Title of article :
On stability of the solutions of matrix game and the capital preservation problem to the perturbations of initial data
Author/Authors :
Aliyev, Soltan A. Institute of Mathematics and Mechanics of NAS of Azerbaijan, Baku, Azerbaijan , Yeleyko, Yaroslav I. Ivan Franko National University of Lviv, Ukraine , Kosarevych, Katerina V. Ivan Franko National University of Lviv, Ukraine , Karpa, Oleq I. Ivan Franko National University of Lviv, Ukraine
Pages :
7
From page :
30
To page :
36
Abstract :
The stability of the solution of the capital preservation problem to the perturbations of initial data given by the matrix of rates of profits of assets is proved in terms of the semi-continuous multivalued maps. It is also shown that the solution of the corresponding matrix game is also stable to the perturbations. Finally, it is proved that solutions of both perturbed problems are the same.
Keywords :
matrix game , completely mixed optimal strategy , upper semicontinuous multi-valued mapping
Journal title :
Transactions Issue Mathematics, Azerbaijan National Academy of Sciences
Serial Year :
2017
Full Text URL :
Record number :
2611378
Link To Document :
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