Subgame Consistent Solutions for a Class of Cooperative Stochastic Differential Games with Nontransferable Payoffs

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

doi:10.1007/978-0-8176-4553-3_8

Subgame Consistent Solutions for a Class of Cooperative Stochastic Differential Games with Nontransferable Payoffs

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

Research output: Chapter in book/report/conference proceeding › Chapter › peer-review

12 Citations (Scopus)

Abstract

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.

Original language	English
Title of host publication	Advances in Dynamic Game Theory. Annals of the International Society of Dynamic Games, vol 9
Editors	teffen Jørgensen , Marc Quincampoix, Thomas L. Vincent
Publisher	Birkhäuser Boston - Springer
Pages	153-170
Number of pages	18
Volume	9
ISBN (Electronic)	978-0-8176-4553-3
ISBN (Print)	978-0-8176-4399-7
DOIs	https://doi.org/10.1007/978-0-8176-4553-3_8
Publication status	Published - Jan 2007
Externally published	Yes

Access to Document

10.1007/978-0-8176-4553-3_8

Cite this

Yeung, D. W. K., Petrosyan, L., & Patricia Melody, Y. (2007). Subgame Consistent Solutions for a Class of Cooperative Stochastic Differential Games with Nontransferable Payoffs. In T. Jørgensen , M. Quincampoix, & T. L. Vincent (Eds.), Advances in Dynamic Game Theory. Annals of the International Society of Dynamic Games, vol 9 (Vol. 9, pp. 153-170). Birkhäuser Boston - Springer. https://doi.org/10.1007/978-0-8176-4553-3_8

Yeung, David W. K. ; Petrosyan, Leon ; Patricia Melody, Yeung. / Subgame Consistent Solutions for a Class of Cooperative Stochastic Differential Games with Nontransferable Payoffs. Advances in Dynamic Game Theory. Annals of the International Society of Dynamic Games, vol 9. editor / teffen Jørgensen ; Marc Quincampoix ; Thomas L. Vincent. Vol. 9 Birkhäuser Boston - Springer, 2007. pp. 153-170

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Yeung, DWK, Petrosyan, L & Patricia Melody, Y 2007, Subgame Consistent Solutions for a Class of Cooperative Stochastic Differential Games with Nontransferable Payoffs. in T Jørgensen , M Quincampoix & TL Vincent (eds), Advances in Dynamic Game Theory. Annals of the International Society of Dynamic Games, vol 9. vol. 9, Birkhäuser Boston - Springer, pp. 153-170. https://doi.org/10.1007/978-0-8176-4553-3_8

Subgame Consistent Solutions for a Class of Cooperative Stochastic Differential Games with Nontransferable Payoffs. / Yeung, David W. K.; Petrosyan, Leon; Patricia Melody, Yeung.

Advances in Dynamic Game Theory. Annals of the International Society of Dynamic Games, vol 9. ed. / teffen Jørgensen ; Marc Quincampoix; Thomas L. Vincent. Vol. 9 Birkhäuser Boston - Springer, 2007. p. 153-170.

Research output: Chapter in book/report/conference proceeding › Chapter › peer-review

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Yeung DWK, Petrosyan L, Patricia Melody Y. Subgame Consistent Solutions for a Class of Cooperative Stochastic Differential Games with Nontransferable Payoffs. In Jørgensen T, Quincampoix M, Vincent TL, editors, Advances in Dynamic Game Theory. Annals of the International Society of Dynamic Games, vol 9. Vol. 9. Birkhäuser Boston - Springer. 2007. p. 153-170 doi: 10.1007/978-0-8176-4553-3_8