arXiv:quant-ph/0406129

Quantum Game Theory in Finance

Edward W. Piotrowski, Jan Sładkowski

Published Jun 18, 2004• 11 citations

Abstract

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.

DOI: 10.48550/arxiv.quant-ph/0406129

Related papers

Quantum Game Theoretical Frameworks in Economics

Edward W. Piotrowski, Jan Sładkowski

The authors briefly review quantum game theory and its application in economics. This review is addressed at newcomers and some basic ideas of quantum theory are necessary to follow the text—the short introduction in chapter “A Brief Introduction to Quantum Formalism” will be sufficient. Due to the lack of space only the flagship issues will be discussed. 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. We are aware that the implementation of genuine quantum models is not an easy task. Nevertheless, such models are already an interesting although sophisticated theoretical tool. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Palgrave Macmillan UK eBooksJan 1, 201710 citations

The next stage: quantum game theory

Edward W. Piotrowski, Jan Sładkowski

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.

arXiv:quant-ph/0308027Aug 5, 200333 citations

REVIEW ON QUANTUM ECONOMICS AND ITS FUTURE

Manowar Hussain

Quantum economics postulates ideas about quantum money, quantum finance, and quantum social science and shows that the economy is an archetypal example of a quantum social system, complete with its versions of measurement, i.e., uncertainty, entanglement, superposition, and so on.A sizeable literature on quantum economics has grown in recent periods.This paper reviews some theoretical developments and empirical studies on Quantum economics to provide a comprehensive analysis of the potential implications of Quantum Physics and its philosophical ideas in the domains of economics, finance, and social science.Moreover, this studies also focused Why the field of Quantum Economics arises" how Quantum economics links physics, economics, and social science.All reviews and research papers examine the use of learning strategies in Quantum Economics.The overall results shows the following Possible applications of quantum Physics' in Economics: (i) enhanced computational capabilities for big data and complex problems, (ii) secure quantum-based currency, (iii) innovative tools for policymaking, and (iv) advanced behavioral and decisionmaking analysis under uncertainty.This paper provides an overview of the Quantum economics literature, background history, conceptual insights, economic policy, and conceptual and methodological critique.Finally, we present an agenda for future research in the field.

Oct 25, 20250 citations

Quantum Games

David Orrell

This excerpt from Chapter 8 of David Orrell�s book, Quantum Economics and Finance, looks at some simple examples of quantum games and explores the connections between quantum cognition and quantum game theory.

WilmottFeb 20, 20250 citations

An Investigation of Quantum Computational Game Theory

Scott Ricketts, Max Mintz

Game theory is a well established field with applications in many areas including the social sciences, biology, and computer science [6]. Recently, however, researchers in quantum computation have begun to study the implications of games set in the quantum domain (i.e. game theoretical situations where either one or more players have quantum computational power or where the implementation of strategies uses some form of quantum information). Such a setting allows for entanglement and superpositions of strategies and evaluation of payoffs using quantum measurement. This approach to game theory, according to some scholars in the field, could help us understand certain physical systems, improve economic markets, and develop quantum algorithms. I have conducted an investigation into quantum game theory. I have constructed simulation tools using Maple that, along with research into related work, have helped gain some insight into this new field. The important solutions in classical game theory are usually Nash equilibria. What do they look like in the quantum realm? In what

Jan 1, 20060 citations

Quantum Bargaining Games

Piotrowski, Edward W., Sładkowski, Jan

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.

Jun 25, 200136 citations