Exotic Smoothness and Astrophysics (2009)
The problem of possible astrophysical consequences of the existence of exotic differential structures on manifolds is discussed. It is argued that corrections to the curvature of the form of a source...
A model of subjective supply-demand: the maximum Boltzmann/Shannon entropy solution (2008)
Piotrowski, Edward W., Sladkowski, Jan
We investigate activities that have different periods of duration. We define the profit intensity as a measure of this economic category. The profit intensity in a repeated trading has a unique...
Reinforcement learning in market games (2007)
Piotrowski, Edward W., Sladkowski, Jan, Szczypinska, Anna
Financial markets investors are involved in many games -- they must interact with other agents to achieve their goals. Among them are those directly connected with their activity on markets but one...
Geometry of Financial Markets -- Towards Information Theory Model of Markets (2006)
Piotrowski, Edward W., Sladkowski, Jan
Most of parameters used to describe states and dynamics of financial market depend on proportions of the appropriate variables rather than on their actual values. Therefore, projective geometry seems...
Universality of Measurements on Quantum Markets (2005)
Pakula, Ireneusz, Piotrowski, Edward W., Sladkowski, Jan
We reason about possible future development of quantum game theory and its impact on information processing and the emerging information society. Two of the authors have recently proposed a quantum...
Quantum Games and Programmable Quantum Systems (2005)
Piotrowski, Edward W., Sladkowski, Jan
Attention to the very physical aspects of information characterizes the current research in quantum computation, quantum cryptography and quantum communication. In most of the cases quantum...
Piotrowski, Edward W., Sladkowski, Jan
We discuss some aspects of Astumian suggestions that combination of biased games (Parrondo's paradox) can explain performance of molecular motors. Unfortunately the model is flawed by explicit...
Quantum computer: an appliance for playing market games (2003)
Piotrowski, Edward W., Sladkowski, Jan
Recent development in quantum computation and quantum information theory allows to extend the scope of game theory for the quantum world. The authors have recently proposed a quantum description of...
Strongly gravitating empty spaces (1999)
We use various results concerning isometry groups of Riemannian and pseudo-Riemannian manifolds to prove that there are spaces on which differential structure can act as a source of gravitational...
Spacetime models, fundamental interactions and noncommutative geometry (1996)
We discuss the problem of determining the spacetime structure. We show that when we are using only topological methods the spacetime can be modelled as an R- or Q-compact space although the R-compact...
Exotic smoothness and particle physics (1996)
Short introduction to exotic differential structures on manifolds is given. The possible physical context of this mathematical curiosity is discussed. The topic is very interesting although...
Particle physics from the noncommutative geometry point of view (1993)
Recent development in noncommutative geometry generalization of gauge theory is reviewed. The mathematical apparatus is reduced to minimum in order to allow the non-mathematically oriented physicists...
Trace anomaly of the conformal gauge field (1993)
The proposed by Bastianelli and van Nieuwenhuizen new method of calculations of trace anomalies is applied in the conformal gauge field case. The result is then reproduced by the heat equation...
Field-enlarging transformations and chiral theories (1993)
A field-enlarging transformation in the chiral electrodynamics is performed. This introduces an additional gauge symmetry to the model that is unitary and anomaly-free and allows for comparison of...
Does noncommutative geometry predict nonlinear Higgs mechanism? (1993)
It is argued that the noncommutative geometry construction of the standard model predicts a nonlinear symmetry breaking mechanism rather than the orthodox Higgs mechanism. Such models have...
Quantization of Games: Towards Quantum Artificial Intelligence
Katarzyna Miakisz, Edward W. Piotrowski, Jan Sladkowski
On grounds of the discussed material, we reason about possible future development of quantum game theory and its impact on information processing and the emerging information society. The idea of...
Quantum Auctions: Facts and Myths
Edward W. Piotrowski, Jan Sladkowski
Quantum game theory, whatever opinions may be held due to its abstract physical formalism, have already found various applications even outside the orthodox physics domain. In this paper we introduce...
Reinforcement Learning in Market Games
Edward W. Piotrowski, Jan Sladkowski, Anna Szczypinska
Financial markets investors are involved in many games - they must interact with other agents to achieve their goals. Among them are those directly connected with their activity on markets but one...
The Thermodynamics of Portfolios
Edward W. Piotrowski, Jan Sladkowski
We propose a new method of valuation of portfolios and their respective investing strategies. To this end we define a canonical ensemble of portfolios that allows to use the formalism of...
Edward W. Piotrowski, Jan Sladkowski
We propose a quantum-like description of markets and economics. The approach has roots in the recently developed quantum game theory. Quantum Zeno paradoxes and noncomutative quantum mecanics are...
What Was the Temperature of the Bagsik Financial Oscillator?
