Quantum Rational Preferences and Desirability

Alessio Benavoli, Alessandro Facchini, Marco Zaffalon
Proceedings of the NIPS 2016 Workshop on Imperfect Decision Makers, PMLR 58:87-96, 2017.

Abstract

We develop a theory of quantum rational decision making in the tradition of Anscombe and Aumann’s axiomatisation of preferences on horse lotteries. It is essentially the Bayesian decision theory generalised to the space of Hermitian matrices. Among other things, this leads us to give a representation theorem showing that quantum complete rational preferences are obtained by means of expected utility considerations.

Cite this Paper

BibTeX
@InProceedings{pmlr-v58-benavoli17a, title = {Quantum Rational Preferences and Desirability}, author = {Benavoli, Alessio and Facchini, Alessandro and Zaffalon, Marco}, booktitle = {Proceedings of the NIPS 2016 Workshop on Imperfect Decision Makers}, pages = {87--96}, year = {2017}, editor = {Guy, Tatiana V. and Kárný, Miroslav and Rios-Insua, David and Wolpert, David H.}, volume = {58}, series = {Proceedings of Machine Learning Research}, month = {09 Dec}, publisher = {PMLR}, pdf = {http://proceedings.mlr.press/v58/benavoli17a/benavoli17a.pdf}, url = {https://proceedings.mlr.press/v58/benavoli17a.html}, abstract = {We develop a theory of quantum rational decision making in the tradition of Anscombe and Aumann’s axiomatisation of preferences on horse lotteries. It is essentially the Bayesian decision theory generalised to the space of Hermitian matrices. Among other things, this leads us to give a representation theorem showing that quantum complete rational preferences are obtained by means of expected utility considerations.} }
Endnote
%0 Conference Paper %T Quantum Rational Preferences and Desirability %A Alessio Benavoli %A Alessandro Facchini %A Marco Zaffalon %B Proceedings of the NIPS 2016 Workshop on Imperfect Decision Makers %C Proceedings of Machine Learning Research %D 2017 %E Tatiana V. Guy %E Miroslav Kárný %E David Rios-Insua %E David H. Wolpert %F pmlr-v58-benavoli17a %I PMLR %P 87--96 %U https://proceedings.mlr.press/v58/benavoli17a.html %V 58 %X We develop a theory of quantum rational decision making in the tradition of Anscombe and Aumann’s axiomatisation of preferences on horse lotteries. It is essentially the Bayesian decision theory generalised to the space of Hermitian matrices. Among other things, this leads us to give a representation theorem showing that quantum complete rational preferences are obtained by means of expected utility considerations.
APA
Benavoli, A., Facchini, A. & Zaffalon, M.. (2017). Quantum Rational Preferences and Desirability. Proceedings of the NIPS 2016 Workshop on Imperfect Decision Makers, in Proceedings of Machine Learning Research 58:87-96 Available from https://proceedings.mlr.press/v58/benavoli17a.html.

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