Mathematical and Computational Studies of Realistic Aspects of Social Contagions and Cascading Instabilities on Networks
Abstract
The proposed work will evaluate the role of Entropy in Naming Game formalisms to predict the role of minority in consensus formation. This work will be validated against available data from past presidential elections and other historical election eventts. It is based on the recent exact diagonalization of a large family of two urns models achieved by the PI and his student Pickering. These solvable models include many wellknown classical models such as the Voter model, theMoran model in genetics and the original Ehrenfest urn model. In extending solutions of these models including the Naming games to incomplete and sparse networks, the PI and his postdoc will formulate related social opinion dynamics problems as rational perturbations of these solvable ones. Using these methods, the Post-Doctoral Fellow will derive analytical solutions to the Naming Game formalism, and validate the analytical solution against data available from prior election cycles on the role of committed minority in arrival of consensus. Other applications that are relevant to the ARO pursuit of new and usable knowledge in the fields of mathematical and computational sociology, of these new and powerful exact solutions of the two urn models will also be studied.
Document Details
- Document Type
- DoD Grant Award
- Publication Date
- Apr 18, 2017
- Source ID
- W911NF1610396
Entities
People
- Chjan Lim
Organizations
- Army Contracting Command
- Rensselaer Polytechnic Institute
- United States Army