Networks of coupled dynamics in decision-making process

• Grant number: 24/08713-0
• Support Opportunities: Scholarships in Brazil - Master
• Start date: November 01, 2024
• End date: October 31, 2026
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Míriam Garcia Manoel
• Grantee: Nícolas da Rocha Brito
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Associated research grant: 19/21181-0 - New frontiers in Singularity Theory, AP.TEM

Abstract

This project deals with decision-making processes under the formalism of synchronies in networks of coupled dynamic systems. The topic has been addressed in various works, mainly using the Analytic Hierarchy Process (AHP) method. Recently, in 2023, an approach using graphs in networks of coupled systems was established to study decision configurations as bifurcation phenomena arising from the breakdown of synchrony in a pattern of indecision. The proposal aims to integrate both approaches, arriving at a formalism to address the issue where multiple agents are involved, and the influences of different agents have distinct weights among them.