English
Related papers

Related papers: Constructing multi-player quantum games from non-f…

200 papers

We study the three-player Prisoner's Dilemma game under the effect of decoherence and correlated noise. It is seen that the quantum player is always better off over the classical players. It is also seen that the game's Nash equilibrium…

Quantum Physics · Physics 2009-02-16 M. Ramzan , M. K. Khan

We study the emergency of mutual cooperation in evolutionary prisoner's dilemma games when the players are located on a square lattice. The players can choose one of the three strategies: cooperation (C), defection (D) or "tit for tat" (T),…

Statistical Mechanics · Physics 2015-06-24 Gyorgy Szabo , Tibor Antal , Peter Szabo , Michel Droz

Here we study multiplayer linear games, a natural generalization of XOR games to multiple outcomes. We generalize a recently proposed efficiently computable bound, in terms of the norm of a game matrix, on the quantum value of 2-player…

Quantum Physics · Physics 2016-02-10 Gláucia Murta , Ravishankar Ramanathan , Natália Móller , Marcelo Terra Cunha

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…

Quantum Physics · Physics 2007-05-23 Chiu Fan Lee , Neil F. Johnson

Nonlocal games yield an unusual perspective on entangled quantum states. The defining property of such games is that a set of players in joint possession of an entangled state can win the game with higher probability than is allowed by…

Quantum Physics · Physics 2023-01-18 Vir B. Bulchandani , Fiona J. Burnell , S. L. Sondhi

We study the extension of classical games to the quantum domain, generated by the addition of one unitary strategy to two classical strategies of each player. The conditions that need to be met by unitary operations to ensure that the…

Quantum Physics · Physics 2024-04-10 Piotr Frąckiewicz , Marek Szopa

We generalize the quantum Prisoner's Dilemma to the case where the players share a non maximally entangled states. We show that the game exhibits an intriguing structure as a function of the amount of entanglement with two thresholds which…

Quantum Physics · Physics 2009-11-07 Jiangfeng Du , Hui Li , Xiaodong Xu , Mingjun Shi , Jihui Wu , Xianyi Zhou , Rongdian Han

We show that given an explicit description of a multiplayer game, with a classical verifier and a constant number of players, it is QMA-hard, under randomized reductions, to distinguish between the cases when the players have a strategy…

Quantum Physics · Physics 2019-02-12 Anand Natarajan , Thomas Vidick

The quantum mechanical approach to the well known prisoners dilemma, one of the basic examples to illustrate the concepts of Game Theory, is implemented with a classical optical resource, nonquantum entanglement between spin and orbital…

Repeated quantum game theory addresses long term relations among players who choose quantum strategies. In the conventional quantum game theory, single round quantum games or at most finitely repeated games have been widely studied, however…

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

We study the possible advantages of adopting of quantum strategies in multi-player evolutionary games. We base our study on the three-player Prisoner's Dilemma (PD) game. In order to model the simultaneous interaction between three agents…

Quantum Physics · Physics 2020-11-10 Ł. Pawela , J. Sładkowski

We use the example of playing a 2-player game with entangled quantum objects to investigate the effect of quantum correlation. We find that for simple game scenarios it is classical correlation that is the central feature and that these…

Quantum Physics · Physics 2013-05-21 Simon J. D. Phoenix , Faisal Shah Khan

In its normal form prisoners' dilemma (PD) is represented by a payoff matrix showing players strategies and payoffs. To obtain distinguishing trait and strategic form of PD certain constraints are imposed on the elements of its payoff…

Quantum Physics · Physics 2013-07-25 Ahmad Nawaz

We revisit games in partition function form, i.e. cooperative games where the payoff of a coalition depends on the partition of the entire set of players. We assume that each coalition computes its worth having probabilistic beliefs over…

Computer Science and Game Theory · Computer Science 2026-05-05 Paraskevas V. Lekeas , Giorgos Stamatopoulos

Games involving quantum strategies often yield higher payoff. Here, we study a practical realization of the three-player dilemma game using the superconductivity-based quantum processors provided by IBM Q Experience. We analyze the…

Quantum Physics · Physics 2022-06-07 Pranav Kairon , Kishore Thapliyal , R. Srikanth , Anirban Pathak

A setup is proposed to play a quantum version of the famous bimatrix game of Prisoners' Dilemma. Multi-slit electron diffraction with each player's pure strategy consisting of opening one of the two slits at his/her disposal are essential…

Quantum Physics · Physics 2009-11-07 A. Iqbal

This article uses data from two experimental studies of two-person Prisoner's Dilemma games [1, 2] and compares the data with the theoretic predictions calculated with the use of a quantum game theoretical method. The experimental findings…

Quantum Physics · Physics 2007-07-23 Matthias Hanauske , Steffen Bernius , Wolfgang Köenig , Berndt Dugall

We study the influence of Unruh effect on quantum non-zero sum games. In particular, we investigate the quantum Prisoners' Dilemma both for entangled and unentangled initial states and show that the acceleration of the noninertial frames…

Quantum Physics · Physics 2012-02-13 Salman Khan , M. K. Khan

We present a perspective on quantum games that focuses on the physical aspects of the quantities that are used to implement a game. If a game is to be played, it has to be played with objects and actions that have some physical existence.…

Quantum Physics · Physics 2012-02-23 Simon J. D. Phoenix , Faisal Shah Khan

In this work we have introduced two party games with respective winning conditions. One cannot win these games deterministically in the classical world if they are not allowed to communicate at any stage of the game. Interestingly we find…

Quantum Physics · Physics 2008-11-19 Indranil Chakrabarty , B. S. Choudhury