A growth property in concave-convex hamiltonian systems
Publisher Summary This chapter discusses a growth property in concave-convex Hamiltonian systems. The analysis of the stability of Hamiltonian dynamical systems in various economic models depends on the curvature of the Hamiltonian function at a rest point of the system or, equivalently, on growth properties involving gradients or subgradients. The chapter presents a general property pointing in particular to a simplification of conditions assumed by Cass and Shell. In the paper of Cass and Shell, a certain global growth property of H (a Hamiltonian) is implicit in the conditions they impose on the underlying technology.