In this article, Savage’s theory of decision-making under uncertainty is extended from a classical environment into a non-classical one. The Boolean lattice of events is replaced by an arbitrary ortho-complemented poset. We formulate the corresponding axioms and provide representation theorems for qualitative measures and expected utility. Then, we discuss the issue of beliefs updating and investigate a transition probability model. An application to a simple game context is proposed.

Quantum cognition in decision making is a recent and rapidly growing field. In this paper, we develop an expected utility theory in a context of non-classical uncertainty. We replace the classical state space with a Hilbert space which allows introducing the concept of quantum lottery. Within that framework, we formulate axioms on preferences over quantum lotteries to establish a representation theorem. We show that demanding the consistency of choice behavior conditional on new information is equivalent to the von Neumann–Lüders postulate (...) applied to beliefs. A dynamically consistent quantum-like agent may violate dynamic recursive consistency, however. This feature suggests interesting applications in behavioral economics as we illustrate in an example of persuasion. (shrink)

Questions revolving around the possibility and justifiability of reductive analyses of the concept 'not', lie at the heart of many of the problems in the philosophical interpretation of not-descriptions. In this thesis, I wish to show, by discussing various problems in the logic of not-descriptions, that, and why, reductive analyses must be unsatisfactory. Chapter 1, p. 1.

Авторами монографии разрабатывается принципиально новый подход к осмыслению природы человеческой телесности с учетом ее свойств как сложного системного феномена и как одной из составляющих самоорганизующейся целостности "человек - мир".