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Pareto Equilibrium of Objections and Counterobjections in a Differential Three-Person Game

  • MATHEMATICAL GAME THEORY AND APPLICATIONS
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Abstract

A linear-quadratic positional differential game of three persons is considered. Coefficient criteria are established under which there is no Nash equilibrium situation in the game but at the same time there exists an equilibrium of objections and counterobjections.

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Notes

  1. Intention to threaten (Lat.).

  2. Order—counter-order—disorder (Fr.).

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Authors and Affiliations

  1. Lomonosov Moscow State University, Moscow, 119991, Russia

    V. I. Zhukovskiy

  2. State Humanity-Technology University, Orekhovo-Zuevo, Moscow oblast, 142611, Russia

    J. N. Zhiteneva & J. A. Belskih

Authors
  1. V. I. Zhukovskiy
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  2. J. N. Zhiteneva
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  3. J. A. Belskih
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Correspondence to V. I. Zhukovskiy, J. N. Zhiteneva or J. A. Belskih.

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Translated by V. Potapchouck

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Zhukovskiy, V.I., Zhiteneva, J.N. & Belskih, J.A. Pareto Equilibrium of Objections and Counterobjections in a Differential Three-Person Game. Autom Remote Control 82, 1812–1834 (2021). https://doi.org/10.1134/S0005117921100179

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