Subgame consistent solutions for a class of cooperative stochastic differential games with nontransferable payoffs

David W.K. Yeung, Leon Petrosyan, Patricia Melody Yeung

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

11 Цитирования (Scopus)

Аннотация

Subgame consistency is a fundamental element in the solution of cooperative stochastic differential games. In particular, it ensures that the extension of the solution policy to a later starting time and any possible state brought about by prior optimal behavior of the players will remain optimal. Recently, mechanisms for the derivation of subgame consistent solutions in stochastic cooperative differential games with transferable payoffs have been found. In the case when players’ payoffs are nontransferable, the derivation of solution candidates is extremely complicated and often intractable. In this chapter, subgame consistent solutions are derived for a class of cooperative stochastic differential games with nontransferable payoffs.

Язык оригиналаанглийский
Название основной публикацииAnnals of the International Society of Dynamic Games
ИздательBirkhäuser Verlag AG
Страницы153-170
Число страниц18
DOI
СостояниеОпубликовано - 1 янв 2007

Серия публикаций

НазваниеAnnals of the International Society of Dynamic Games
Том9
ISSN (печатное издание)2474-0179
ISSN (электронное издание)2474-0187

Предметные области Scopus

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

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  • Цитировать

    Yeung, D. W. K., Petrosyan, L., & Yeung, P. M. (2007). Subgame consistent solutions for a class of cooperative stochastic differential games with nontransferable payoffs. В Annals of the International Society of Dynamic Games (стр. 153-170). (Annals of the International Society of Dynamic Games; Том 9). Birkhäuser Verlag AG. https://doi.org/10.1007/978-0-8176-4553-3_8