{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,1]],"date-time":"2026-04-01T07:41:17Z","timestamp":1775029277987,"version":"3.50.1"},"reference-count":25,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2011,7,21]],"date-time":"2011-07-21T00:00:00Z","timestamp":1311206400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Dyn Games Appl"],"published-print":{"date-parts":[[2011,9]]},"DOI":"10.1007\/s13235-011-0025-4","type":"journal-article","created":{"date-parts":[[2011,7,20]],"date-time":"2011-07-20T16:45:02Z","timestamp":1311180302000},"page":"462-477","source":"Crossref","is-referenced-by-count":17,"title":["The Diffusion Approximation of Stochastic Evolutionary Game Dynamics: Mean Effective Fixation Time and the Significance of the One-Third Law"],"prefix":"10.1007","volume":"1","author":[{"given":"Xiudeng","family":"Zheng","sequence":"first","affiliation":[]},{"given":"Ross","family":"Cressman","sequence":"additional","affiliation":[]},{"given":"Yi","family":"Tao","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2011,7,21]]},"reference":[{"key":"25_CR1","doi-asserted-by":"crossref","first-page":"296","DOI":"10.1016\/S0899-8256(03)00146-5","volume":"45","author":"K Binmore","year":"2003","unstructured":"Binmore K, Samuelson L, Young P (2003) Equilibrium selection in bargaining models. Games Econ Behav 45:296\u2013328","journal-title":"Games Econ Behav"},{"key":"25_CR2","doi-asserted-by":"crossref","first-page":"221","DOI":"10.1007\/s00182-008-0148-z","volume":"38","author":"R Cressman","year":"2009","unstructured":"Cressman R (2009) Continuously stable strategies, neighborhood superiority and two-player games with continuous strategy space. Int J Game Theory 38:221\u2013247","journal-title":"Int J Game Theory"},{"key":"25_CR3","doi-asserted-by":"crossref","DOI":"10.1007\/978-0-387-21822-9","volume-title":"Mathematical population genetics","author":"WJ Ewens","year":"2004","unstructured":"Ewens WJ (2004) Mathematical population genetics. Springer, New York"},{"key":"25_CR4","doi-asserted-by":"crossref","first-page":"219","DOI":"10.1016\/0040-5809(90)90011-J","volume":"38","author":"DP Foster","year":"1990","unstructured":"Foster DP, Young HP (1990) Stochastic evolutionary game dynamics. Theor Popul Biol 38:219\u2013232","journal-title":"Theor Popul Biol"},{"key":"25_CR5","doi-asserted-by":"crossref","first-page":"63","DOI":"10.1007\/978-0-8176-4556-4_6","volume-title":"Mathematical modeling of biological systems","author":"J Garay","year":"2008","unstructured":"Garay J (2008) Relative advantage and fundamental theorems of natural selection. In: Mathematical modeling of biological systems, vol\u00a0II. Birkhauser, Boston, pp\u00a063\u201374"},{"key":"25_CR6","volume-title":"A\u00a0general theory of equilibrium selection in games","author":"JC Harsanyi","year":"1988","unstructured":"Harsanyi JC, Selten R (1988) A\u00a0general theory of equilibrium selection in games. MIT Press, Cambridge"},{"key":"25_CR7","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9781139173179","volume-title":"Evolutionary games and population dynamics","author":"J Hofbauer","year":"1998","unstructured":"Hofbauer J, Sigmund K (1998) Evolutionary games and population dynamics. Cambridge University Press, Cambridge"},{"key":"25_CR8","doi-asserted-by":"crossref","first-page":"667","DOI":"10.1007\/s00285-005-0369-8","volume":"52","author":"LA Imhof","year":"2006","unstructured":"Imhof LA, Nowak MA (2006) Evolutionary game dynamics in a Wright-Fisher process. J\u00a0Math Biol 52:667\u2013681","journal-title":"J\u00a0Math Biol"},{"key":"25_CR9","doi-asserted-by":"crossref","first-page":"29","DOI":"10.2307\/2951777","volume":"61","author":"M Kandori","year":"1993","unstructured":"Kandori M, Mailath GJ, Rob R (1993) Learning, mutation, and long-run equilibria in games. Econometrica 61:29\u201356","journal-title":"Econometrica"},{"key":"25_CR10","doi-asserted-by":"crossref","first-page":"177","DOI":"10.2307\/3211856","volume":"1","author":"M Kimura","year":"1964","unstructured":"Kimura M (1964) Diffusion models in population genetics. J\u00a0Appl Probab 1:177\u2013232","journal-title":"J\u00a0Appl Probab"},{"key":"25_CR11","doi-asserted-by":"crossref","unstructured":"Lessard S (2011) On the robustness of the extension of the one-third law of evolution to the multi-player game. Dyn Games Appl (forthcoming)","DOI":"10.1007\/s13235-011-0010-y"},{"key":"25_CR12","doi-asserted-by":"crossref","first-page":"721","DOI":"10.1007\/s00285-007-0069-7","volume":"54","author":"S