In this paper, a rectangular lattice Boltzmann model is proposed for nonlinear convection-diffusion equations (NCDEs). The model can be used to solve NCDEs with very general form by using a real/complex-valued quadric equilibrium distribution function and relaxation time. Detailed simulations on several examples are performed to validate the model. The numerical results show good agreement with...

We study the effect of learning with heterogeneous beliefs on the exploitation of a renewable common-pool resource. To that end, we extend the Great Fish War model of Levhari and Mirman (1980) to a learning environment in which several agents interact strategically and learn about the distribution of the stochastic evolution of the resource. We find that the effect of anticipation of learning w...

A general matrix-based scheme for analyzing the long-time dynamics in kinetically constrained models such as the East model is presented. The treatment developed here is motivated by the expectation that slowly relaxing spin domains of arbitrary size govern the highly cooperative events that lead to spin relaxation at long times. To account for the role of large spin domains in the dynamics, a ...

In some auction domains, there is uncertainty regarding the final availability of the goods being auctioned off. For example, a government may auction off spectrum from its public safety network, but it may need this spectrum back in times of emergency. In such a domain, standard combinatorial auctions perform poorly because they lead to violations of individual rationality (IR), even in expect...

The paper studies the routing in the network shared by several users. Each user seeks to optimize either its own performance or some combination between its own performance and that of other users, by controlling the routing of its given flow demand. We parameterize the degree of cooperation which allows to cover the fully non-cooperative behavior, the fully cooperative behavior, and even more,...

ion Using Analysis of Subgames Anjon Basak and Christopher Kiekintveld 1 The University of Texas at El Paso [email protected], 2 The University of Texas at El Paso [email protected] Abstract. Normal form games are one of the most familiar representations for modeling interactions among multiple agent. However, modeling many realistic interactions between agents results in games that a...

A mathematical model describing the dynamics  of a  delayed  stage structure prey - predator  system  with  prey  refuge  is  considered.  The  existence,  uniqueness  and bounded- ness  of  the  solution  are  discussed.    All  the  feasibl e  equilibrium  points  are determined.  The   stability  analysis  of  them  are  investigated.  By  employ ing  the time delay as the bifurcation parame...

We study the o -equilibrium dynamics of a particle in a general N dimensional random potential whenN !1. We demonstrate the existence of two asymptotic time regimes: i. stationary dynamics, ii. slow aging dynamics with violation of equilibrium theorems. We derive the equations obeyed by the slowly varying part of the two-times correlation and response functions and obtain an analytical solution...

In this paper we introduce a new closure which provides consistent models intermediate between the full kinetic description and the corresponding diffusion limit. This closure is of non local type in the sense that it involves pseudo-differential operators. We propose numerical approximations to treat such non local terms. We apply the whole strategy to the system of radiative hydrodynamics in ...