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 |
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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. |
doi_str_mv | 10.1134/S001226611112010X |
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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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