Lessard","year":"2007","unstructured":"Lessard S, Ladret V (2007) The probability of fixation of a single mutant in an exchangeable selection model. J\u00a0Math Biol 54:721\u2013744","journal-title":"J\u00a0Math Biol"},{"key":"25_CR13","doi-asserted-by":"crossref","first-page":"15","DOI":"10.1038\/246015a0","volume":"246","author":"J Maynard\u00a0Smith","year":"1973","unstructured":"Maynard\u00a0Smith J, Price GR (1973) The logic of animal conflict. Nature 246:15\u201318","journal-title":"Nature"},{"key":"25_CR14","doi-asserted-by":"crossref","first-page":"145","DOI":"10.2307\/2951700","volume":"63","author":"S Morris","year":"1995","unstructured":"Morris S, Rob R, Shin HS (1995) Dominance and belief potential. Econometrica 63:145\u2013157","journal-title":"Econometrica"},{"key":"25_CR15","doi-asserted-by":"crossref","DOI":"10.2307\/j.ctvjghw98","volume-title":"Evolutionary dynamics","author":"MA Nowak","year":"2006","unstructured":"Nowak MA (2006) Evolutionary dynamics. Harvard University Press, Cambridge"},{"key":"25_CR16","doi-asserted-by":"crossref","first-page":"646","DOI":"10.1038\/nature02414","volume":"428","author":"MA Nowak","year":"2004","unstructured":"Nowak MA, Sasaki A, Taylor C, Fudenberg D (2004) Emergence of cooperation and evolutionary stability in finite populations. Nature 428:646\u2013650","journal-title":"Nature"},{"key":"25_CR17","doi-asserted-by":"crossref","first-page":"289","DOI":"10.1016\/j.jtbi.2007.07.005","volume":"249","author":"H Ohtsuki","year":"2007","unstructured":"Ohtsuki H, Bordalo P, Nowak MA (2007) The one-third law of evolutionary dynamics. J\u00a0Theor Biol 249:289\u2013295","journal-title":"J\u00a0Theor Biol"},{"key":"25_CR18","volume-title":"The Fokker\u2013Planck equation: methods of solution and applications","author":"H Risken","year":"1992","unstructured":"Risken H (1992) The Fokker\u2013Planck equation: methods of solution and applications. Springer, Berlin"},{"key":"25_CR19","volume-title":"Population games and evolutionary dynamics","author":"WH Sandholm","year":"2010","unstructured":"Sandholm WH (2010) Population games and evolutionary dynamics. MIT Press, Cambridge"},{"key":"25_CR20","doi-asserted-by":"crossref","first-page":"1621","DOI":"10.1016\/j.bulm.2004.03.004","volume":"66","author":"C Taylor","year":"2004","unstructured":"Taylor C, Fudenberg D, Sasaki A, Nowak MA (2004) Evolutionary game dynamics in finite populations. Bull Math Biol 66:1621\u20131644","journal-title":"Bull Math Biol"},{"key":"25_CR21","volume-title":"Reviews of nonlinear dynamics and complexity","author":"A Traulsen","year":"2009","unstructured":"Traulsen A, Hauert C (2009) Stochastic evolutionary game dynamics. In: Schuster HG (ed) Reviews of nonlinear dynamics and complexity, vol\u00a0II. Wiley-VCH, New York"},{"key":"25_CR22","volume":"74","author":"A Traulsen","year":"2006","unstructured":"Traulsen A, Claussen JC, Hauert C (2006) Coevolutionary dynamics in large, but finite populations. Phys Rev E 74:011901","journal-title":"Phys Rev E"},{"key":"25_CR23","volume":"74","author":"A Traulsen","year":"2006","unstructured":"Traulsen A, Pacheco JM, Imhof LA (2006) Stochasticity and evolutionary stability. Phys Rev E 74:021905","journal-title":"Phys Rev E"},{"key":"25_CR24","volume-title":"Stochastic processes in physics and chemistry","author":"NG Kampen van","year":"1992","unstructured":"van Kampen NG (1992) Stochastic processes in physics and chemistry. Elsevier, Amsterdam"},{"key":"25_CR25","volume":"82","author":"B Wu","year":"2010","unstructured":"Wu B, Altrock PM, Wang L, Traulsen A (2010) Universality of weak selection. Phys Rev E 82:046106","journal-title":"Phys Rev E"}],"container-title":["Dynamic Games and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s13235-011-0025-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s13235-011-0025-4\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s13235-011-0025-4","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,6,21]],"date-time":"2020-06-21T13:03:29Z","timestamp":1592744609000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s13235-011-0025-4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,7,21]]},"references-count":25,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2011,9]]}},"alternative-id":["25"],"URL":"https:\/\/doi.org\/10.1007\/s13235-011-0025-4","relation":{},"ISSN":["2153-0785","2153-0793"],"issn-type":[{"value":"2153-0785","type":"print"},{"value":"2153-0793","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,7,21]]}}}