Multi-agent Model of the Price Flow Dynamics

Vadim Malyshev (), Anatoly Manita () and Andrei Zamyatin ()
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Vadim Malyshev: Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Anatoly Manita: Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Andrei Zamyatin: Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

A chapter in Traffic and Granular Flow '11, 2013, pp 95-105 from Springer

Abstract: Abstract On the real line initially there are infinite number of particles on the positive half-line., each having one of K negative velocities $$v_{1}^{(+)},\ldots,v_{K}^{(+)}$$ . Similarly, there are infinite number of antiparticles on the negative half-line, each having one of L positive velocities $$v_{1}^{(-)},\ldots,v_{L}^{(-)}$$ . Each particle moves with constant speed, initially prescribed to it. When particle and antiparticle collide, they both disappear. It is the only interaction in the system. We find explicitly the large time asymptotics of β(t) – the coordinate of the last collision before t between particle and antiparticle.

Keywords: Random Walk; Boundary Movement; Piecewise Constant Function; Random Configuration; Quarter Plane (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-39669-4_10

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DOI: 10.1007/978-3-642-39669-4_10

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