60407 20190709135533.0 doi 10.3390/g8010001 sideral 97866 ART-2017-97866 eng (orcid)0000-0002-9769-8796 Gracia-Lázaro, C. Cognitive hierarchy theory and two-person games 2017 Access copy available to the general public Unrestricted The outcome of many social and economic interactions, such as stock-market transactions, is strongly determined by the predictions that agents make about the behavior of other individuals. Cognitive hierarchy theory provides a framework to model the consequences of forecasting accuracy that has proven to fit data from certain types of game theory experiments, such as Keynesian beauty contests and entry games. Here, we focus on symmetric two-player-two-action games and establish an algorithm to find the players’ strategies according to the cognitive hierarchy approach. We show that the snowdrift game exhibits a pattern of behavior whose complexity grows as the cognitive levels of players increases. In addition to finding the solutions up to the third cognitive level, we demonstrate, in this theoretical frame, two new properties of snowdrift games: (i) any snowdrift game can be characterized by only a parameter, its class; (ii) they are anti-symmetric with respect to the diagonal of the pay-off’s space. Finally, we propose a model based on an evolutionary dynamics that captures the main features of the cognitive hierarchy theory. info:eu-repo/grantAgreement/ES/MINECO/FIS2014-55867-P info:eu-repo/grantAgreement/EC/FP7/317532/EU/Foundational Research on MULTIlevel comPLEX networks and systems/MULTIPLEX info:eu-repo/grantAgreement/ES/DGA/E19 info:eu-repo/semantics/openAccess by http://creativecommons.org/licenses/by/3.0/es/ 0.242 2017 Applied Mathematics 2017 Q4 Statistics, Probability and Uncertainty 2017 Q4 Statistics and Probability 2017 Q4 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion (orcid)0000-0002-1406-8810 Floría, L.M. Universidad de Zaragoza (orcid)0000-0002-0895-1893 Moreno, Y. Universidad de Zaragoza 2004 405 Universidad de Zaragoza Dpto. Física Teórica Área Física Teórica 2003 395 Universidad de Zaragoza Dpto. Física Materia Condensa. Área Física Materia Condensada 8, 1 (2017), [18 pp.] Games Games 2073-4336 1836224 http://zaguan.unizar.es/record/60407/files/texto_completo.pdf Versión publicada 111661 http://zaguan.unizar.es/record/60407/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:60407 articulos driver 2019-07-09-12:03:34 ARTICLE