The development of a mechanistic analytical approach – since mid-19th century to WWI, and beyond – is a well-known story in European economic thought, the story of Cournot, Jevons, Walras, Edgeworth, Pareto, and many others. We could refer to this tradition as “mathematical deductivism”,...

The approach that allows find European option price on the assumption of hedging at discrete times is proposed. The routine allows find the option price not for lognormal distribution functions of underlying asset only but for other classes of distribution functions too. It is shown that there...

We consider mean-reverting stochastic processes and build a self- consistent model for forward price dynamics and their applications in power industries. This model with stochastic volatility of the forward price is built using the ideas and equations of stochastic differential geometry in order...

This paper analyzes the genericity of bifurcations of one-parameter families of smooth (C1) vector fields that are embedded in an underlying multi-dimensional parameter space. Bifurcations with crossing equilibrium loci are called 'split bifurcations.' They include, for example, the pitchfork...

In this paper, we begin the modeling of bond and currency prices from the modeling of the state-price density satisfying basic properties of a potential. We provide extensive examples and show their implications on bond and currency pricing. Most classic short rate models are special cases of...

The model of exchanges in a competitive economy is developed that is based on an economic agent model who maximises the levels of satisfying his demands. The existence of a weak tendency to formation of value is shown. The interrelation between value and (a) technologies, (b) shadow prices in...

We reprove a result of J. Bergin on the continuity of the correspondences of probability measures on a product space with restricted marginals. The proof is based on some functorial properties of probability measures. It works also for arbitrary number of coordinate spaces and for non-metrizable...

This paper studies models where the correspondences (or functions) under consideration are never increasing (or weakly decreasing) in endogenous variables, and weakly increasing in exogenous parameters. Such models include games of strategic substitutes, and include cases where additionally,...

This paper introduces a new class of utility function -- the power risk aversion.It is shown that the CRRA and CARA utility functions are both in this class. The implications of the PRA utility functions are explored in the context of growth theory. In particular, it is found that economies...

It's commonly known that the correlation between stocks increases during market turbulent periods. In this work we propose a modellization of this feature, viewed as a collective effect, rearranging a toy-model first proposed in 2001. Equities are modelled as quasi random walk variables, where...