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Explore the concept of time-consistent solutions in cooperative multistage hierarchical games, with insights on optimality principles and future research directions for solution concepts satisfaction. Background references and research background provided.
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Time-consistent solution in hierarchical games alyona_kor@yahoo.com Supervisor: Prof.Leon A. Petrosjan Elena Gubar
Background of the research • Filar,G., A. and L., A. Petrosjan.Dynamic Cooperative Games.International Game Theory Review. Vol., 2, No.,1, pp.,47- 66. • L., A. Petrosjan and D., V. Kuzutin.Games in extensive-form.Publishers: St. Petersburg State University, 2000.
Conclusions and results • Define optimality principle for the cooperative multistage G game with hierarchical game , played on each stage. • Optimality principle is time consistent. Future research • Characterization of regularity conditions under which solution concepts is satisfied time consistency and internal time consistency.