Edward W. Piotrowski, Jan Sladkowski
We argue that the recently published by Przystawa and Wolf model of the Bagsik financial oscillator is oversimplified and unrealistic. We propose and analyze a refined explanation of this rare...
Edward W. Piotrowski, Jan Sladkowski
We continue the analysis of quantum-like description of markets and economics. The approach has roots in the recently developed quantum game theory and quantum computing. The present paper is devoted...
Edward W. Piotrowski, Jan Sladkowski
We continue the analysis of quantum-like description of markets and economics. The approach has roots in the recently developed quantum game theory and quantum computing. The present paper is devoted...
Quantum-Like Approach to Financial Risk: Quantum Anthropic Principle
Edward W. Piotrowski, Jan Sladkowski
We continue the analysis of quantum-like description of market phenomena and economics. We show that it is possible to define a risk inclination operator acting in some Hilbert space that has a lot...
Trading by Quantum Rules - Quantum Anthropic Principle
Edward W. Piotrowski, Jan Sladkowski
This is a short review of the background and recent development in quantum game theory and its possible application in economics and finance. The intersection of science and society is discussed and...
Quantum solution to the Newcomb's paradox
Edward W. Piotrowski, Jan Sladkowski
We show that quantum game theory offers solution to the famous Newcomb's paradox (free will problem). Divine foreknowledge is not necessary for successful completion of the game because quantum...
Interference of quantum market strategies
Edward W. Piotrowski, Jan Sladkowski, Jacek Syska
Recent development in quantum computation and quantum information theory allows to extend the scope of game theory for the quantum world. The paper is devoted to the analysis of interference of...
Quantum diffusion of prices and profits
Edward W. Piotrowski, Jan Sladkowski
We discuss the time evolution of quotation of stocks and commodities and show that quantum-like correction to the orthodox Bachelier model may be important. Our analysis shows that traders act as a...
Giffen paradoxes in quantum market games
Recent development in quantum computation and quantum information theory allows to extend the scope of game theory for the quantum world. The paper presents the history and basic ideas of quantum...
An Invitation to Quantum Game Theory
Edward W. Piotrowski, Jan Sladkowski
Recent development in quantum computation and quantum information theory allows to extend the scope of game theory for the quantum world. The paper presents the history, basic ideas and recent...
Quantum Computer: An Appliance for Playing Market Games
Edward W. Piotrowski, Jan Sladkowski
Recent development in quantum computation and quantum information theory allows to extend the scope of game theory for the quantum world. The authors have recently proposed a quantum description of...
Arbitrage Risk Induced by Transaction Costs
Edward W. Piotrowski, Jan Sladkowski
We discuss the time evolution of quotation of stocks and commodities and show that they form an Ising chain. We show that transaction costs induce arbitrage risk that usually is neglected. The full...
The Next Stage: Quantum Game Theory
Edward W. Piotrowski, Jan Sladkowski
Recent development in quantum computation and quantum information theory allows to extend the scope of game theory for the quantum world. The paper presents the history, basic ideas and recent...
Quantum Game Theory in Finance
Edward W. Piotrowski, Jan Sladkowski
This is a short review of the background and recent development in quantum game theory and its possible application in economics and finance. The intersection of science and society is also...
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 cases quantum...
Universality of Measurements on Quantum Markets
Ireneusz Pakula, Edward W. Piotrowski, Jan Sladkowski
We reason about possible future development of quantum game theory and its impact on information processing and the emerging information society. Two of the authors have recently proposed a quantum...
Geometry of Financial Markets - Towards Information Theory Model of Markets
Edward W. Piotrowski, Jan Sladkowski
Most of parameters used to describe states and dynamics of financial market depend on proportions of the appropriate variables rather than on their actual values. Therefore, projective geometry seems...
Geometry of Financial Markets -- Towards Information Theory Model of Markets
Edward W. Piotrowski, Jan Sladkowski
Most of parameters used to describe states and dynamics of financial market depend on proportions of the appropriate variables rather than on their actual values. Therefore, projective geometry seems...
A model of subjective supply-demand: the maximum Boltzmann/Shannon entropy solution
Edward W. Piotrowski, Jan Sladkowski
We investigate activities that have different periods of duration. We define the profit intensity as a measure of this economic category. The profit intensity in a repeated trading has a unique...
Reinforcement learning in market games
Edward W. Piotrowski, Jan Sladkowski, Anna Szczypinska
Financial markets investors are involved in many games -- they must interact with other agents to achieve their goals. Among them are those directly connected with their activity on markets but one...
Marek Lukaszewski, Jan Sladkowski
A short description of financial markets and their role in modern society is given. The stress is put on the specifics of the system in Poland, eg. the arrangements of the Warsaw Stock Exchange are...
Financial Instruments (in Polish)
Marek Lukaszewski, Jan Sladkowski
A short description of the most common financial instruments and their role is given. The stress is put on the ideas of the creation of the instrument and details are postponed to more advanced...