52 citations · 114 across the 22 of their papers we have counts for
3 papers · 1 filter
Quantum rational preferences and desirability
Alessio Benavoli, Alessandro Facchini, Marco Zaffalon
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 d…
A Gleason-type theorem for any dimension based on a gambling formulation of Quantum Mechanics
Alessio Benavoli, Alessandro Facchini, Marco Zaffalon
Based on a gambling formulation of quantum mechanics, we derive a Gleason-type theorem that holds for any dimension n of a quantum system, and in particular for n = 2. The theorem…
Quantum mechanics: The Bayesian theory generalised to the space of Hermitian matrices
Alessio Benavoli, Alessandro Facchini, Marco Zaffalon
We consider the problem of gambling on a quantum experiment and enforce rational behaviour by a few rules. These rules yield, in the classical case, the Bayesian theory of probabil…