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Evolutionary Game Theory in Mixed Strategies: From Microscopic Interactions to Kinetic Equations
(American Institute of Mathematical Sciences, 2021-01)
In this work we propose a kinetic formulation for evolutionary game theory for zero sum games when the agents use mixed strategies. We start with a simple adaptive rule, where after an encounter each agent increases by a ...
Wave packet dynamics for a non-linear Schrödinger equation describing continuous position measurements
(Academic Press Inc Elsevier Science, 2015-11)
We investigate time-dependent solutions for a non-linear Schrödinger equation recently proposed by Nassar and Miret-Artés (NM) to describe the continuous measurement of the position of a quantum particle (Nassar, 2013; ...
Modeling the dynamics of black holes through balanced equations of motion in the null gauge
(World Scientific, 2019-09)
We develop further the general framework for modeling the dynamics of the motion of black holes, presented in [E. Gallo and O. M. Moreschi, Modeling the dynamics of black holes through balanced equations of motion, Int. ...
Wavelet-Petrov-Galerkin method for the numerical solution of the KdV equation
(Hikari Ltd., 2012-01-01)
The development of numerical techniques for obtaining approximate solutions of partial differential equations has very much increased in the last decades. Among these techniques are the finite element methods and finite ...
Comment on “Generalized differential transform method to differential-difference equation” by L. Zou et al.
(Elsevier Science, 2021-08)
We show that the differential transform is the well known Taylor series (contrary to what the authors claim) and that the differential transform method (DTM) is the well known Frobenius method, commonly used to obtain exact ...
Application of the differential method to uniaxial gratings with an infinite number of refraction channels: Scalar case
(Elsevier Science, 2006-02)
The differential method (also called the C method) is applied to the diffraction of linearly polarized plane waves at a periodically corrugated boundary between vacuum and a linear, homogeneous, uniaxial, dielectric-magnetic ...
Well-posedness of a system of transport and diffusion equations in space of measures
(Academic Press Inc Elsevier Science, 2020-12)
In this paper, we establish the well-posedness of the following system of two transport equations coupled with a diffusion equation: ∂tμt1+∇⋅(v1[μt]μt1)=N1(t,μt),∂tμt2−Δμt2=N2(t,μt),∂tμt3+∇⋅(v2[μt]μt3)=N3(t,μt), in Rd where ...
Towards a generalization of Dupire's equation for several assets
(Academic Press Inc Elsevier Science, 2009-07)
We pose the problem of generalizing Dupire’s equation for the price of call options on a basket of underlying assets. We present an analogue of Dupire’s equation that holds in the case of several underlying assets provided ...
Equation of state for five-dimensional hyperspheres from the chemical-potential route
(American Physical Society, 2015-08)
We use the Percus-Yevick approach in the chemical-potential route to evaluate the equation of state of hard hyperspheres in five dimensions. The evaluation requires the derivation of an analytical expression for the contact ...