Fixation of Strategies for an Evolutionary Game in Finite Populations Export

@article{citeulike:1890084, abstract = {Abstract\ \ A stochastic evolutionary dynamics of two strategies given by 2 2 matrix games is studied in finite populations. We focus on stochastic properties of fixation: how a strategy represented by a single individual wins over the entire population. The process is discussed in the framework of a random walk with site dependent hopping rates. The time of fixation is found to be identical for both strategies in any particular game. The asymptotic behavior of the fixation time and fixation probabilities in the large population size limit is also discussed. We show that fixation is fast when there is at least one pure evolutionary stable strategy (ESS) in the infinite population size limit, while fixation is slow when the ESS is the coexistence of the two strategies.}, author = {Antal, Tibor and Scheuring, Istv\'{a}n}, citeulike-article-id = {1890084}, citeulike-linkout-0 = {http://dx.doi.org/10.1007/s11538-006-9061-4}, citeulike-linkout-1 = {http://www.springerlink.com/content/u45800076q368327}, day = {1}, doi = {10.1007/s11538-006-9061-4}, journal = {Bulletin of Mathematical Biology}, keywords = {evolutionary-game, finite-population, fixation}, month = {November}, number = {8}, pages = {1923--1944}, posted-at = {2009-10-21 10:44:29}, priority = {2}, title = {Fixation of Strategies for an Evolutionary Game in Finite Populations}, url = {http://dx.doi.org/10.1007/s11538-006-9061-4}, volume = {68}, year = {2006} }

TY - JOUR ID - citeulike:1890084 L3 - citeulike-article-id:1890084 N2 - Abstract  A stochastic evolutionary dynamics of two strategies given by 2 2 matrix games is studied in finite populations. We focus on stochastic properties of fixation: how a strategy represented by a single individual wins over the entire population. The process is discussed in the framework of a random walk with site dependent hopping rates. The time of fixation is found to be identical for both strategies in any particular game. The asymptotic behavior of the fixation time and fixation probabilities in the large population size limit is also discussed. We show that fixation is fast when there is at least one pure evolutionary stable strategy (ESS) in the infinite population size limit, while fixation is slow when the ESS is the coexistence of the two strategies. IS - 8 JF - Bulletin of Mathematical Biology EP - 1944 TI - Fixation of Strategies for an Evolutionary Game in Finite Populations VL - 68 SP - 1923 KW - evolutionary-game KW - finite-population KW - fixation AU - Antal, Tibor AU - Scheuring, István PY - 2006/11/01/ UR - http://dx.doi.org/10.1007/s11538-006-9061-4 ER -