A First Look at Quantum Conditional Events for Economics

Abstract

In view of current interests in borrowing quantum probability notion in quantum mechanics to model uncertainty in economic activities and models, consistent with behavioral economics, we address in this paper an important, but missing, ingredient in quantum probability logic for reasoning and inference, namely quantum implication operator as a bona fide mathematical entity, consistent with quantum conditional probability, together with associated logical connectives. While our focus is on economics, our approach can be used to develop a similar quantum implication for quantum computing which is based on physics.