6533b851fe1ef96bd12a8cdb

RESEARCH PRODUCT

Dynamics in stochastic evolutionary models

David K. LevineDavid K. LevineSalvatore Modica

subject

Markov chain05 social sciencesDynamics (music)0502 economics and businessErgodic theory050207 economicsChinaGeneral Economics Econometrics and FinanceMathematical economicsCommunismEvolutionary theory050205 econometrics MathematicsStable state

description

We characterize transitions between stochastically stable states and relative ergodic probabilities in the theory of the evolution of conventions. We give an application to the fall of hegemonies in the evolutionary theory of institutions and conflict, and illustrate the theory with the fall of the Qing dynasty and the rise of communism in China.

https://doi.org/10.3982/te1978