In this paper we give a new technique to obtain the Hamiltonian function in order to solve the driftless control affine systems (distributional systems) with positive homogeneous costs. The method consists by using the Lagrange multipliers and Legendre transformation associated to a singular...

In this paper we study a drift less control affine system with degenerate cost of Kropina type. We use the Pontryagin Maximum Principle in order to find the general solution.

The paper deals with the study of a drift less control affine system with positive homogeneous cost of Randers type in the case of bracket generating distribution of no constant rank. We use the Pontryagin Maximum Principle in order to find the general solution. In the particular case of...

This essay reviews new histories of the role of game theory and rational decision-making in shaping the social sciences, economics among them, in the post war period. The recent books The World the Game Theorists Made by Paul Erickson and How Reason Almost Lost Its Mind by Paul Erickson, Judy...

Various phenomena related to socio-economic aspects of our daily life exhibit equilibrium densities characterized by a power law decay. Maybe the most known example of this property is concerned with wealth distribution in a western society. In this case the polynomial decay at infinity is...

In this paper we argue, that the interaction of technology and economic policy regulations in the energy sector may be described by the so-called slow-fast class of dynamical systems. It is known that such systems may exhibit the blue sky catastrophe, a special type of bifurcation. Application...

Various phenomena related to socio-economic aspects of our daily life exhibit equilibrium densities characterized by a power law decay. Maybe the most known example of this property is concerned with wealth distribution in a western society. In this case the polynomial decay at infinity is...

We present a theory of homogeneous volatility bridge estimators for log-price stochastic processes. The main tool of our theory is the parsimonious encoding of the information contained in the open, high and low prices of incomplete bridge, corresponding to given log-price stochastic process,...

This essay reviews new histories of the role of game theory and rational decision-making in shaping the social sciences, economics among them, in the post war period. The recent books "The World the Game Theorists Made" by Paul Erickson and "How Reason Almost Lost Its Mind" by Paul Erickson,...

When two production techniques are compared, reswitching occurs when a technique begins by being cheapest at a low interest rate, switches to being more expensive at a higher rate, and then reswitches to being cheapest at yet higher rates. Some believe the inconsistency undermines the...