The Action Principle in Market Mechanics

This paper explores the possibility that asset prices, especially those traded in large volume on public exchanges, might comply with specific physical laws of motion and probability. The paper first examines the basic dynamics of asset price displacement and finds one can model this dynamic as a harmonic oscillator at local "slices" of elapsed time. Based on this finding, the paper theorizes that price displacements are constrained, meaning they have extreme values beyond which they cannot go when measured over a large number of sequential periods. By assuming price displacements are also subject to the principle of stationary action, the paper explores a method for measuring specific probabilities of future price displacements based on prior historical data. Testing this theory with two prevalent stock indices suggests it can make accurate forecasts as to constraints on extreme price movements during market "crashes" and probabilities of specific price displacements at other times.Comment: 21 page

Tax Compliance as a Wicked System

This Article proposes a new typology and framework for tax compliance systems. Traditionally-competing approaches such as deterrence theory, behaviorist theory, and game theoretic models taken together suggest that tax compliance is perhaps a new type of system—a “wicked system”—that is only partially comprehensible by understanding the traditional theories alone. If correct, previously competing theories become simply different limiting cases of the same underlying “wicked system.” The Article concludes with a discussion of the framework’s limitations and presents initial solutions and challenges for future work

There is No Spoon: Reconsidering the Tax Compliance Puzzle

For over 40 years theorists have sought the effects of tax audits on voluntary compliance rates by studying individual taxpayer motivations. Yet no single theory has produced a taxpayer incentive model that both comports with experience and explains the effects of audits on compliance. This quandary is often termed the “tax compliance puzzle.” Consequently, some theorists have called for more capacious models that make room for the panoply of individual compliance motivations. This Article proposes that a more complex model is unnecessary. To the contrary, complex compliance and enforcement data can result from extremely simple behavioral rules of individual taxpayers and government examiners interacting over time. This Article describes an agent-based computational model that uses a single, simple rule of action for each taxpayer and examiner. The model produces three interesting effects supporting the conclusion that there may be no tax compliance puzzle to solve. First, the results comport with known U.S. compliance and audit rates. Second, the results suggest that while audit probability influences individual compliance decisions, it has negligible effects on system-level compliance patterns. Third, the results support the theory that the perceived strength of the tax authority correlates directly—but nonlinearly—with voluntary compliance rates. The model is not complete enough to determine conclusively that this last effect is due to perceived strength of the tax authority alone and might be due instead to factors such as social norms and other behaviorist theories

Constraints on IRS Control: An Alternative Approach to Tax Gap Analysis

A tax authority wants to take actions it knows will foster the greatest degree of voluntary taxpayer compliance to reduce the “tax gap.” This paper suggests that even if a tax authority could attain a state of complete knowledge, there are constraints on whether and to what extent such actions would result in reducing the macro-level tax gap. These limits are not merely a consequence of finite agency resources. They are inherent in the system itself. To show that this is one possible interpretation of the tax gap data, the paper formulates known results in a different way by analyzing tax compliance as a population with a single covariate. This leads to a standard use of the logistic map to analyze the dynamics of non-compliance growth or decay over a sequence of periods. This formulation gives the same results as the tax gap studies performed over the past fifty years in the U.S. given the published margins of error. Limitations and recommendations for future work are discussed, along with some implications for tax policy

The Action Principle in Market Mechanics

This paper explores the possibility that asset prices, especially those traded in large volume on public exchanges, might comply with specific physical laws of motion and probability. The paper first examines the basic dynamics of asset price displacement and finds one can model this dynamic as a harmonic oscillator at local "slices" of elapsed time. Based on this finding, the paper theorizes that price displacements are constrained, meaning they have extreme values beyond which they cannot go when measured over a large number of sequential periods. By assuming price displacements are also subject to the principle of stationary action, the paper explores a method for measuring specific probabilities of future price displacements based on prior historical data. Testing this theory with two prevalent stock indices suggests it can make accurate forecasts as to constraints on extreme price movements during market "crashes" and probabilities of specific price displacements at other times