Les aportacions de John F. Nash a l'economia: equilibri i negociació

Abstract

[en] John F. Nash Jr. received the Nobel Prize in Economics in 1994, together with John C. Harsanyi and Reinhard Selten, “for their pioneering analysis of equilibria in the theory of non-cooperative games”, and the Abel Prize in Mathematics in 2015, together with Louis Nirenberg, “for their striking and seminal contributions to the theory of nonlinear partial differential equations and its applications to geometric analysis”. On May 23, 2015, Nash and his wife died in a traffic accident in New Jersey on their way home from the airport, after receiving the Abel Prize. On November 9, 2015, the Catalan Societies of Economics and Mathematics, jointly organized a conference to highlight the scientific contributions of Nash to economics and mathematics. Subsequent publications about these contributions were published. The present project follows the paper published by Jordi Massó because of this conference and its main goal is to analyse the two most important contributions John F. Nash gave to economics, especially to Game Theory. These are Nash Equilibrium in a non-cooperative game (Part II) and Nash Solution to the Bargaining Problem (Part III). We give the detailed proofs of these results and some insights of their importance.