The thesis of this paper is mathematical formulation of the laws of Economics with application of the principle of Least Action of classical mechanics. This paper is proposed as the rigorous mathematical approach to Economics provided by the fundamental principle of the physical science – the...

lecture note from the deptartment ECARES within the Université libre de Bruxelles of the academic year 2014/'15; static optimization, riemann integrals and tricks for integrating; differential equations; dynamic optimization: calculus of variation and optimal control theory

This note provides some examples of plant leaves whose outline maps exhibit Poincaré recurrence and mixing while subjected to repeated Anosov diffeomorphic transformation. The datasets and a computer program (Fortran 77) have also been given.

This note provides some examples of plant leaves whose outline maps exhibit Poincaré recurrence and mixing while subjected to repeated Anosov diffeomorphic transformation. The datasets and a computer program (Fortran 77) have also been given.

Two-sided markets are an important aspect of today's economies. Yet, the attention they have received in economic theory is limited, mainly due to methodological constraints of conventional approaches: two-sided markets quickly lead to non-trivial dynamics that would require a computational...

Two-sided markets are an important aspect of today's economies. Yet, the attention they have received in economic theory is limited, mainly due to methodological constraints of conventional approaches: two-sided markets quickly lead to non-trivial dynamics that would require a computational...

Two-sided markets are an important aspect of today's economies. Yet, the attention they have received in economic theory is limited, mainly due to methodological constraints of conventional approaches: two-sided markets quickly lead to non-trivial dynamics that would require a computational...

A survey of the results relating to the application of gross substitutability in economic equilibrium theory. The topics considered include existence and uniqueness of equilibrium, comparative statics, coalition stability, and stability of price-adjustment tatonnement processes. The main...

In this paper we introduce basic notions of new economic model where preference relations on commodities set are represented by a group action on Euclidean space instead of utility function. Conditions that ensure the existence of individual demand functions and a general equilibrium in the...