52 citations · 453 across the 41 of their papers we have counts for
18 papers · 1 filter
Do transitive preferences always result in indifferent divisions?
Marcin Makowski, Edward W. Piotrowski, Jan Sładkowski
The transitivity of preferences is one of the basic assumptions used in the theory of games and decisions. It is often equated with rationality of choice and is considered useful i…
Transitivity of an entangled choice
Marcin Makowski, Edward W. Piotrowski
We describe a quantum model of simple choice game (constructed upon entangled state of two qubits), which involves the fundamental problem of transitive - intransitive preferences.…
Decisions in elections --- transitive or intransitive quantum preferences
Marcin Makowski, Edward W. Piotrowski
Our preferences depend on the circumstances in which we reveal them. We will introduce a dependency which allows us to illustrate the relation between the possibility of winning of…
Quantum extension of European option pricing based on the Ornstein-Uhlenbeck process
Edward W. Piotrowski, Malgorzata Schroeder, Anna Zambrzycka
In this work we propose a option pricing model based on the Ornstein-Uhlenbeck process. It is a new look at the Black-Scholes formula which is based on the quantum game theory. We…
Quantum Cat's Dilemma
Marcin Makowski, Edward W. Piotrowski
We study a quantum version of the sequential game illustrating problems connected with making rational decisions. We compare the results that the two models (quantum and classical)…
Quantum Games and Programmable Quantum Systems
Edward W. Piotrowski, Jan Sladkowski
Attention to the very physical aspects of information characterizes the current research in quantum computation, quantum cryptography and quantum communication. In most of the case…