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Symmetric quantum games for 2-player, 2-qubit strategies are analyzed in detail by using a scheme in which all pure states in the 2-qubit Hilbert space are utilized for strategies. We consider two different types of symmetric games…

量子物理 · 物理学 2009-05-18 Tsubasa Ichikawa , Izumi Tsutsui

The noncooperative Nash equilibrium solution of classical games corresponds to a rational expectations attitude on the part of the players. However, in many cases, games played by human players have outcomes very different from Nash…

量子物理 · 物理学 2007-05-23 R. Vilela Mendes

Using the representation introduced in \cite{frame}, an artificial game in quantum strategy space is proposed and studied. Although it has well-known classical correspondence, which has classical mixture strategy Nash Equilibrium states,…

量子物理 · 物理学 2007-05-23 Jinshan Wu

Quantum entanglement has been recently demonstrated as a useful resource in conflicting interest games of incomplete information between two players, Alice and Bob [Pappa et al., Phys. Rev. Lett. 114, 020401 (2015)]. General setting for…

量子物理 · 物理学 2017-11-17 Ashutosh Rai , Goutam Paul

We use the formalism of Clifford Geometric Algebra (GA) to develop an analysis of quantum versions of three-player non-cooperative games. The quantum games we explore are played in an Einstein-Podolsky-Rosen (EPR) type setting. In this…

量子物理 · 物理学 2012-02-13 James M. Chappell , Azhar Iqbal , Derek Abbott

We analyse the role of degree of entanglement for Vaidman's game in a setting where the players share a set of partially entangled three-qubit states. Our results show that the entangled states combined with quantum strategies may not be…

量子物理 · 物理学 2018-07-17 Hargeet Kaur , Atul Kumar

We study two forms of a symmetric cooperative game played by three players, one classical and other quantum. In its classical form making a coalition gives advantage to players and they are motivated to do so. However in its quantum form…

量子物理 · 物理学 2009-11-07 A. Iqbal , A. H. Toor

One of the basics tasks in computer systems is the control of access of resources. Basically, there is a finite amount of resources that can be, for example, the CPU, memory or I/O ports, and several processes requiring those resources. If…

量子物理 · 物理学 2008-02-26 Paulo Benicio , Melo de Sousa , Rubens Viana Ramos

We study a quantum game played by two players with restricted multiple strategies. It is found that in this restricted quantum game Nash equilibrium does not always exist when the initial state is entangled. At the same time, we find that…

量子物理 · 物理学 2018-01-17 Bo Chen , Ying-Jun Ma , Gui Lu Long

Game theory is central to the understanding of competitive interactions arising in many fields, from the social and physical sciences to economics. Recently, as the definition of information is generalized to include entangled quantum…

The physical world obeys the rules of quantum, as opposed to classical, physics. Since the playing of any particular game requires physical resources, the question arises as to how Game Theory itself would change if it were extended into…

量子物理 · 物理学 2007-05-23 Chiu Fan Lee , Neil F. Johnson

We describe a quantum model of simple choice game (constructed upon entangled state of two qubits), which involves the fundamental problem of transitive - intransitive preferences. We compare attainability of optimal intransitive strategies…

量子物理 · 物理学 2015-05-27 Marcin Makowski , Edward W. Piotrowski

A quantum logic gate of particular interest to both electrical engineers and game theorists is the quantum multiplexer. This shared interest is due to the facts that an arbitrary quantum logic gate may be expressed, up to arbitrary…

量子物理 · 物理学 2009-06-04 Faisal Shah Khan

We investigate a multi-player and multi-choice quantum game. We start from two-player and two-choice game and the result is better than its classical version. Then we extend it to N-player and N-choice cases. In the quantum domain, we…

量子物理 · 物理学 2009-11-06 Jiangfeng Du , Hui Li , Xiaodong Xu , Xianyi Zhou , Rongdian Han

Quantum guessing games form a versatile framework for studying different tasks of information processing. A quantum guessing game with posterior information uses quantum systems to encode messages and classical communication to give partial…

量子物理 · 物理学 2022-06-22 Claudio Carmeli , Teiko Heinosaari , Alessandro Toigo

The strategic Go game, known for the tedious mathematical complexities, has been used as a theme in many fiction, movies, and books. Here, we introduce the Go game and provide a new version of quantum Go in which the boxes are initially in…

Recent spectrum-sharing research has produced a strategy to address spectrum scarcity problems. This novel idea, named cognitive radio, considers that secondary users can opportunistically exploit spectrum holes left temporarily unused by…

量子物理 · 物理学 2016-11-23 O. G. Zabaleta , J. P. Barrangú , C. M. Arizmendi

We introduce the notion of exchangeable equilibria of a symmetric bimatrix game, defined as those correlated equilibria in which players' strategy choices are conditionally independently and identically distributed given some hidden…

计算机科学与博弈论 · 计算机科学 2014-01-21 Noah D. Stein , Asuman Ozdaglar , Pablo A. Parrilo

We employ the broken-link model to create a barrier with slits in a two-dimensional lattice. The diffraction and interference patterns of the probability distribution of quantum walkers passing through the slits are analyzed. Simulations…

量子物理 · 物理学 2007-06-22 Amanda C. Oliveira , Renato Portugal , Raul Donangelo

We propose a scheme for a quantum game based on performing an EPR type experiment and in which each player's spatial directional choices are considered as their strategies. A classical mixed-strategy game is recovered by restricting the…

量子物理 · 物理学 2022-06-16 Azhar Iqbal , Derek Abbott