A powerful method for computing Nash equilibria in constrained, multi-player games is created when the relaxation algorithm and the Nikaido-Isoda function are used within a MATLAB application. This paper describes that application, which is able to solve static and open-loop dynamic games...

We provide an introduction to a model of social inequality dynamics. Because capital is distributed less equally than labour, we propose that that one of the main forces driving income inequality is the ratio of factor shares. In this paper we give an easy proof to show that this ratio is driven...

This paper examines whether changes in New Zealand income inequality can be attributed to the shares of national income taken by capital and labour. Data on income inequality aggregates both capital income (rents, interest, profits) and labour income (wages and salaries). It is possible that...

Computing the optimal trajectory over time of key variables is a standard exercise in decision-making and the analysis of many dynamic systems. In practice however, it is often enough to ensure that these variables evolve within certain bounds. In this paper we study the problem of setting...

Consider an electricity market populated by competitive agents using thermal generating units. Generation often emits pollution which a planner may wish to constrain through regulation. Furthermore, generators’ ability to transmit energy may be naturally restricted by the grid’s facilities....

Computing the solution to a stochastic optimal control problem is difficult. A method of approximating a solution to a given stochastic optimal control problem using Markov chains was developed in [1]. This paper describes a suite of MATLAB functions implementing this method of approximating a...

A powerful method for computing Nash equilibria in constrained, multi-player games is created when the relaxation algorithm and the Nikaido-Isoda function are used together in a suite of MATLAB routines. This paper updates the MATLAB suite described in \cite{Berridge97} by adapting them to...

Computing a numerical solution to a periodic optimal control problem is difficult. A method of approximating a solution to a given (stochastic) optimal control problem using Markov chains was developed in [3]. This paper describes an attempt at applying this method to a periodic optimal control...