Dynamics in stochastic evolutionary models
نویسندگان
چکیده
منابع مشابه
Dynamics in stochastic evolutionary models
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 con ict and illustrate the theory with the fall of the Qing Dynasty and rise of Communism in China. JEL Classi cation Numbers: C73 (Evolutionary Games)
متن کاملSupplementary Appendix to Dynamics in stochastic evolutionary models
Proof. The rst inequality was proven in the Lemma on short loops in the Appendix to the paper. The second makes use of the fact that in the course of proving that Lemma we used only the fact that all the loops ended at the same target and that all had the same transition probability at the end. If we replace the unique nal transition probability with the maximum over all nal transition probabil...
متن کاملStochastic tunnels in evolutionary dynamics.
We study a situation that arises in the somatic evolution of cancer. Consider a finite population of replicating cells and a sequence of mutations: type 0 can mutate to type 1, which can mutate to type 2. There is no back mutation. We start with a homogeneous population of type 0. Mutants of type 1 emerge and either become extinct or reach fixation. In both cases, they can generate type 2, whic...
متن کاملStochastic Evolutionary Game Dynamics
Game theory is often described as the study of interactive decision-making by rational agents. However, there are numerous applications of game theory where the agents are not fully rational, yet many of the conclusions remain valid. A case in point is biological competition between species, a topic pioneered by Maynard Smith and Price (1973). In this setting the ‘agents’ are representatives of...
متن کاملStochastic evolutionary game dynamics
1.1 Game theory and evolution Modern game theory goes back to a series of papers by the mathematician John von Neumann in the 1920s. This program started a completely new branch of social sciences and applied mathematics. This early work on game theory is summarized in the seminal book " The Theory of Games and Economic Behavior " by John von Neumann and Oskar Morgenstern [115]. Initially , gam...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Theoretical Economics
سال: 2016
ISSN: 1933-6837
DOI: 10.3982/te1978