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SOE: Fachverband Physik sozio-ökonomischer Systeme
SOE 16: Collective Dynamics in Animal and Human Societies
SOE 16.1: Talk
Thursday, March 30, 2023, 11:00–11:15, ZEU 260
Individual bias and fluctuations in collective decision making: from algorithms to Hamiltonians — •Mariana Krasnytska1,2,3, Petro Sarkanych1,2, Luis Gómez-Nava4,5, Pawel Romanczuk4,5, and Yurij Holovatch1,2,6 — 1ICMP, NAS of Ukraine, Lviv, Ukraine — 2L4 Collaboration Leipzig-Lorraine-Lviv-Coventry — 3Université de Lorraine, Nancy, France — 4Humboldt Universität zu Berlin, Germany — 5Research Cluster of Excellence "Science of Intelligence", Berlin, Germany — 6Coventry University, UK
We reconsider the spin model suggested recently to understand some features of collective decision making among higher organisms [A.T. Hartnett et al., Phys. Rev. Lett. 116 (2016) 038701]. Within the model, the state of an agent is described by the pair of variables corresponding to its opinion and a bias towards any of the opposing opinions. Collective decision making is interpreted within the non-linear voter model subject to social pressure. Here, we push such physical analogy further and give the statistical physics interpretation of the model via explicit calculation of its partition function. In such interpretation, the temperature serves as a measure of fluctuations that were not taken into account within the original formulation. We find exact solutions for the thermodynamics and dynamics of the model on the complete graph. We discuss the advantages and flaws of such an approach as well as its utility in understanding the impact of population heterogeneity, type of local interaction and fluctuations in collective decision making [arxiv.org/abs/2302.12945].