Differential games on partially overlapping sets

We suggest four new notions of optimality (equilibrium) and use them to construct a theory providing the existence and (almost always) the uniqueness of solutions of game problems (both static problems and problems described by differential equations) with partially overlapping game sets of the play...

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Veröffentlicht in:Differential equations 2011-12, Vol.47 (12), p.1817-1827
1. Verfasser: Smol’yakov, E. R.
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container_title Differential equations
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creator Smol’yakov, E. R.
description We suggest four new notions of optimality (equilibrium) and use them to construct a theory providing the existence and (almost always) the uniqueness of solutions of game problems (both static problems and problems described by differential equations) with partially overlapping game sets of the players; such problems, which are used when modeling conflict problems with incidental interests (or incidental profits) of the players, have not been studied in the classical theory.
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1608-3083
language eng
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source SpringerNature Journals
subjects Construction
Control Theory
Difference and Functional Equations
Differential equations
Differential games
Equilibrium
Game theory
Games
Mathematical models
Mathematics
Mathematics and Statistics
Optimization
Ordinary Differential Equations
Pareto optimum
Partial Differential Equations
Players
Studies
Uniqueness
title Differential games on partially overlapping sets
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