Existence of the value of fixed duration dynamical games

Piotr Borówko; Witold Rzymowski

  • Publisher: Instytut Matematyczny Polskiej Akademi Nauk(Warszawa), 1986

Abstract

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CONTENTS1. Introduction.......................................................................................................52. Game................................................................................................................63. Approximation condition....................................................................................84. Differential games of Friedman’s type.............................................................13  4.1. Game without delay....................................................................................13  4.2. Game with delay.........................................................................................195. Varaiya’s differential game with dynamical system..........................................21  5.1. Game with constraints of controls..............................................................22  5.2. Game with control by trajectories...............................................................24    nbsp;5.2.1. Approximation condition...............................................................25    nbsp;5.2.2. Alternative way.............................................................................266. Krasovskii’s differential game with dynamical system......................................27  6.1. Correlations between the games G(X,Y,μ) and G k ( X , Y , φ ) ....................29  6.2. Sufficient condition ....................................................................................31References.........................................................................................................36

How to cite

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Piotr Borówko, and Witold Rzymowski. Existence of the value of fixed duration dynamical games. Warszawa: Instytut Matematyczny Polskiej Akademi Nauk, 1986. <http://eudml.org/doc/268589>.

@book{PiotrBorówko1986,
abstract = {CONTENTS1. Introduction.......................................................................................................52. Game................................................................................................................63. Approximation condition....................................................................................84. Differential games of Friedman’s type.............................................................13  4.1. Game without delay....................................................................................13  4.2. Game with delay.........................................................................................195. Varaiya’s differential game with dynamical system..........................................21  5.1. Game with constraints of controls..............................................................22  5.2. Game with control by trajectories...............................................................24    nbsp;5.2.1. Approximation condition...............................................................25    nbsp;5.2.2. Alternative way.............................................................................266. Krasovskii’s differential game with dynamical system......................................27  6.1. Correlations between the games G(X,Y,μ) and $G_k(X,Y,φ)$....................29  6.2. Sufficient condition ....................................................................................31References.........................................................................................................36},
author = {Piotr Borówko, Witold Rzymowski},
keywords = {existence of the value; fixed duration dynamical games; lower strategy; delay; Isaacs condition},
language = {eng},
location = {Warszawa},
publisher = {Instytut Matematyczny Polskiej Akademi Nauk},
title = {Existence of the value of fixed duration dynamical games},
url = {http://eudml.org/doc/268589},
year = {1986},
}

TY - BOOK
AU - Piotr Borówko
AU - Witold Rzymowski
TI - Existence of the value of fixed duration dynamical games
PY - 1986
CY - Warszawa
PB - Instytut Matematyczny Polskiej Akademi Nauk
AB - CONTENTS1. Introduction.......................................................................................................52. Game................................................................................................................63. Approximation condition....................................................................................84. Differential games of Friedman’s type.............................................................13  4.1. Game without delay....................................................................................13  4.2. Game with delay.........................................................................................195. Varaiya’s differential game with dynamical system..........................................21  5.1. Game with constraints of controls..............................................................22  5.2. Game with control by trajectories...............................................................24    nbsp;5.2.1. Approximation condition...............................................................25    nbsp;5.2.2. Alternative way.............................................................................266. Krasovskii’s differential game with dynamical system......................................27  6.1. Correlations between the games G(X,Y,μ) and $G_k(X,Y,φ)$....................29  6.2. Sufficient condition ....................................................................................31References.........................................................................................................36
LA - eng
KW - existence of the value; fixed duration dynamical games; lower strategy; delay; Isaacs condition
UR - http://eudml.org/doc/268589
ER -

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