{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,20]],"date-time":"2025-09-20T18:49:37Z","timestamp":1758394177643},"reference-count":24,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2013,4,24]],"date-time":"2013-04-24T00:00:00Z","timestamp":1366761600000},"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":[[2014,3]]},"DOI":"10.1007\/s13235-013-0082-y","type":"journal-article","created":{"date-parts":[[2013,5,1]],"date-time":"2013-05-01T03:07:29Z","timestamp":1367377649000},"page":"95-106","source":"Crossref","is-referenced-by-count":4,"title":["Probabilistic Interpretations of Integrability for Game Dynamics"],"prefix":"10.1007","volume":"4","author":[{"given":"William H.","family":"Sandholm","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2013,4,24]]},"reference":[{"key":"82_CR1","doi-asserted-by":"crossref","first-page":"6289","DOI":"10.1109\/CDC.2006.376684","volume-title":"Proceedings of the 45th IEEE conference on decision and control","author":"G Arslan","year":"2006","unstructured":"Arslan G, Shamma JS (2006) Anticipatory learning in general evolutionary games. In: Proceedings of the 45th IEEE conference on decision and control, pp\u00a06289\u20136294"},{"key":"82_CR2","doi-asserted-by":"crossref","first-page":"873","DOI":"10.1111\/1468-0262.00429","volume":"71","author":"M Bena\u00efm","year":"2003","unstructured":"Bena\u00efm M, Weibull JW (2003) Deterministic approximation of stochastic evolution in games. Econometrica 71:873\u2013903","journal-title":"Econometrica"},{"key":"82_CR3","first-page":"336","volume-title":"Proceedings of the international conference of mathematicians 1954","author":"D Blackwell","year":"1956","unstructured":"Blackwell D (1956) Controlled random walks. In: Gerretsen JCH, Groot JD (eds) Proceedings of the international conference of mathematicians 1954, vol 3. North Holland, Amsterdam, pp\u00a0336\u2013338"},{"key":"82_CR4","unstructured":"Brown GW (1949) Some notes on computation of games solutions. Report P-78, The Rand Corporation"},{"key":"82_CR5","first-page":"374","volume-title":"Activity analysis of production and allocation","author":"GW Brown","year":"1951","unstructured":"Brown GW (1951) Iterative solutions of games by fictitious play. In: Koopmans TC et al. (eds) Activity analysis of production and allocation. Wiley, New York, pp 374\u2013376"},{"key":"82_CR6","series-title":"Annals of mathematics studies","first-page":"73","volume-title":"Contributions to the theory of games I","author":"GW Brown","year":"1950","unstructured":"Brown GW, von Neumann J (1950) Solutions of games by differential equations. In: Kuhn HW, Tucker AW (eds) Contributions to the theory of games I. Annals of mathematics studies, vol\u00a024. Princeton University Press, Princeton, pp\u00a073\u201379"},{"key":"82_CR7","doi-asserted-by":"crossref","first-page":"320","DOI":"10.1006\/game.1993.1021","volume":"5","author":"D Fudenberg","year":"1993","unstructured":"Fudenberg D, Kreps DM (1993) Learning mixed equilibria. Games Econ Behav 5:320\u2013367","journal-title":"Games Econ Behav"},{"key":"82_CR8","volume-title":"The theory of learning in games","author":"D Fudenberg","year":"1998","unstructured":"Fudenberg D, Levine DK (1998) The theory of learning in games. MIT Press, Cambridge"},{"key":"82_CR9","series-title":"Annals of mathematics studies","first-page":"97","volume-title":"Contributions to the theory of games III","author":"J Hannan","year":"1957","unstructured":"Hannan J (1957) Approximation to Bayes risk in repeated play. In: Dresher M, Tucker AW, Wolfe P (eds) Contributions to the theory of games III. Annals of mathematics studies, vol\u00a039. Princeton University Press, Princeton, pp\u00a097\u2013139"},{"key":"82_CR10","doi-asserted-by":"crossref","first-page":"1401","DOI":"10.1111\/j.1468-0262.2005.00625.x","volume":"73","author":"S Hart","year":"2005","unstructured":"Hart S (2005) Adaptive heuristics. Econometrica 73:1401\u20131430","journal-title":"Econometrica"},{"key":"82_CR11","doi-asserted-by":"crossref","first-page":"26","DOI":"10.1006\/jeth.2000.2746","volume":"98","author":"S Hart","year":"2001","unstructured":"Hart S, Mas-Colell A (2001) A general class of adaptive strategies. J Econ Theory 98:26\u201354","journal-title":"J Econ Theory"},{"key":"82_CR12","doi-asserted-by":"crossref","first-page":"81","DOI":"10.1556\/Select.1.2000.1-3.8","volume":"1","author":"J Hofbauer","year":"2000","unstructured":"Hofbauer