Laboratory games and quantum behaviour : the normal form with a separable state space
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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The subjective expected utility (SEU) criterion is formulated for a particular four-person “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|
|Status:||Not Peer Reviewed|
|Access rights to Published version:||Open Access|
|Funder:||European Commission (EC)|
|Grant number:||MEXC-CT-2006-041121 (EC)|
Anscombe, F.J. and R.J. Aumann (1963) “A Definition of Subjective Probability,” Annals of Mathematical
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