An equilibrium in an infinite horizon game is called a finite state equilibrium, if each player’s action on the equilibrium path is given by an automaton with a finite state space. We provide a complete characterization of this class of equilibria and provide a recursive computational method to check the equilibrium conditions. This encompasses the majority of existing works on repeated games w...

A set of equilibrium states in a system consisting of economic agents, economic reservoirs, and firms is considered. Methods of irreversible microeconomics are used. We show that direct sale/purchase leads to an equilibrium state which depends upon the coefficients of supply/demand functions. To reach the unique equilibrium state it is necessary to add either monetary exchange or an intermediat...

In this paper, we propose and analyze a mathematical model describing the effect of awareness programs by public media on the prevalence of Typhoid fever. A threshold quantity $R_{0}$, similar to the basic reproduction number is derived. We investigate the biologically meaningful equilibrium points and their local stability analysis. The global stability analysis has been performed with respect...

(K,Na)NbO3 is a lead-free and sustainable ferroelectric material with electromechanical parameters comparable to Pb(Zr,Ti)O3 (PZT) other lead-based solid solutions. It therefore promising candidate for caloric cooling energy harvesting applications. Specifically, the structural transition from low-temperature Mc- high-temperature c-phase displays rich hierarchical order of domains superdomains,...

An algorithm is presented which enables one to determine the nature of the equilibrium state of a system with constant inputs by direct inspection of its bond graph representation. The algorithm determines whether or not there exists a unique equilibrium state (within a certain region). If not, the system may have no (or injinitely many) equilibrium states in the linear case.