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**:** 2004
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** :** Proceedings of the International Conference Mathe

** :** .., .. / Proceedings of the International Conference Mathematical modeling of Social and Economical Dynamics. Moscow: RSSU, 2004. P. 91 92.

**:** The paper considers reflexive mappings properties: it is proved that, when the agents in the framework of the game-theoretic model make their decisions on the base of the finite informational structures, actions, chosen by phantom agents, are defined by the system of nonlinear iterated mappings. Exploration of the model allows concluding that the informational equilibrium is generally unstable under the increase of the reflexivity depth.

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