### Abstract

The solution formula for the payoff distribution procedure of a bargaining problem in a cooperative differential game with nontransferable payoffs that lead to a time consistent outcome is proposed by Leon A. Petrosyan and D. W. K. Yeung (2014). In this paper we study this formula for linear-quadratic discrete-time dynamic games with nontransferable payoffs. Pareto-optimal solution is studied as optimality principle. The time consistency and irrational behavior proof condition of this solution are investigated. As an example the government debt stabilization game is considered.

Original language | English |
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Title of host publication | A time-consistent solution formula for linear-quadratic discrete-time dynamic games with nontransferable payoffs |

Publisher | Издательство Санкт-Петербургского университета |

Pages | 289–299 |

Publication status | Published - 2015 |

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## Cite this

Tur, A. V. (2015). A time-consistent solution formula for linear-quadratic discrete-time dynamic games with nontransferable payoffs. In

*A time-consistent solution formula for linear-quadratic discrete-time dynamic games with nontransferable payoffs*(pp. 289–299). Издательство Санкт-Петербургского университета. http://mi.mathnet.ru/rus/cgtm/v8/p289