# Optimal majority threshold in a stochastic environment

## TL;DR

This paper derives analytical formulas for the optimal majority threshold in a stochastic social decision-making model, considering various environmental parameters and proposal distributions, to improve collective decision outcomes.

## Contribution

It provides the first analytical expressions for the optimal majority threshold in the ViSE model with continuous proposal distributions.

## Key findings

- Derived formulas for optimal majority thresholds
- Analyzed specific proposal distributions
- Enhanced understanding of decision thresholds in stochastic environments

## Abstract

Within the model of social dynamics determined by collective decisions in a stochastic environment (the ViSE model), we consider the case of a homogeneous society consisting of classically rational economic agents. We obtain analytical expressions for the optimal majority threshold as a function of the parameters of the environment, assuming that the proposals are generated by means of a continuous distribution. The cases of several specific distributions are considered in more detail.