Barkley Rosser has been a pioneer in arguing the case for the mathematics of discontinuity, broadly conceived, to be placed at the foundations of modelling economic dynamics. In this paper we reconsider this vision from the broad perspective of a variety of different kinds of mathematics and...

This paper presents simple su±cient conditions under which optimal bunches inadverse-selection principal-agent problems can be characterized without using optimal controltheory.

Top-down models usually include piecewise-smooth functions to describe marginal cost curves, while bottom-up models describe those curves with a step function. When a bottom-up cost curve is available, we can explicitly represent this curve with a top-down model in order to replicate its shape...

This paper introduces a new class of utility functions---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...

Renewable energy is the kind of energy including hydro, geothermal, solar, biomass and wind which presents as same in the next day according to natural cycle process. Renewable energy resources, like for all the other countries, make up a significance role in reliable energy supply from...

We present a new statistical method that describes the localization patterns of industries in a continuous space. The proposed method does not divide space into subunits whereby it is not affected by the Modifiable Areal Unit Problem (MAUP). Our method fulfils all five criteria for a spatial...

In this paper we study the formation and the stability of International Environmental Agreements (IEAs) in a pollution abatement model with a quadratic cost function. Countries play a two-stage game: in the first stage each country decides to join or not the coalition while, in the -second...

In this paper, we use a distance-based method, specifically the Ripley’s K function, to evaluate the spatial location patterns of Spanish manufacturing establishments and to assess the different tendencies to cluster in each sector or subsector relative to the whole of manufacturing....

This paper presents an imperfect competition framework where growth is described as successful R&D investments in decreasing production-cost technologies. Innovation and imitation processes are modelled as activities requiring different amounts of investment, whose outcome is uncertaint both as...

Das Äquivalenzprinzip der Finanzmathematik vergleicht und bewertet Zahlungsströme. Dazu ist eine Bewertung von Zeit und von Unsicherheit notwendig. Aus einem mathematischen Blickwinkel gesehen ist die Bewertung eine Äquivalenzrelation. Diese Darstellungsweise gibt einen einheitlichen formalen...