Two-component societies in the ViSE model: how the level of cooperation and voting threshold affect the capital dynamics

Under the assumptions of the ViSE model, representations of the expected capital gains in societies consisting of a group and egoists are obtained. In the general case, finding these quantities requires integration; for the case of a Gaussian proposal generator, explicit expressions are obtained for them. The dependences of these quantities on the level of cooperation and the voting threshold are investigated: for Gaussian and symmetrized Pareto distributions of stochastic proposals, a neutral and unfavorable environment, a constant and non-constant number of participants. These dependencies are represented by surfaces in . Conditions that determine the comparative effectiveness of group and egoistic strategies, as well as the benefits of society as a whole, are discussed.