I argue that a form of consciousness may be found in American economic history, one which is both mathematically demonstrable and important. In this book I present a model of economic and political growth based upon systematic addition. We begin with a philosophic model of trade (pp. 34-46);...

This volume – Predicting Crisis: Five Essays on the Mathematic Prediction of Economic and Social Crises – is the first of three sets of essays. In this first set the economic and social history of the United States is shown to be a “system of movement,” i.e. a logical and mathematic...

We extend the finite automata approach to evaluate complexity of strategies in iterative adjustment processes such as auctions. Intuitively, a strategy's complexity is equal to the number of different contingencies in which qualitatively different behaviors are prescribed. Complexity may explain...

Some economists (Mirowski, 2002) have asserted that the neoclassical economic model was motivated by Newtonian mechanics. This viewpoint encourages confusion. Theoretical mechanics is firmly grounded in reproducible empirical observations and experiments, and provides a very accurate description...

This paper investigates the dynamics of stocks in the S&P500 index for the last 30 years. Using a stochastic geometry technique, we investigate the evolution of the market space and define a new measure for that purpose, which is a robust index of the dynamics of the market structure and...

This paper investigates the dynamics of stocks in the S&P500 for the last 33 years, considering the population of all companies present in the index for the whole period. Using a stochastic geometry tech- nique and defining a robust index of the dynamics of the market struc- ture, which is able...

Since Lėon Walras neoclassical economists hold an inalterable belief in a unique and stable equilibrium for the economic system, which remains to this day unobservable. Yet that belief is the corner stone of other theories such as the ‘Efficient Market Hypothesis’ as well as the philosophy...

This article surveys seven directions of consensus theories : Arrowian results, federation consensus rules, metric consensus rules, tournament solutions, restricted domains, abstract consensus theories, algorithmic and complexity issues. This survey is oriented in the sense that it is mainly –...

"Oppositional Analysis" - the name I give to the metaphysics presented in this volume - proposes a number of dichotomies through which one may analyze and understand systematically the structure of every level of reality. Macroeconomic theory, as well as social research, are two excellent stages...