Problem of optimal strategy in the models of conflict redistribution of the resource space
The theory of conflict dynamical systems is applied to finding of the optimal strategy in the problem of redistribution of the resource space between two opponents. In the case of infinite fractal division of the space, we deduce an explicit formula for finding the Lebesgue measure of the occupied t...
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| Date: | 2017 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Institute of Mathematics, NAS of Ukraine
2017
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/1745 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |
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Ukrains’kyi Matematychnyi Zhurnal| Summary: | The theory of conflict dynamical systems is applied to finding of the optimal strategy in the problem of redistribution of the
resource space between two opponents. In the case of infinite fractal division of the space, we deduce an explicit formula
for finding the Lebesgue measure of the occupied territory in terms of probability distributions. In particular, this formula
gives the optimal strategy for the occupation of the whole territory. The necessary and sufficient condition for the parity
distribution of the territory are presented. |
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