Classical Versus Quantum Rationality

Abstract

The Savage Sure thing principle is the starting point of the discussion on CP versus QP-based notions of rationality. The problem of rationality is coupled with the disjunction and question order effects. The attempt to combine the latter with another psychological effect, response replicability effect, make to question the possibility to use the standard quantum measurement theory with Hermitian operators’ representation and the state update with the projection postulate. We underline once again that finding the proper mathematical description of the state update is one of the essential problems of quantum-like modeling. The social laser theory contains a comprehensive description of the classical rationality violation by humans overloaded by information. Finally, we remark on the state-dependent incompatibility which, in contrast to physics, is very significant in modeling of decision-making.