146 research outputs found
Relativistic Quantum Games in Noninertial Frames
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 disturbs the symmetry of the game. It is shown that for
maximally entangled initial state, the classical strategy C (cooperation)
becomes the dominant strategy. Our investigation shows that any quantum
strategy does no better for any player against the classical strategies. The
miracle move of Eisert et al (1999 Phys. Rev. Lett. 83 3077) is no more a
superior move. We show that the dilemma like situation is resolved in favor of
one player or the other.Comment: 8 Pages, 2 figures, 2 table
Quantum Bayesian implementation
Bayesian implementation concerns decision making problems when agents have
incomplete information. This paper proposes that the traditional sufficient
conditions for Bayesian implementation shall be amended by virtue of a quantum
Bayesian mechanism. In addition, by using an algorithmic Bayesian mechanism,
this amendment holds in the macro world.Comment: 14 pages, 3 figure
Parrondo's games as a discrete ratchet
We write the master equation describing the Parrondo's games as a consistent
discretization of the Fokker--Planck equation for an overdamped Brownian
particle describing a ratchet. Our expressions, besides giving further insight
on the relation between ratchets and Parrondo's games, allow us to precisely
relate the games probabilities and the ratchet potential such that periodic
potentials correspond to fair games and winning games produce a tilted
potential.Comment: 4 pages, 3 figure
On the dependence of the leak-rate of seals on the skewness of the surface height probability distribution
Seals are extremely useful devices to prevent fluid leakage. We present
experimental result which show that the leak-rate of seals depend sensitively
on the skewness in the height probability distribution. The experimental data
are analyzed using the critical-junction theory. We show that using the
top-power spectrum result in good agreement between theory and experiment.Comment: 5 pages, 9 figure
Leak-rate of seals: comparison of theory with experiment
Seals are extremely useful devices to prevent fluid leakage. We present
experimental results for the leak-rate of rubber seals, and compare the results
to a novel theory, which is based on percolation theory and a recently
developed contact mechanics theory. We find good agreement between theory and
experiment.Comment: 6 pages, 10 figure
Analysis of two-player quantum games in an EPR setting using geometric algebra
The framework for playing quantum games in an Einstein-Podolsky-Rosen (EPR)
type setting is investigated using the mathematical formalism of Clifford
geometric algebra (GA). In this setting, the players' strategy sets remain
identical to the ones in the classical mixed-strategy version of the game,
which is then obtained as proper subset of the corresponding quantum game. As
examples, using GA we analyze the games of Prisoners' Dilemma and Stag Hunt
when played in the EPR type setting.Comment: 20 pages, no figure, revise
The effect of quantum memory on quantum games
We study quantum games with correlated noise through a generalized
quantization scheme. We investigate the effects of memory on quantum games,
such as Prisoner's Dilemma, Battle of the Sexes and Chicken, through three
prototype quantum-correlated channels. It is shown that the quantum player
enjoys an advantage over the classical player for all nine cases considered in
this paper for the maximally entangled case. However, the quantum player can
also outperform the classical player for subsequent cases that can be noted in
the case of the Battle of the Sexes game. It can be seen that the Nash
equilibria do not change for all the three games under the effect of memory.Comment: 26 pages, 7 ps figure
Minimal Brownian Ratchet: An Exactly Solvable Model
We develop an exactly-solvable three-state discrete-time minimal Brownian
ratchet (MBR), where the transition probabilities between states are
asymmetric. By solving the master equations we obtain the steady-state
probabilities. Generally the steady-state solution does not display detailed
balance, giving rise to an induced directional motion in the MBR. For a reduced
two-dimensional parameter space we find the null-curve on which the net current
vanishes and detailed balance holds. A system on this curve is said to be
balanced. On the null-curve, an additional source of external random noise is
introduced to show that a directional motion can be induced under the zero
overall driving force. We also indicate the off-balance behavior with biased
random noise.Comment: 4 pages, 4 figures, RevTex source, General solution added. To be
appeared in Phys. Rev. Let
Bayesian Nash Equilibria and Bell Inequalities
Games with incomplete information are formulated in a multi-sector
probability matrix formalism that can cope with quantum as well as classical
strategies. An analysis of classical and quantum strategy in a multi-sector
extension of the game of Battle of Sexes clarifies the two distinct roles of
nonlocal strategies, and establish the direct link between the true quantum
gain of game's payoff and the breaking of Bell inequalities.Comment: 6 pages, LaTeX JPSJ 2 column format, changes in sections 1, 3 and 4,
added reference
- …