77 research outputs found
A new discrete velocity method for Navier-Stokes equations
The relation between Latttice Boltzmann Method, which has recently become
popular, and the Kinetic Schemes, which are routinely used in Computational
Fluid Dynamics, is explored. A new discrete velocity model for the numerical
solution of the Navier-Stokes equations for incompressible fluid flow is
presented by combining both the approaches. The new scheme can be interpreted
as a pseudo-compressibility method and, for a particular choice of parameters,
this interpretation carries over to the Lattice Boltzmann Method.Comment: 28 pages, 8 figure
Doves and hawks in economics revisited. An evolutionary quantum game theory-based analysis of financial crises
The last financial and economic crisis demonstrated the dysfunctional
long-term effects of aggressive behaviour in financial markets. Yet,
evolutionary game theory predicts that under the condition of strategic
dependence a certain degree of aggressive behaviour remains within a given
population of agents. However, as the consequences of the financial crisis
exhibit, it would be desirable to change the 'rules of the game' in a way that
prevents the occurrence of any aggressive behaviour and thereby also the danger
of market crashes. The paper picks up this aspect. Through the extension of the
in literature well-known Hawk-Dove game by a quantum approach, we can show that
dependent on entanglement, also evolutionary stable strategies can emerge,
which are not predicted by classical evolutionary game theory and where the
total economic population uses a non aggressive quantum strategy
Modelling opinion formation by means of kinetic equations
In this chapter, we review some mechanisms of opinion dynamics that can be modelled by kinetic equations. Beside the sociological phenomenon of compromise, naturally linked to collisional operators of Boltzmann kind, many other aspects, already mentioned in the sociophysical literature or no, can enter in this framework. While describing some contributions appeared in the literature, we enlighten some mathematical tools of kinetic theory that can be useful in the context of sociophysics
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