Convergence times in large coordination games and Ising models
(based on joint work with A. Saberi and Y. Kanoria)
Social
network data are increasingly available and comprehensive. This raises
the possibility of to study a number of social and economic phenomena
and their dependence on the underlying network structure. Here we
consider a family of classical game theoretic models: coordination
games under noisy best response dynamics, and their statistical
mechanics analogues, Ising model.
Since the pioneering work
of Ellison (1993), specific network structures have been shown to have
dramatic influence on the convergence behavior of such networks. The
objective of this talk is to translate this intuition into effective
algorithms.