J (2000) From Nash and Brown to Maynard Smith: equilibria, dynamics, and ESS. Selection 1:81\u201388","journal-title":"Selection"},{"key":"82_CR13","doi-asserted-by":"crossref","first-page":"2265","DOI":"10.1111\/1468-0262.00376","volume":"70","author":"J Hofbauer","year":"2002","unstructured":"Hofbauer J, Sandholm WH (2002) On the global convergence of stochastic fictitious play. Econometrica 70:2265\u20132294","journal-title":"Econometrica"},{"key":"82_CR14","doi-asserted-by":"crossref","first-page":"1665","DOI":"10.1016\/j.jet.2009.01.007","volume":"144","author":"J Hofbauer","year":"2009","unstructured":"Hofbauer J, Sandholm WH (2009) Stable games and their dynamics. J Econ Theory 144:1665\u20131693","journal-title":"J Econ Theory"},{"key":"82_CR15","doi-asserted-by":"crossref","first-page":"15","DOI":"10.1038\/246015a0","volume":"246","author":"J Maynard Smith","year":"1973","unstructured":"Maynard Smith J, Price GR (1973) The logic of animal conflict. Nature 246:15\u201318","journal-title":"Nature"},{"key":"82_CR16","doi-asserted-by":"crossref","first-page":"124","DOI":"10.1006\/game.1996.0044","volume":"14","author":"D Monderer","year":"1996","unstructured":"Monderer D, Shapley LS (1996) Potential games. Games Econ Behav 14:124\u2013143","journal-title":"Games Econ Behav"},{"key":"82_CR17","doi-asserted-by":"crossref","first-page":"525","DOI":"10.1137\/110844192","volume":"51","author":"G Roth","year":"2013","unstructured":"Roth G, Sandholm WH (2013) Stochastic approximations with constant step size and differential inclusions. SIAM J Control Optim 51:525\u2013555","journal-title":"SIAM J Control Optim"},{"key":"82_CR18","doi-asserted-by":"crossref","first-page":"81","DOI":"10.1006\/jeth.2000.2696","volume":"97","author":"WH Sandholm","year":"2001","unstructured":"Sandholm WH (2001) Potential games with continuous player sets. J Econ Theory 97:81\u2013108","journal-title":"J Econ Theory"},{"key":"82_CR19","doi-asserted-by":"crossref","first-page":"149","DOI":"10.1016\/j.jet.2005.02.003","volume":"124","author":"WH Sandholm","year":"2005","unstructured":"Sandholm WH (2005) Excess payoff dynamics and other well-behaved evolutionary dynamics. J Econ Theory 124:149\u2013170","journal-title":"J Econ Theory"},{"key":"82_CR20","doi-asserted-by":"crossref","first-page":"1710","DOI":"10.1016\/j.jet.2009.02.004","volume":"144","author":"WH Sandholm","year":"2009","unstructured":"Sandholm WH (2009) Large population potential games. J Econ Theory 144:1710\u20131725","journal-title":"J Econ Theory"},{"key":"82_CR21","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":"82_CR22","doi-asserted-by":"crossref","first-page":"312","DOI":"10.1109\/TAC.2005.843878","volume":"50","author":"JS Shamma","year":"2005","unstructured":"Shamma JS, Arslan G (2005) Dynamic fictitious play, dynamic gradient play, and distributed convergence to Nash equilibria. IEEE Trans Autom Control 50:312\u2013327","journal-title":"IEEE Trans Autom Control"},{"key":"82_CR23","first-page":"165","volume":"69","author":"JW Weibull","year":"1996","unstructured":"Weibull JW (1996) The mass action interpretation. Excerpt from \u2018The work of John Nash in game theory: Nobel seminar, December 8, 1994\u2019. J Econ Theory 69:165\u2013171","journal-title":"J Econ Theory"},{"key":"82_CR24","doi-asserted-by":"crossref","DOI":"10.1093\/acprof:oso\/9780199269181.001.0001","volume-title":"Strategic learning and its limits","author":"HP Young","year":"2004","unstructured":"Young HP (2004) Strategic learning and its limits. Oxford University Press, Oxford"}],"container-title":["Dynamic Games and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s13235-013-0082-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s13235-013-0082-y\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s13235-013-0082-y","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,2]],"date-time":"2019-06-02T11:14:48Z","timestamp":1559474088000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s13235-013-0082-y"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,4,24]]},"references-count":24,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2014,3]]}},"alternative-id":["82"],"URL":"https:\/\/doi.org\/10.1007\/s13235-013-0082-y","relation":{},"ISSN":["2153-0785","2153-0793"],"issn-type":[{"value":"2153-0785","type":"print"},{"value":"2153-0793","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,4,24]]}}}