Recent Contributions to Mathematical Economics

Recent Contributions to The Mathematical Theory of Communication

This paper is written in three main sections. In the first and third, W. W. is responsible both for the ideas and the form. The middle section, namely “2), Communication Problems of Level A” is an interpretation of mathematical papers by Dr. Claude E. Shannon of the Bell Telephone Laboratories. Dr. Shannon’s work roots back, as von Neumann has pointed out, to Boltzmann’s observation, in some of...

Methodological Shortcomings in Classical Mathematical Economics: A Critical Examination of the Contributions of Cournot, Jevons and Walras

This paper examines critically the contributions of Cournot, Jevons and Walras as the founders of classical mathematical economics from a methodological standpoint. Advances in different economic schools and doctrines in the 19th century produced an environment of multi-dimensionality in economic analysis which was regarded by the pioneers of classical mathematical economists as a chaotic state...

Experimental Economics: Contributions, Recent Developments, and New Challenges

Although economics has long been considered as a non-experimental science, the development of experimental economics and behavioral economics is amazingly rapid and affects most fields of research. This paper first attempts at defining the main contributions of experiments to economics. It also identifies four main trends in the development of experimental research in economics. The third contr...

Four Contributions to Experimental Economics

Feller's Contributions to Mathematical Biology

This is a review of William Feller’s important contributions to mathematical biology. The seminal paper [Feller 1951] Diffusion processes in genetics was particularly influential on the development of stochastic processes at the interface to evolutionary biology, and interesting ideas in this direction (including a first characterization of what is nowadays known as “Feller’s branching diffusio...