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Do preferences and beliefs in dilemma games exhibit complementarity?

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Abstract
Blanco et. al. (2014) show in a novel experiment the presence of intrinsic interactions between the preferences and the beliefs of participants in social dilemma games. They discuss the identification of three effects, and we claim that two of them are inherently of non-classical nature. Here, we discuss qualitatively how a model based on complementarity between preferences and beliefs in a Hilbert space can give an structural explanation to two of the three effects the authors observe, and the third one can be incorporated into the model as a classical correlation between the observations in two subspaces. Quantitative formalization of the model and proper fit to the experimental observation will be done in the near future, as we have been given recent access to the original dataset.
Keywords
quantum-like preferences and beliefs, consensus effect, social projection, complementarity, sequential Prisoner's Dilemma, PRISONERS-DILEMMA, QUANTUM COMPUTER, PROBABILITY, EXPLANATION, UNCERTAINTY, VIOLATIONS, BRAIN

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Citation

Please use this url to cite or link to this publication:

MLA
Martínez-Martínez, Ismael, Jacob Denolf, and Albert Barque-Duran. “Do Preferences and Beliefs in Dilemma Games Exhibit Complementarity?” Lecture Notes in Computer Science. Vol. 9535. Cham, Switzerland: Springer, 2016. 142–153. Print.
APA
Martínez-Martínez, I., Denolf, J., & Barque-Duran, A. (2016). Do preferences and beliefs in dilemma games exhibit complementarity? Lecture Notes in Computer Science (Vol. 9535, pp. 142–153). Presented at the 9th International conference on Quantum Interaction (QI 2015), Cham, Switzerland: Springer.
Chicago author-date
Martínez-Martínez, Ismael, Jacob Denolf, and Albert Barque-Duran. 2016. “Do Preferences and Beliefs in Dilemma Games Exhibit Complementarity?” In Lecture Notes in Computer Science, 9535:142–153. Cham, Switzerland: Springer.
Chicago author-date (all authors)
Martínez-Martínez, Ismael, Jacob Denolf, and Albert Barque-Duran. 2016. “Do Preferences and Beliefs in Dilemma Games Exhibit Complementarity?” In Lecture Notes in Computer Science, 9535:142–153. Cham, Switzerland: Springer.
Vancouver
1.
Martínez-Martínez I, Denolf J, Barque-Duran A. Do preferences and beliefs in dilemma games exhibit complementarity? Lecture Notes in Computer Science. Cham, Switzerland: Springer; 2016. p. 142–53.
IEEE
[1]
I. Martínez-Martínez, J. Denolf, and A. Barque-Duran, “Do preferences and beliefs in dilemma games exhibit complementarity?,” in Lecture Notes in Computer Science, Filzbach, Switzerland, 2016, vol. 9535, pp. 142–153.
@inproceedings{8088025,
  abstract     = {Blanco et. al. (2014) show in a novel experiment the presence of intrinsic interactions between the preferences and the beliefs of participants in social dilemma games. They discuss the identification of three effects, and we claim that two of them are inherently of non-classical nature. Here, we discuss qualitatively how a model based on complementarity between preferences and beliefs in a Hilbert space can give an structural explanation to two of the three effects the authors observe, and the third one can be incorporated into the model as a classical correlation between the observations in two subspaces. Quantitative formalization of the model and proper fit to the experimental observation will be done in the near future, as we have been given recent access to the original dataset.},
  author       = {Martínez-Martínez, Ismael and Denolf, Jacob and Barque-Duran, Albert},
  booktitle    = {Lecture Notes in Computer Science},
  isbn         = {9783319286747},
  issn         = {0302-9743},
  keywords     = {quantum-like preferences and beliefs,consensus effect,social projection,complementarity,sequential Prisoner's Dilemma,PRISONERS-DILEMMA,QUANTUM COMPUTER,PROBABILITY,EXPLANATION,UNCERTAINTY,VIOLATIONS,BRAIN},
  language     = {eng},
  location     = {Filzbach, Switzerland},
  pages        = {142--153},
  publisher    = {Springer},
  title        = {Do preferences and beliefs in dilemma games exhibit complementarity?},
  url          = {http://dx.doi.org/10.1007/978-3-319-28675-4_11},
  volume       = {9535},
  year         = {2016},
}

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