I will survey some of the main opinion exchange dynamics models that were invented in probability theory and in economics.
I will then discuss ``martingale models" - models where the opinion of each agent forms a martingale.
I will highlight some recent large-deviation and graph-limit perspectives of these models.
Based on:
Mossel, Elchanan, Allan Sly, and Omer Tamuz. "Asymptotic learning on bayesian social networks." Probability Theory and Related Fields 158.1-2 (2014): 127-157.
Mossel, Elchanan, Allan Sly, and Omer Tamuz. "Strategic learning and the topology of social networks." Econometrica 83.5 (2015): 1755-1794.
Mossel, Elchanan, and Omer Tamuz. "Opinion exchange dynamics." Probability Surveys 14 (2017): 155-204.
Harel, Matan, Elchanan Mossel, Philipp Strack, and Omer Tamuz. "Rational groupthink." The Quarterly Journal of Economics 136, no. 1 (2021): 621-668.