Malicious behaviors and cooperation have been well studied separately. However, rare systematic study has been conducted on the combination of them: malicious cooperation. In this paper, a general quantitative utility function of malicious cooperation is firstly formulated in a congestion game framework. Both objective and subjective factors are incorporated (e.g., malicious social networks and...

In this paper, we present and analyze a cholera epidemiological model with control measures incorporated. This model is extended from the one proposed in [16] by including the effects of vaccination, therapeutic treatment, and water sanitation. Equilibrium analysis is conducted in the case with constant controls for both epidemic and endemic dynamics. Optimal control theory is applied to seek c...

We extend the basic phase field model to physical problems in which fluid properties, such as velocity, pressure and density variations, are incorporated along with heat properties within the context of a unified and consistent derivation. One thereby obtains a system of parabolic differential equations with the variables temperature, phase, fluid velocity, density and pressure. The constants i...

A mathematical model for the computation of the phase equilibrium and gas-particle partitioning in atmospheric organic aerosols is presented. The thermodynamic equilibrium is determined by the global minimum of the Gibbs free energy under equality and inequality constraints for a system that involves one gas phase and many liquid phases. A primal-dual interior-point algorithm is presented for t...

A systematic departure from optimizing behavior is incorporated into a notion of equilibrium in in ̄nitely repeated 2£2 games. In \Experimental Equilibrium", players test (excatly once) every threat that causes optimal response to be non-myopic. Otherwise, they adhere to best-replying. I derive necessary conditions for mutually non-myopic behavior to be sustained in equilibrium. These conditions...

Unconventional Statistical Mechanics is introduced as a practical succedaneous to the conventional well established Boltzmann-Gibbs statistical mechanics, when in the use of the latter the researcher is impaired in his/her capacity for satisfying the Criterion of Sufficiency in statistics [Fisher, 1922], that is , a failure in the characterization of the system related to some aspect relevant t...

The present work studies the behavior of a monopolistic informed trader in a two-period competitive dealer market. We show that the informed trader may engage in stock price manipulation as a result of the exploitation of his informational advantage (su±cient conditions are provided). The informed trader achieves this manipulation by not trading in the ̄rst period according to the information r...

In  this  paper a  non-linear  model  with  fractional  order  is  presented  for  analyzing  and  controlling the  spread  of  HIV virus.  Both  the  disease-free  equilibrium and the endemic equilibrium are  found  and  their  stability is  discussed. The basic reproduction number , which is a function of the constant parameters in the model, plays an essential  role in the stability of  the ...