In a recent published paper, Bethmann analyzed a stylised Robinson Crusoe economy, defining the state-like and control-like variables and then introducing the value-function-like function. He claims in the final section, that even if the model can be solved explicitly, but with complicated...

This paper reformulates the neoclassical Solow-Swan model of economic growth in discrete time by introducing a generic population growth law that verifies the following properties: 1) population is strictly increasing and bounded 2) the rate of growth of population is decreasing to zero as time...

This paper reformulates the neoclassical Solow-Swan model of economic growth in discrete time by introducing a generic population growth law that verifies the following properties: 1) population is strictly increasing and bounded 2) the rate of growth of population is decreasing to zero as time...

We consider an exchange economy with an atomless space of consumers whose preference relations need not be monotone. We prove that if for every commodity, there is a group of consumers who regard it as potentially desirable, in a sense to be made precise, then there exists a competitive...

In this paper, we generalize the lattice theoretical comparative statics by Li Calzi and Veinott, and Milgrom and Shannon. While their theorem is constructed on lattices, particularly on partially ordered sets, we do not require the antisymmetry on a binary relation defined on the set. On the...

The standard Le Chatelier Principle states that the long-run demand for a good (in which by definition there are fewer restraints on the variables) is more elastic than short-run demand. The fundamental insight above goes well beyond demand theory, and proofs of this basic idea have been found...