Investigation of A Collective Decision Making System of Different Neighbourhood-Size Based on Hyper-Geometric Distribution

TL;DR

This paper models a collective decision-making system using hyper-geometric distribution, analyzing how different neighborhood sizes influence system behavior, with implications for swarm intelligence research.

Contribution

It introduces a generalized analytical model for collective decision making based on hyper-geometric distribution considering various group sizes.

Findings

Behavior varies with neighborhood size

Derived a stochastic model using hyper-geometric distribution

Provides insights into swarm decision dynamics

Abstract

The study of collective decision making system has become the central part of the Swarm- Intelligence Related research in recent years. The most challenging task of modelling a collec- tive decision making system is to develop the macroscopic stochastic equation from its microscopic model. In this report we have investigated the behaviour of a collective decision making system with specified microscopic rules that resemble the chemical reaction and used different group size. Then we ventured to derive a generalized analytical model of a collective-decision system using hyper-geometric distribution. Index Terms-swarm; collective decision making; noise; group size; hyper-geometric distribution