Abstract

As the World built, time established. Economists, however, put the “time” in the “ceteris paribus” basket, i.e. outside demand, supply and price. Moreover, Newton was mistaken in assuming that time flows independently. We saw that since the establishment of analysis, one science borrowed from the other, and economics borrowed from Physics: equilibrium, continuity—where nature does not make leaps—as well as Adam Smith’s invisible hand; in addition, management borrowed negative feedback from mechanical engineering; Newton, unwillingly, however, made harm to management by giving ground to managers to consider “humans as machines”. A whole array of theories and concepts-mentioned-followed from this. But our research passed from surprise to surprise: time in finance has 3 types: clock, trading (investors) and fractal (fractions). Given the difficult concept of “fractality”, we gave a mathematical and a simple geometrical exposition. Moreover, time… in time series is distinguished in further 3 types: random (white noise), persistent (black noise) and antipersistent (pink noise). So far 8 types of time… Einstein added another one: time as the 4th dimension of the Universe… Mathematics in its role in presenting reality-par excellence expressed by “Marginalism” in 1870 in economics—and by using the 1938 “logistic equation” (re-discovered in 1971)—we saw what a “control coefficient” changing in time can achieve by leading the system from stability to chaos. Equilibrium is only a special case when the degree of chaos is low. Economists (Hicks, Joan Robinson) attributed to equilibrium subjective interpretations; we agree that equilibrium is not technical, mathematical or belonging to markets, but psychological. Be happy when accepting a price to be in equilibrium with seller. Samuelson, before modern theory of chaos (after 1968) appeared, he dethroned equilibrium and proved that equilibrium is when firms “maximize profits”...

Highlights

  • As God built the world, the concept of calendar time established

  • The purposes of this paper is: (1) to show the role that time plays in Economics, Finance, Chaos Theory, Physics and Shipping; (2) to state what exactly equilibrium means in Economics, Physics, and Complexity Theory; (3) to use the “logistic equation”, the Henon’s and Lorenz’s attractors in applying chaos to shipping markets and (4) to show the relationship between equilibrium and profit maximization due to Samuelson

  • Tranquility is when economy is in smooth regular markets... where expectations-based upon past experience—are very confidently held... constantly fulfilled and renewed over time, and lucidity, where people are fully aware of the situation in all markets etc

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Summary

Introduction

As God built the world, the concept of calendar time established. The World built in 7 days (one week). During the “day” Sun is present, and during “night” Moon (earth’s satellite) shines. 4 seasons are established by Earth approaching Sun at 4 different distances in 12 Moon rounds (336 days—a year). A month is introduced by a complete orbit of Moon round the Earth (28 days)

Time in Economics
Time in Physics and Thermodynamics
Equilibrium in Economics
The Influence of Newton and Descartes
The Necessity of Equilibrium
Aim and Organization of Paper
Time in Marshall
Does Nature Jump5?
Marshall and Biology
Hicks’ Economic Expectations
Robinson’s “Lucidity” and “Tranquility”
Zannetos Applied Hicks’ Model in Tanker Shipping
Chaos Theory and Complexity
Methodology
Time in Maritime Economy
Trading Time or θ-Theta
Fractal27 Time-FT
Economic Equilibrium
How We Would Like to Interpret Marshall’s Analysis?
Equilibrium with Curves
The Laws of Demand and Supply
A Psychological Equilibrium
The Stability of Equilibrium
Equilibrium in Physics
Equilibrium versus Profit Maximization
The Relationship between Equilibrium and Profit Maximization
Equilibrium in Complexity Theory
The Laid-Up Tonnage as a “Logistic Equation”
Shipping Markets as an Attractor of 2 Difference Equations
Shipping Markets in 3 Differential Equations
Findings
Conclusions

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