and Dynamic Game Theory: Foundations and Applications
Номер9780817682613
ISSN (печатное издание)2363-8516
ISSN (электронное издание)2363-8524

Отпечаток

Dynamic Games
Cooperative Game
Stochastic Dynamics
Stochastic Games
Discrete-time
Uncertainty
Game Theory
Economics
Non-cooperative Game
Game theory
Growth Model
Game
Stochastic Differential Games
Nonzero-sum Games
Economic Model
Equilibrium Solution
Nonuniqueness
Systems Theory
Cooperative game
Stochastic dynamics

Предметные области Scopus

  • Статистика, теория вероятности и теория неопределенности
  • Теория вероятности и статистика
  • Прикладная математика

Цитировать

Yeung, D. W. K., & Petrosyan, L. A. (2012). Discrete-time cooperative games under uncertainty. В Static and Dynamic Game Theory: Foundations and Applications (9780817682613 ред., стр. 343-365). (Static and Dynamic Game Theory: Foundations and Applications; № 9780817682613). Birkhäuser Verlag AG. https://doi.org/10.1007/978-0-8176-8262-0_13
Yeung, David W.K. ; Petrosyan, Leon A. / Discrete-time cooperative games under uncertainty. Static and Dynamic Game Theory: Foundations and Applications. 9780817682613. ред. Birkhäuser Verlag AG, 2012. стр. 343-365 (Static and Dynamic Game Theory: Foundations and Applications; 9780817682613).
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Yeung, DWK & Petrosyan, LA 2012, Discrete-time cooperative games under uncertainty. в Static and Dynamic Game Theory: Foundations and Applications. 9780817682613 ред., Static and Dynamic Game Theory: Foundations and Applications, № 9780817682613, Birkhäuser Verlag AG, стр. 343-365. https://doi.org/10.1007/978-0-8176-8262-0_13

Discrete-time cooperative games under uncertainty. / Yeung, David W.K.; Petrosyan, Leon A.

Static and Dynamic Game Theory: Foundations and Applications. 9780817682613. ред. Birkhäuser Verlag AG, 2012. стр. 343-365 (Static and Dynamic Game Theory: Foundations and Applications; № 9780817682613).

Результат исследований: Публикации в книгах, отчётах, сборниках, трудах конференцийглава/раздел

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AB - In some economic processes in discrete-time, uncertainty may also arise. For instance, Smith and Zenou (Rev. Econ. Dyn. 6(1):54–79, 2003) considered a discrete-time stochastic job search model. Esteban-Bravo and Nogales (Comput. Oper. Res. 35:226–240, 2008) analyzed mathematical programming for stochastic discrete-time dynamics arising in economic systems, including examples in a stochastic national growth model and international growth model with uncertainty. The discrete-time counterpart of stochastic differential games is known as stochastic dynamic games. Basar and Ho (J. Econ. Theory 7:370–387, 1974) examined informational properties of the Nash solutions of stochastic nonzero-sum games. The elimination of the informational nonuniqueness in a Nash equilibrium through a stochastic formulation was first discussed in Basar (Int. J. Game Theory 5:65–90, 1976) and further examined in Basar (Automatica 11:547–551, 1975; In: New trends in dynamic system theory and economics, pp. 3–5, 1979; In: Dynamic policy games in economics, pp. 9–54, 1989). Basar and Mintz (In: Proceedings of the IEEE 11th conference on decision and control, pp. 188–192, 1972; Stochastics 1:25–69, 1973) and Basar (IEEE Trans. Autom. Control AC-23:233–243, 1978) developed an equilibrium solution of linear-quadratic stochastic dynamic games with noisy observation. Again, the SIAM Classics on Dynamic Noncooperative Game Theory by Basar and Olsder (Dynamic noncooperative game theory, 2nd edn. Academic Press, London, 1995) gave a comprehensive treatment of noncooperative stochastic dynamic games. Yeung and Petrosyan (J. Optim. Theory Appl. 145(3):579–596, 2010) provided the techniques in characterizing subgame consistent solutions for stochastic dynamic. Furthermore, they also presented a stochastic dynamic game in resource extraction. Analyses of noncooperative and cooperative discrete-time dynamic games with random game horizons were presented in Yeung and Petrosyan (J. Optim. Theory Appl. forthcoming, 2011). The recently emerging robust control techniques in discrete time along the lines of Hansen and Sargent (Robustness. Princeton University Press, Princeton, 2008) should prove to be fruitful in developing into stochastic dynamic interactive economic models.

KW - Joint payoff

KW - Nash equilibrium

KW - Nash equilibrium solution

KW - Optimality principle

KW - Stochastic differential game

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Yeung DWK, Petrosyan LA. Discrete-time cooperative games under uncertainty. В Static and Dynamic Game Theory: Foundations and Applications. 9780817682613 ред. Birkhäuser Verlag AG. 2012. стр. 343-365. (Static and Dynamic Game Theory: Foundations and Applications; 9780817682613). https://doi.org/10.1007/978-0-8176-8262-0_13