## Introduction to multi-player differential games and their applications |

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### Contents

Introduction to the Series | 1 |

The Mathematical Apparatus and Presentation of Problems | 49 |

The Problem of Synthesis in Noncooperative | 89 |

Copyright | |

8 other sections not shown

### Common terms and phrases

absolutely continuous according active equilibrium advantage Avtomatika i telemekhanika boundary conditions Centre class C1 collection of strategies continuous function continuously differentiable Contr convex cooperative games countable countable set countercoalition defined definition differential equations differentsialnykh equilibrium strategies exists finite number follows fulfilled function V(t games theory guaranteeing hierarchy i-th player initial position lemma Let us designate Let us examine Let us suppose linear lower level players matematika matrices maximin Moscow movements Nash equilibrium set Nash equilibrium situation non-coalition non-cooperative games obtain optimal control optimizatsii P-optimal Pareto optimal payoff function permissible strategies position differential games prisoner's dilemma problem of vector Proof quadratic realised respect saddle point satisfy set of strategies situation of Nash Slater optimal SSSR statement sufficient conditions teorii Theory and Appl Theory Appl threat and counterthreat trajectory two-level differential game upravleniya values variant vector optimisation Z-solution zadache