Cognitive hierarchy theory and two-person games

Gracia-Lázaro, C. ; Floría, L.M. (Universidad de Zaragoza) ; Moreno, Y. (Universidad de Zaragoza)
Cognitive hierarchy theory and two-person games
Financiación FP7 / Fp7 Funds
Resumen: 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.
Idioma: Inglés
DOI: 10.3390/g8010001
Año: 2017
Publicado en: Games 8, 1 (2017), [18 pp.]
ISSN: 2073-4336

Factor impacto SCIMAGO: 0.242 - Applied Mathematics (Q4) - Statistics, Probability and Uncertainty (Q4) - Statistics and Probability (Q4)

Financiación: info:eu-repo/grantAgreement/ES/DGA/E19
Financiación: info:eu-repo/grantAgreement/EC/FP7/317532/EU/Foundational Research on MULTIlevel comPLEX networks and systems/MULTIPLEX
Financiación: info:eu-repo/grantAgreement/ES/MINECO/FIS2014-55867-P
Tipo y forma: Artículo (Versión definitiva)
Área (Departamento): Área Física Teórica (Dpto. Física Teórica)
Área (Departamento): Área Física Materia Condensada (Dpto. Física Materia Condensa.)


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