Dynamic consistency in discrete-time cooperative games

David W.K. Yeung, Leon A. Petrosyan

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


In some economic situations, the economic process is in discrete time rather than in continuous time. The discrete-time counterpart of differential games are known as dynamic games. Bylka et al (Ann. Oper. Res. 97:69–89, 2000) analyzed oligopolistic price competition in a dynamic game model. Wie and Choi (KSCE J. Civ. Eng. 4(4):239–248, 2000) examined discrete-time traffic network. Beard and McDonald (Ann. Int. Soc. Dyn. Games 9:393–410, 2007) investigated water sharing agreements and Amir and Nannerup (J. Bioecon. 8:147–165, 2006) considered resource extraction problems in a discrete-time dynamic framework. Yeung (Ann. Oper. Res. doi: 10.1007/s10479-011-0844-0, 2011) examined dynamically consistent collaborative environmental management with technology selection in a discrete-time dynamic game framework. The properties of Nash equilibria in dynamic games are examined in Basar (J. Optim. Theory Appl. 14:425–430, 1974; Int. J. Game Theory 5:65–90, 1976). The solution algorithm for solving dynamic games can be found in Basar (IEEE Trans. Autom. Control AC-22:124–126, 1977; In: Differential Games and Control Theory II, pp. 201–228, 1977). Petrosyan and Zenkevich (Game theory. World Scientific, Singapore, 1996) presented an analysis on cooperative dynamic games in a discrete time framework. 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 discrete-time noncooperative dynamic games.

Язык оригиналаанглийский
Название основной публикацииStatic and Dynamic Game Theory
Подзаголовок основной публикацииFoundations and Applications
ИздательBirkhäuser Verlag AG
Число страниц20
СостояниеОпубликовано - 1 янв 2012

Серия публикаций

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

Предметные области Scopus

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

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