arXiv subjects

J. Sladkowski

Publications and source records attributed to J. Sladkowski.

At least 19 recordsLinked to original sources

arXiv2008

Likelihood method and Fisher information in construction of physical models

The subjects of the paper are the likelihood method (LM) and the expected Fisher information (FI) considered from the point od view of the construction of the physical models which originate in the statistical description of phenomena. The master equation case and structural information principle are derived. Then, the phenomenological description of the information transfer is presented. The extreme physical information (EPI) method is reviewed. As if marginal, the statistical interpretation of the amplitude of the system is given. The formalism developed in this paper would be also applied in quantum information processing and quantum game theory.

physics.data-an↗

arXiv2008

Noise Effects in Quantum Magic Squares Game

In the article we analyse how noisiness of quantum channels can influence the magic squares quantum pseudo-telepathy game. We show that the probability of success can be used to determine characteristics of quantum channels. Therefore the game deserves more careful study aiming at its implementation.

quant-ph↗

arXiv2007

Quantum Auctions: Facts and Myths

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 the concept of a quantum auction, its advantages and drawbacks. Then we describe the models that have already been put forward. A general model involves Wigner formalism and infinite dimensional Hilbert spaces - we envisage that the implementation might not be an easy task. But a restricted model advocated by the Hewlett-Packard group seems to be much easier to implement. Simulations involving humans have already been performed. We will focus on problems related to combinatorial auctions and technical assumptions that are made. Quantum approach offers at least two important developments. Powerful quantum algorithms for finding solutions would extend the range of possible applications. Quantum strategies, being qubits, can be teleported but are immune from cloning - therefore extreme privacy of agent's activity could in principle be guaranteed. Then we point out some key problem that have to be solved before commercial use would be possible. With present technology, optical networks, single photon sources and detectors seems to be sufficient for experimental realization in the near future. We conclude by describing potential customers, estimating the potential market size and possible timing.

q-fin.GN↗

arXiv2004

Quantum Game Theory in Finance

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 discussed. The review is addressed to non--specialists.

quant-ph↗

arXiv2003

Quantum diffusion of prices and profits

We discuss the time evolution of quotations of stocks and commodities and show that corrections to the orthodox Bachelier model inspired by quantum mechanical time evolution of particles may be important. Our analysis shows that traders tactics can interfere as waves do and trader's strategies can be reproduced from the corresponding Wigner functions. The proposed interpretation of the chaotic movement of market prices imply that the Bachelier behaviour follows from short-time interference of tactics adopted (paths followed) by the rest of the world considered as a single trader and the Ornstein-Uhlenbeck corrections to the Bachelier model should qualitatively matter only for large time scales. The famous smithonian invisible hand is interpreted as a short-time tactics of whole the market considered as a single opponent. We also propose a solution to the currency preference paradox.

cond-mat↗

arXiv2003

The next stage: quantum game theory

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 development in quantum game theory. 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.

quant-ph↗

arXiv2003

Arbitrage risk induced by transaction costs

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 analysis of the portfolio theory is computationally complex but the latest development in quantum computation theory suggests that such a task can be performed on quantum computers.

cond-mat↗

arXiv2002

An invitation to Quantum Game Theory

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 development in quantum game theory. In this context, a new application of the Ising chain model is proposed.

quant-ph↗

arXiv2002

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 game theory. Description of Giffen paradoxes in this new formalism is discussed.

cond-mat↗

arXiv2002

Interference of Quantum Market Strategies

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 strategies in quantum market games.

quant-ph↗

arXiv2002

Quantum solution to the Newcomb's paradox

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 theory offers a way to discern human intentions in such way that the human retain her/his free will but cannot profit from changing decision. Possible interpretation in terms of quantum market games is proposed.

quant-ph↗

arXiv2002

Trading by Quantum Rules - Quantum Anthropic Principle

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 Anthropic Principle is put forward. The review is addressed to non-specialists.

quant-ph↗

arXiv2001

Quantum English Auctions

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 to quantum English auction which are a special class of quantum market games. The approach allows to calculate profit intensities for various possible strategies.

quant-ph↗

arXiv2001

Quantum Bargaining Games

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 to quantum bargaining games which are a special class of quantum market games without institutionalized clearinghouses.

quant-ph↗

arXiv2001

What was the temperature of the Bagsik financial oscillator?

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 financial phenomenon. We have found an example that results in profitability about 45 000 times bigger than that of the Przystawa and Wolf model.

cond-mat↗

arXiv2001

Quantum Market Games

We propose a quantum-like description of markets and economics. The approach has roots in the recently developed quantum game theory.

quant-ph↗

arXiv2001

The Merchandising Mathematician Model

A simple model of a buying-selling cycle is proposed. The model comprises two moves: a rational buying and a random selling. The notion of a profit intensity is introduced. Supply and demand curves and geometrical interpretation are discussed in this context.

cond-mat↗

arXiv2000

The thermodynamics of portfolios

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 thermodynamics.

cond-mat.stat-mech↗