Berlin 2024 – wissenschaftliches Programm
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SOE: Fachverband Physik sozio-ökonomischer Systeme
SOE 16: Social Systems, Opinion and Group Dynamics
SOE 16.7: Vortrag
Mittwoch, 20. März 2024, 17:15–17:30, MA 001
Individual bias and fluctuations in collective decision making: From algorithms to Hamiltonians. — Petro Sarkanych1, Yunus Sevinchan2,3, Mariana Krasnytska1, Luis Alberto Gomez-Nava4, Abi Tenenbaum5, Yurij Holovatch1, and •Pawel Romanczuk2,3 — 1Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine, Lviv, Ukraine — 2Dep. of Biology, Humboldt Universität zu Berlin, Germany — 3Excellence cluster "Science of Intelligence", Berlin, Germany — 4Laboratoire Matière et Systèmes Complexes, Université Paris Cité, France — 5Yale University, USA
We investigate a spin model proposed by [Hartnett et al., Phys. Rev. Lett. 116 038701 (2016)] for understanding collective decision-making in higher organisms. The model uses opinion and bias variables to represent agents' states, interpreting decision-making as an approach to equilibrium in a nonlinear voter model with social pressure. We extend the model by introducing noise, and push the statistical physics interpretation further by deriving the Hamiltonian and calculating the partition function, revealing two possible Hamiltonian formulations based on different considerations on social interactions. Exact solutions for thermodynamics on complete graphs are obtained and validated through simulations. Further, we explore the impact of system size and initial conditions on collective decision-making. We also analyze the spin model on Erdos-Renyi random graphs, discussing susceptibility, critical points, and the network's response to a periodic external field.
Keywords: collective decision making; opinion dynamics; networks