Robust Cyclical Growth

The stability of cyclical growth within the context of a model in Matsuyama (1999) is examined.It is shown that but for an extreme situation, the two-cycles are unique and a range of parameter values which imply the stability of such cyclical growth is derived. The growth enhancing property of 2-cycles are shown to be retained by any cycle; the results of simulation exercises carried out are reported to show that for very wide range of parameter values, such cyclical growth paths are stable and thus robustness of the conclusions are established. Finally, the configuration of parameters for which the dynamics exhibits complicated (chaotic) behavior is also identified.

Global Stability Conditions on the Plane

The paper considers price adjustment on the plane and derives global stability conditions for such dynamics. First, we examine the well-known Scarf Example, to obtain and analyze a global stability condition for this case. Next, for a general class of excess demand functions, a set of conditions is identified which guarantee not only convergence to some equilibrium but also robustness of these properties.

Stability of the Market Economy in the Presence of Diverse Economic Agents

The stability of market economy is defined and stability conditions deduced which do not appear to restrict preferences in any significant manner. This assumes importance when considering economies where diversity among agents is known to exist. It is shown that if a condition on the rank of the Jacobian matrix of the excess demand functions at equilibria is satisfied then equilibria will be locally asymptotically stable. When this condition is not met, it is shown how redistributing resources may lead to stable competitive equilibrium. It is also shown how instead of imposing credible penalties, which may cause significant incentive problems, redistributing resources may serve to provide the correct incentives to agents who otherwise might have contributed to market failure