Search results for "Alice and Bob"

showing 2 items of 2 documents

An operator-like description of love affairs

2010

We adopt the so--called \emph{occupation number representation}, originally used in quantum mechanics and recently considered in the description of stock markets, in the analysis of the dynamics of love relations. We start with a simple model, involving two actors (Alice and Bob): in the linear case we obtain periodic dynamics, whereas in the nonlinear regime either periodic or quasiperiodic solutions are found. Then we extend the model to a love triangle involving Alice, Bob and a third actress, Carla. Interesting features appear, and in particular we find analytical conditions for the linear model of love triangle to have periodic or quasiperiodic solutions. Numerical solutions are exhibi…

Physics - Physics and SocietyPure mathematicsLove affairDynamical systems theoryApplied MathematicsBosonic operators; Heisenberg-like dynamics; Dynamical systems; Numerical integration of ordinary differential equationsLinear modelFOS: Physical sciencesPhysics and Society (physics.soc-ph)Canonical commutation relationNonlinear systemTheoretical physicsNumber representationAlice and BobSettore MAT/07 - Fisica MatematicaMathematics
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Strong Quantum Solutions in Conflicting Interest Bayesian Games

2017

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)]. The general setting for such games is that of correlated strategies where the correlation between competing players is established through a trusted common adviser; however, players need not reveal their input to the adviser. So far, the quantum advantage in such games has been revealed in a restricted sense. Given a quantum correlated equilibrium strategy, one of the players can still receive a higher than quantum average payoff with some classically correlated equilibrium str…

PhysicsClass (set theory)Correlated equilibriumComputer Science::Computer Science and Game TheoryQuantum PhysicsBayesian probabilityStochastic gameFOS: Physical sciencesQuantum entanglement01 natural sciences010305 fluids & plasmasAlice and BobComplete information0103 physical sciencesStatistical physics010306 general physicsQuantum Physics (quant-ph)Mathematical economicsQuantum
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