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

Quantum Physics · Physics 2015-06-26 E. W. Piotrowski , J. 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 to quantum bargaining games which are a…

Quantum Physics · Physics 2009-11-07 E. W. Piotrowski , J. 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 financial market in terms of quantum game…

Quantum Physics · Physics 2007-05-23 Edward W. Piotrowski , Jan Sladkowski

Quantum games, like quantum algorithms, exploit quantum entanglement to establish strong correlations between strategic player actions. This paper introduces quantum game-theoretic models applied to trading and demonstrates their…

Quantum Physics · Physics 2025-04-21 Faisal Shah Khan , Norbert M. Linke , Anton Trong Than , Dror Baron

The quest of this work is to present discussions of some fundamental questions of economics in the era of quantum technology, which require a treatment different from economics studied thus far in the literature. A study of quantum economic…

Quantum Physics · Physics 2023-12-12 Kazuki Ikeda , Shoto Aoki

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…

General Finance · Quantitative Finance 2009-11-13 E. W. Piotrowski , J. 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 description of financial market in terms…

Quantum Physics · Physics 2007-05-23 Ireneusz Pakula , Edward W. Piotrowski , Jan Sladkowski

We describe human-subject laboratory experiments on probabilistic auctions based on previously proposed auction protocols involving the simulated manipulation and communication of quantum states. These auctions are probabilistic in…

Quantum Physics · Physics 2009-03-31 Kay-Yut Chen , Tad Hogg

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.

Quantum Physics · Physics 2009-11-07 E. W. Piotrowski , J. Sladkowski , J. Syska

The game in which acts of participants don't have an adequate description in terms of Boolean logic and classical theory of probabilities is considered. The model of the game interaction is constructed on the basis of a non-distributive…

Quantum Physics · Physics 2007-05-23 Andrey Grib , Georges Parfionov

A simple but nontrivial class of the quantum strategies in buying-selling games is presented. The player moves are a rational buying and an unconditional selling. The possibility of gaining extremal profits in such the games is considered.…

Quantum Physics · Physics 2009-11-07 Edward W. Piotrowski

In these lecture notes we investigate the implications of the identification of strategies with quantum operations in game theory beyond the results presented in [J. Eisert, M. Wilkens, and M. Lewenstein, Phys. Rev. Lett. 83, 3077 (1999)].…

Quantum Physics · Physics 2015-06-26 J. Eisert , M. Wilkens

Game theory is the mathematical framework for analyzing strategic interactions in conflict and competition situations. In recent years quantum game theory has earned the attention of physicists, and has emerged as a branch of quantum…

Quantum Physics · Physics 2015-05-30 Puya Sharif , Hoshang Heydari

The relationships between game theory and quantum mechanics let us propose certain quantization relationships through which we could describe and understand not only quantum but also classical, evolutionary and the biological systems that…

Physics and Society · Physics 2016-12-12 Esteban Guevara Hidalgo

We analyze complexity of financial (and general economic) processes by comparing classical and quantum-like models for randomness. Our analysis implies that it might be that a quantum-like probabilistic description is more natural for…

Statistical Finance · Quantitative Finance 2014-03-13 Andrei Khrennikov

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.…

Quantum Physics · Physics 2007-05-23 Adrian P. Flitney , Derek Abbott

In this paper, we present a quantum version of some portions of Mathematical Finance, including theory of arbitrage, asset pricing, and optional decomposition in financial markets based on finite dimensional quantum probability spaces. As…

Quantum Physics · Physics 2007-05-23 Zeqian Chen

We formulate quantum computing solutions to a large class of dynamic nonlinear asset pricing models using algorithms, in theory exponentially more efficient than classical ones, which leverage the quantum properties of superposition and…

Pricing of Securities · Quantitative Finance 2025-08-26 Eric Ghysels , Jack Morgan

Econophysics has developed as a research field that applies the formalism of Statistical Mechanics and Quantum Mechanics to address Economics and Finance problems. The branch of Econophysics that applies of Quantum Theory to Economics and…

Computational Finance · Quantitative Finance 2015-08-27 Carlos Pedro Gonçalves

Auctions are markets with strict regulations governing the information available to traders in the market and the possible actions they can take. Since well designed auctions achieve desirable economic outcomes, they have been widely used…

Artificial Intelligence · Computer Science 2009-04-14 Jinzhong Niu , Simon Parsons
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