The title of this monograph could have been "What does one do if Anything Goes"; a friend suggested that I should use it as a sub-title instead of the more prosaic one that I have used. There are two basic "Anything Goes" type of results which influence the role of dynamics in economic theory....

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...

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...

A discrete tatonnement process is analysed within the context of a two-person, two-good exchange economy where each person has a Cobb-Douglas utility function. This process is shown to exhibit period doubling bifurcation, topological and ergodic chaos.

This textbook - for postgraduate students learning mathematical methods in economics - provides a comprehensive account of mathematics required to analyse and solve problems of choice encountered by economists. It looks at a wide variety of decision-making problems, both static and dynamic, in...