“Okun’s Law” states a 3:1 proportion between percent growth in U. S. real GNP and percent decrease in the rate of unemployment. This paper argues that this ratio is actually a Pi:1 proportion, heretofore unrecognized because it is displayed through a form of mathematic / harmonic inverse....

In Albers & Albers (Spring, 2013) we demonstrated that the historic development of U.S. real GNP, 1869-present, may be structured in recurring 14-year periods. A steady-state rate of growth of 3.4969% is thereby calculated, generating an increase in real GNP proportional to the famous “Golden...

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...

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);...

In sum, in these essays I explore the self-similarity between levels, the fractal structure of reality, through an investigation of an inherent and unavoidable uncertainty which is unique to each level. These essays will demonstrate that as each level struggles to resolve its own inherent...

The Long-Wave theories of Nikolai Kondratiev and others claim to find mathematic waves in economic and other social data which are at present in dispute. Currently the theory is considered outside the scope of mainstream economics under several rationales. Despite the lack of mainstream...

Suppose it is possible to make approximate interpersonal comparisons of welfare gains and losses. Thus, if w, x, y, and z are personal psychophysical states (each encoding all ethically relevant information about the physical and mental state of a person), then it sometimes possible to say,...

`Relative Utilitarianism' (RU) is a version of classical utilitarianism, where each person's utility function is rescaled to range from zero to one. As a voting system, RU is vulnerable to preference exaggeration by strategic voters. The Groves-Clarke Pivotal Mechanism elicits truthful...

The Clarke Pivotal Voting Mechanism (CPVM) elicits truthful revelation of utility functions by requiring any `pivotal' voter to pay a monetary `Clarke tax'. This neglects wealth effects and gives disproportionate power to rich voters. We propose to replace the `Clarke tax' with a lottery,...

Some social choice models assume that precise interpersonal comparisons of utility (either ordinal or cardinal) are possible, allowing a rich theory of distributive justice. Other models assume that absolutely no interpersonal comparisons are possible, or even meaningful; hence all...