The Irrational Behavior Proof Condition for Linear-Quadratic Discrete-time Dynamic Games with Nontransferable Payoffs

Authors

  • Anna V. Tur Saint Petersburg State University

Abstract

The paper considers 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.

Keywords:

linear-quadratic games, discrete-time games, games with nontransferable payoffs, Pareto-optimal solution, time consistency, PDP, irrational behavior proof condition

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References

Aarle, B. van, Bovenberg, L. and Raith, M. (1995). Monetary and fiscal policy interaction and government debt stabilization. Journal of Economics, 62(2), 111–140.

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Belitskaia, A. V. The D.W.K. Yeung. Condition for Cooperative Differential Games with Nontransferable Payoffs. Graduate School of Management, Contributions to game theory and management, 5, 45–50.

Bertsekas D. P. (2007). Dynamic Programming and Optimal Control, Vol I and II, 3rd edition. Athena Scientific,

Engwerda, J. C. (2005). LQ Dynamic Optimization and Differential Games. Chichester: John Wiley Sons, 497 p.

Markovkin, M. V. (2006). D. W. K. Yeung’s Condition for Linear Quadratic Differential Games. In: Dynamic Games and Their Applications (L. A. Petrosyan and A. Y. Garnaev , eds.), St Petersburg State University, St Petersburg, 207–216.

Markovkina, A. V. (2008). Dynamic game-theoretic model of production planning under competition. Graduate School of Management, Contributions to game theory and management, 2, 474–482.

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Published

2022-08-09

How to Cite

V. Tur, A. (2022). The Irrational Behavior Proof Condition for Linear-Quadratic Discrete-time Dynamic Games with Nontransferable Payoffs. Contributions to Game Theory and Management, 7. Retrieved from https://gametheory.spbu.ru/article/view/13624

Issue

Vol. 7 (2014)

Section

Articles

License

Articles of "Contributions to Game Theory and Management" are open access distributed under the terms of the License Agreement with Saint Petersburg State University, which permits to the authors unrestricted distribution and self-archiving free of charge.