Betting on the Outcomes of Measurements: A Bayesian Theory of Quantum Probability

Itamar Pitowsky

We develop a systematic approach to quantum probability as a theory of rational betting in quantum gambles. In these games of chance the agent is betting in advance on the outcomes of several (finitely many) incompatible measurements. One of the measurements is subsequently chosen and performed and the money placed on the others is returned to the agent. If the rules of rationality are followed one obtains the peculiarities of quantum probability, the uncertainty relations and the EPR paradox among others. The consequences of this approach for hidden variables and quantum logic are analyzed.

November, 2002
Published in: 
Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 34 (2003), 395-414