Zobrazeno 1 - 10
of 21
pro vyhledávání: '"V. S. Levchenkov"'
Autor:
V. S. Levchenkov
Publikováno v:
Doklady Mathematics. 81:493-496
Autor:
V. S. Levchenkov
Publikováno v:
Doklady Mathematics. 81:332-335
Autor:
L. G. Levchenkova, V. S. Levchenkov
Publikováno v:
Computational Mathematics and Modeling. 20:416-426
The issue of estimating the voter power in weighted voting systems is considered. We show that the numerical values of the weighted power index previously introduced by the author can be determined by a simple minimization scheme. The efficiency of t
Autor:
L. G. Levchenkova, V. S. Levchenkov
Publikováno v:
Computational Mathematics and Modeling. 19:217-229
A new quantitative definition of the “power index” is proposed for a voter in weighted voting systems (WV-schemes), where the voters a priori do not have equal rights. The proposed “power index” is generated in a self-consistent manner from i
Autor:
V. S. Levchenkov
Publikováno v:
Computational Mathematics and Modeling. 19:102-115
A new approach to the solution of one-step games is constructed, without using the concept of mixed strategy. The notion of a “set” solution of a bimatrix game is defined. It is shown that this solution always exists and may be found by a finite
Autor:
V. S. Levchenkov
Publikováno v:
Computational Mathematics and Modeling. 18:203-215
A new approach to the construction of utility under uncertainty is proposed. The approach relies on a binary relation on the set of outcomes of a probabilistic process. Kingman’s subadditive ergodic theorem is applied to prove the existence of a ut
Autor:
V. S. Levchenkov, L. G. Levchenkova
Publikováno v:
Computational Mathematics and Modeling. 18:42-54
Methods of symbolic dynamics are applied to construct a description of two-person supergames, i.e., games involving infinite repetition of the same basis matrix game. The behavior of players choosing their moves based only on information about the m
Autor:
V. S. Levchenkov, L. G. Levchenkova
Publikováno v:
Computational Mathematics and Modeling. 17:354-363
The article examines the solution of bargaining games on the basis of the previously proposed paradigm of stationary strategies in supergames. The value of axiomatic bargaining theory for choosing the unique solution in agreement games is considered.
Autor:
L. G. Levchenkova, V. S. Levchenkov
Publikováno v:
Computational Mathematics and Modeling. 17:254-273
The dynamic approach developed for the description of supergames is applied to problems in the theory of cooperation. New methods are proposed to describe game programs both in the standard prisoner’s dilemma format and in the nonstandard format al
Autor:
V. S. Levchenkov, L. G. Levchenkova
Publikováno v:
Computational Mathematics and Modeling. 17:88-96
The multirelation method originally developed for group choice problems is applied to study the formation of new links in a social network graph. A natural generalization of the “nearest neighbor” method is proposed for predicting the appearance