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Laboratory games and quantum behaviour : the normal form with a separable state space
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Hammond, Peter J. (2011) Laboratory games and quantum behaviour : the normal form with a separable state space. Working Paper. Coventry: University of Warwick. Dept. of Economics. Warwick economics research paper series (TWERPS), Vol.2011 (No.969).

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Abstract
The subjective expected utility (SEU) criterion is formulated for a particular fourperson “laboratory game” that a Bayesian rational decision maker plays with Nature, Chance, and an Experimenter who influences what quantum behaviour is observable by choosing an orthonormal basis in a separable complex Hilbert space of latent variables. Nature chooses a state in this basis, along with an observed data series governing Chance's random choice of consequence. When Gleason's theorem holds, imposing quantum equivalence implies that the expected likelihood of any data series w.r.t. prior beliefs equals the trace of the product of appropriate subjective density and likelihood operators.
Item Type:  Working or Discussion Paper (Working Paper) 

Subjects:  Q Science > QA Mathematics 
Divisions:  Faculty of Social Sciences > Economics 
Library of Congress Subject Headings (LCSH):  Bayesian statistical decision theory, Game theory 
Series Name:  Warwick economics research paper series (TWERPS) 
Publisher:  University of Warwick. Dept. of Economics 
Place of Publication:  Coventry 
Official Date:  2011 
Volume:  Vol.2011 
Number:  No.969 
Status:  Not Peer Reviewed 
Publication Status:  Published 
Access rights to Published version:  Open Access 
Funder:  European Commission (EC) 
Grant number:  MEXCCT2006041121 (EC) 
References:  Anscombe, F.J. and R.J. Aumann (1963) “A Definition of Subjective Probability,” Annals of Mathematical 
URI:  http://wrap.warwick.ac.uk/id/eprint/41114 
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