In this paper it is shown that an extended evolutionary system proposed by Hofbauer and Sigmund (1998) may be transformed into a Kukles system. Then a Dulac-Cherkas function related to the Kukles system is derived, which allows us to determine the number of limit cycles or its non-existence.

In this paper, we reconsider the Foley model of Liquidity / Profit-Rate Cycles where such cycles are generated as bifurcations from initially attracting steady states if a parameter of the model crosses a critical value, for example the growth rate of money supply as in the Foley paper. We...

In this paper the existence and stability of equilibria in an evolutionary game theory model of the labor market is studied by using the Lyapunov method. The model display multiple equilibria and it is shown that the Nash Equilibria of the static game are evolutionary stable equilibria in the...

In this paper the existence and stability of equilibria in an evolutionary game theory model of the labor market is studied by using the Lyapunov method. The model display multiple equilibria and it is shown that the Nash Equilibria of the static game are evolutionary stable equilibria in the...

In this paper the existence and stability of equilibria in an evolutionary game theory model of the labor market is studied by using the Lyapunov method. The model display multiple equilibria and it is shown that the Nash Equilibria of the static game are evolutionary stable equilibria in the...

In this paper the existence and stability of equilibria in an evolutionary game theory model of the labor market is studied by using the Lyapunov method. The model display multiple equilibria and it is shown that the Nash Equilibria of the static game are evolutionary stable equilibria in the...

In this paper the existence and stability of equilibriums in an evolutionary game theory model of the labour market is studied by using the Lyapunov method. The model displays multiple equilibriums and it is shown that the Nash equilibriums of the static game are evolutionary stable equilibrium...

In this paper the existence and stability of equilibriums in an evolutionary game theory model of the labour market is studied by using the Lyapunov method. The model displays multiple equilibriums and it is shown that the Nash equilibriums of the static game are evolutionary stable equilibrium...