演講者簡介 : Professor Adam Brandenburger received his PhD from the University of Cambridge in 1986. He is currently a Professor at New York University. His research interests are game theory, information theory, and business strategy.
演講摘要 : The Agreement Theorem (Aumann, 1976) states that if two Bayesian agents start with a common prior, then they cannot have common knowledge that they hold different posterior probabilities of some underlying event of interest. In short, the two agents cannot "agree to disagree" This result applies in the classical domain where classical probability theory applies. But in non-classical domains (such as the quantum world), classical probability theory does not apply, and so we cannot assume that the same result holds when agents observe non-classical phenomena. Inspired principally by their use in quantum mechanics, we employ signed probability measures ("quasi-probabilities") to investigate the epistemics of the non-classical world and ask, in particular: Is disagreement possible when agents use signed probabilities?
