We describe a method for finding the families of relative equilibria of molecules which bifurcate from an equilibrium point as the angular momentum is increased from 0. Relative equilibria are steady rotations about a stationary axis during which the shape of the molecule remains constant. We show that the bifurcating families correspond bijectively to the critical points of a function h on the...

We pose the problem of computing approximate Nash equilibria in bimatrix games with two simultaneous criteria of optimization: minimization of the incentives to deviate from a strategy profile and maximization of a measure of quality of the strategy profile. We consider two natural measures of quality: the maximum and the minimum of the payoffs of the two players. Maximizing the former yields p...

Nash equilibria have been widely used in cognitive radio systems, sensor networks, defense networks and gene regulatory networks. Although solving Nash equilibria has been proved difficult in general, it is still desired to have algorithms for solving the Nash equilibria in various special cases. In this paper, we propose a compressed sensing based algorithm to solve Nash equilibria. Such compr...

What is the relation between notion of Nash equilibria and Pareto-optimal points? It well known that do not need to be Pareto optimal, points equilibria. However, paper “Characterizing Computing Set Equilibria via Vector Optimization” by Feinstein Rudloff takes a deeper look at relation. shown it possible characterize set all as solutions certain vector optimization problem. This accomplished c...

Repeated games with imperfect private monitoring have a wide range of applications, but a complete characterization of all equilibria in this class of games has yet to be obtained. The existing literature has identified a relatively tractable subset of equilibria. The present paper introduces the notion of weakly belief-free equilibria for repeated games with imperfect private monitoring. This ...

Repeated games with imperfect private monitoring have a wide range of applications, but a complete characterization of all equilibria in this class of games has yet to be obtained. The existing literature has identified a relatively tractable subset of equilibria. The present paper introduces the notion of weakly belief-free equilibria for repeated games with imperfect private monitoring. This ...

We develop a new method for deriving minimal state variable (MSV) equilibria of a general class of Markov switching rational expectations models and a new algorithm for computing these equilibria. We compare our approach to previously known algorithms, and we demonstrate that ours is both efficient and more reliable than previous methods in the sense that it is able to find MSV equilibria that ...

We show that under horizontal differentiation pure symmetric Cournot equilibria exist if firms react to a rise in competitors’ output in such a way that their market price does not rise. This condition is related to strategic complementarity, but not to convexity or differentiability. We rule out multiple equilibria under some additional conditions and discuss stability and regularity of equili...

We show that the set of communication equilibria of any finite Bayesian game can be implemented in correlated equilibria of an extended game, where before playing in the underlying game players engage in a possibly infinitely long, plain, pre-play communication.

A  tuberculosis (TB) model with  lost sight  and multiple latent classes  is considered and studied. We derive the basic reproduction ratio $mathcal R_0$. There is always a globally asymptotically stable equilibrium state. Depending on the value of   $mathcal{R}_0$, this state can be either endemic ($mathcal{R}_0> 1$), or infection-free ($mathcal{R}_0leq 1$). The global asymptotic stability of ...