The Force exerted by the Stellar System in the Direction perpendicular to the Galactic Plane and some related Problems

During this century, two great physical theories have emerged. Each theory remains unchallenged within its respective domain.

Introduction to superstrings

The application of the methods of quantum mechanics to game theory provides us with the ability to achieve results not otherwise possible. Both linear superpositions of actions and entanglement between the players' moves can be exploited. We provide an introduction to quantum game theory and review the current status of the subject.

An introduction to quantum game theory

This paper presents an overview and survey of a new type of game-theoretic setting based on ideas emanating from quantum computing. (We provide a brief overview of quantum computing at the beginning of the paper.) Initial results suggest this view brings more flexibility and possibilities into decisions involving game-theoretic considerations. Applications cover a broad spectrum of classical games as well as games in economics, finance and other areas.

A survey of quantum games

By V. Fock, translated by N. Kemmer London: Pergamon Press. Pp. xviii + 411. Price 100s. That Professor Fock's considered views on a subject to which he has himself contributed so much are now available in English is of great importance to all who are interested in the foundations of physics. This book has been put into excellent English by Professor Kemmer, who contributes a highly appreciative preface.

The Theory of Space, Time and Gravitation

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.

Interference of quantum market strategies

The classical statistics indication for the impossibility to derive quantum mechanics from classical mechanics is proved. The formalism of the statistical Fisher information is used. Next the Fisher information as a tool of the construction of a self-consistent field theory, which joins the quantum theory and classical field theory, is proposed.

Fisher information and quantum–classical field theory: classical statistics similarity

Two of the present authors have put forward a projective geometry based model of rational trading that implies a model for subjective demand/supply profiles if one considers closing of a position as a random process. We would like to present the analysis of a subjectivity in such trading models. In our model, the trader gets the maximal profit intensity when the probability of transaction is ∼ 0.5853 . We also present a comparison with the model based on the Maximum of Entropy Principle. To the best of our knowledge, this is one of the first analyses that show a concrete situation in which trader profit optimal value is in the class of price-negotiating algorithms (strategies) resulting in non-monotonic demand (supply) curves of the Rest of the World (a collective opponent). Our model suggests that there might be a new class of rational trader strategies that (almost) neglects the supply–demand profile of the market. This class emerges when one tries to minimize the information that strategies reveal.

Subjective modelling of supply and demand—the minimum of Fisher information solution

Information channel capacity in the field theory estimation

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.

Jacek Syska

Papers

Interference of quantum market strategies

Fisher information and quantum–classical field theory: classical statistics similarity

Subjective modelling of supply and demand—the minimum of Fisher information solution

Information channel capacity in the field theory estimation

Likelihood method and Fisher information in construction of physical models