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A. K. Loginov

Publications and source records attributed to A. K. Loginov.

4 recordsLinked to original sources
arXiv2018

The Optimal Majority Threshold as a Function of the Variation Coefficient of the Environment

Within the model of social dynamics determined by collective decisions in a stochastic environment (ViSE model), we consider the case of a homogeneous society consisting of classically rational economic agents (or homines economici, or egoists). We present expressions for the optimal majority threshold and the maximum expected capital increment as functions of the parameters of the environment. An estimate of the rate of change of the optimal threshold at zero is given, which is an absolute constant: $(\sqrt{2/π}-\sqrt{π/2})/2$.

math.OC↗
arXiv2011

Voting in a Stochastic Environment: The Case of Two Groups

Social dynamics determined by voting in a stochastic environment is analyzed for a society composed of two cohesive groups of similar size. Within the model of random walks determined by voting, explicit formulas are derived for the capital increments of the groups against the parameters of the environment and "claim thresholds" of the groups. The "unanimous acceptance" and "unanimous rejection" group rules are considered as the voting procedures. Claim thresholds are evaluated that are most beneficial to the participants of the groups and to the society as a whole.

cs.MA↗
arXiv2009

Strategies of Voting in Stochastic Environment: Egoism and Collectivism

Consideration was given to a model of social dynamics controlled by successive collective decisions based on the threshold majority procedures. The current system state is characterized by the vector of participants' capitals (utilities). At each step, the voters can either retain their status quo or accept the proposal which is a vector of the algebraic increments in the capitals of the participants. In this version of the model, the vector is generated stochastically. Comparative utility of two social attitudes--egoism and collectivism--was analyzed. It was established that, except for some special cases, the collectivists have advantages, which makes realizable the following scenario: on the conditions of protecting the corporate interests, a group is created which is joined then by the egoists attracted by its achievements. At that, group egoism approaches altruism. Additionally, one of the considered variants of collectivism handicaps manipulation of voting by the organizers.

math.OC↗