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A quantum-like model for complementarity of preferences and beliefs in dilemma games

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Abstract
We propose a formal model to explain the mutual influence between observed behavior and subjects' elicited beliefs in an experimental sequential prisoner's dilemma. Three channels of interaction can be identified in the data set and we argue that two of these effects have a non-classical nature as shown, for example, by a violation of the sure thing principle. Our model explains the three effects by assuming preferences and beliefs in the game to be complementary. We employ non-orthogonal subspaces of beliefs in line with the literature on positive-operator valued measure. Statistical fit of the model reveals successful predictions.
Keywords
positive-operator valued measure, beliefs, preferences, sequential prisoner's dilemma, consensus effect

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MLA
Denolf, Jacob, et al. “A Quantum-like Model for Complementarity of Preferences and Beliefs in Dilemma Games.” JOURNAL OF MATHEMATICAL PSYCHOLOGY, vol. 78, 2017, pp. 96–106.
APA
Denolf, J., Martínez-Martínez, I., Josephy, H., & Barque-Duran, A. (2017). A quantum-like model for complementarity of preferences and beliefs in dilemma games. JOURNAL OF MATHEMATICAL PSYCHOLOGY, 78, 96–106.
Chicago author-date
Denolf, Jacob, Ismael Martínez-Martínez, Haeike Josephy, and Albert Barque-Duran. 2017. “A Quantum-like Model for Complementarity of Preferences and Beliefs in Dilemma Games.” JOURNAL OF MATHEMATICAL PSYCHOLOGY 78: 96–106.
Chicago author-date (all authors)
Denolf, Jacob, Ismael Martínez-Martínez, Haeike Josephy, and Albert Barque-Duran. 2017. “A Quantum-like Model for Complementarity of Preferences and Beliefs in Dilemma Games.” JOURNAL OF MATHEMATICAL PSYCHOLOGY 78: 96–106.
Vancouver
1.
Denolf J, Martínez-Martínez I, Josephy H, Barque-Duran A. A quantum-like model for complementarity of preferences and beliefs in dilemma games. JOURNAL OF MATHEMATICAL PSYCHOLOGY. 2017;78:96–106.
IEEE
[1]
J. Denolf, I. Martínez-Martínez, H. Josephy, and A. Barque-Duran, “A quantum-like model for complementarity of preferences and beliefs in dilemma games,” JOURNAL OF MATHEMATICAL PSYCHOLOGY, vol. 78, pp. 96–106, 2017.
@article{8088075,
  abstract     = {{We propose a formal model to explain the mutual influence between observed behavior and subjects' elicited beliefs in an experimental sequential prisoner's dilemma. Three channels of interaction can be identified in the data set and we argue that two of these effects have a non-classical nature as shown, for example, by a violation of the sure thing principle. Our model explains the three effects by assuming preferences and beliefs in the game to be complementary. We employ non-orthogonal subspaces of beliefs in line with the literature on positive-operator valued measure. Statistical fit of the model reveals successful predictions.}},
  author       = {{Denolf, Jacob and Martínez-Martínez, Ismael and Josephy, Haeike and Barque-Duran, Albert}},
  issn         = {{0022-2496}},
  journal      = {{JOURNAL OF MATHEMATICAL PSYCHOLOGY}},
  keywords     = {{positive-operator valued measure,beliefs,preferences,sequential prisoner's dilemma,consensus effect}},
  language     = {{eng}},
  pages        = {{96--106}},
  title        = {{A quantum-like model for complementarity of preferences and beliefs in dilemma games}},
  url          = {{http://dx.doi.org/10.1016/j.jmp.2016.09.004}},
  volume       = {{78}},
  year         = {{2017}},
}

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