Conditional Fixation Time of Wright-Fisher Process under Weak Selection
Evolutionary game dynamics in finite populations can be described by frequency dependent process. The fixation times of birth-death process whose transition matrix is tri-diagonal have been derived under weak selection. But analytical approximations of the conditional fixation times under weak selection are difficult to obtain by similar approaches when the transition matrix of the process is not tri-diagonal. In this paper, we study the conditional fixation times of Wright-Fisher process whose transition matrix is not tri-diagonal in a symmetric game between two strategies A and B. The approach in our paper can work for general Markov processes of any form of transition matrix.
Evolutionary game Finite population Conditional Fixation time Wright-Fisher process Weak selection.
Xiafei Li Xinsheng Liu
Academy of Frontier Science, and College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
国际会议
南京
英文
97-100
2010-07-29（万方平台首次上网日期，不代表论文的发表时间）