the main requirement for such economic models, which determines their basic predestination, is skill, with which several important basic concepts and principles must harmoniously, competently and simultaneously be incorporated into the theory. The latter is very important since, by the definition of the problem, all concepts and principles play roles that compare their significance in the economy under study.
Despite their simplicity, the first and most well-known conceptual theories of neoclassical economics, such as supply and demand (S&D below), contributed significantly to economic science. They helped economists to better understand the basic elements of the economic world, and they gave rise to graphic conceptualizations that aided the transfer of this knowledge to others, especially students. Early on, conceptual modeling had, and continues to have, great significance. This is also the case in Austrian economics, where it bears the name method of imaginable constructions and it is considered as the basic method in economic inquires. In theoretical physics, it is not acceptable to accentuate attention on the use of models, since theoretical physics itself can rightfully be considered as the conceptual mathematical modeling of physical systems. Specifically, in theoretical physics, the most advanced methods of theoretical modeling of complex systems have been developed. Moreover, there is the required inclination towards conducting the quantitative numerical, and, as precisely as possible, calculations of structure and properties of these models. The deep structural and dynamic analogies between the many-particle physical systems and the many-agent economic systems are exploited in this book to transfer concepts and analytical methods from theoretical physics to economics.
2. The Main Paradigm of Physical Economics
For the achievement of larger clarity, let us again mention the main idea in physical economics regarding the use of analogies with physics. For this purpose, we once more express the thought of the main paradigm of physical economics as follows: physical systems consist of atoms. As was well known long ago, all that the physical systems do, atoms do. Market systems consist of market agents, buyers and sellers. And it is also known that all that the markets do, the market agents do. Both the physical and market economic systems are the complex dynamic systems, whose dynamics are determined by interaction between the elements of the system and their interaction with the environment in the widest sense of this notion. In our view, the very existence of such structural and dynamic similarity gives rise to the possibility, in principle, of building formal, many-agent physical economic models by analogy with the theoretical models of the many-particle physical systems, for example, of polyatomic molecules. It is here that the physical economic model could include all basic concepts and principles which define the work of the economy. As a result, it could sufficiently, simply, and adequately describe both the main structural features and principal dynamic characteristics of the economy being modeled, a target at which this study is precisely aimed, since no model can immediately describe everything completely. The study of economic systems by means of physical modeling must be carried out gradually, step by step, incorporating into the model ever finer effects and properties in the way that theoretical physics has done over the course of theoretical studies of complex physical systems. Thus, physical economics borrows formal approaches and model structures from theoretical physics. In other words, physical economics uses the very body or framework of the theoretical models of the many-particle systems, but not the results of theoretical studies of the concrete real physical systems. Namely this is the essence of physical modeling of economic systems. In conclusion, the obvious structural and dynamic analogy of the many-agent economic systems with the many-particle physical systems is basic to the formulation of fundamentals of the method of the agent-based physical modeling of the many-agent market economic systems in the formal economic space, and eventually, of the five general principles of physical economics as well as probabilistic economic theory.
3. The Axioms and Principles of Physical Economics
Generally speaking, our attitude towards the problem of adequate quantitative description of the agent behavior in the market as well as market S&D and price formation is based on the two rather simple axioms of a very general character.
1. The Agent Identity Axiom.
All market agents are the same, only the supplies and demands they have different. The axiom says that all market agents share common properties, depending primarily on agent revenues and expenses, or more strictly, on supply and demand (S&D below) for traded goods and services. It is these agents’ S&D that mainly determine the rational economic behavior of agents on the markets, and eventually the behavior of the whole markets. It shows a possibility of building rather common and accurate models of behavior of agents in the market, and hence the total market as a whole. It sets us on the right track for the identification and examination of the common properties in the behavior of market agents that ensure appearance of the common patterns and regularities in the course of market processes. It gives us the ability to build theoretical economic models on a fairly high scientific level by using physical and mathematical methods, which is the primary goal of physical economics and economic theory in general. We are certain that only these types of common market phenomena and processes are rightly a matter for exact scientific economic enquiry. In other words, it focuses us on building economics as an exact science in the image and after the likeness of the natural sciences.
2. The Agent Distinction Axiom.
All market agents are distinguished. The second axiom works when the first axiom fails. Thus, it defines those areas and aspects of the agents’ behavior on the markets that are the subject of the studies of other sciences of more applied nature, such as marketing, behavioral science, managerial economics, psychology, policy, etc. In other words, these social sciences are concerned with the specific nuances and peculiarities in the behavior of concrete people, agents and communities in different markets and situations, etc.
Let us stress that in economics we do not study real people, but rather the real actions of these people on markets. The people can be different but market decisions and actions of these people can be the same, depending primarily on their supplies and demands on markets. It is this fact that lies in the background of the agent identity axiom.
Hence, we will sum up everything we have stated above in the form of the five general principles of physical economics and probabilistic economic theory as follows:
1. The Cooperation-Oriented Agent Principle.
The most important concept concerning markets is as follows: every market consists of market agents, buyers and sellers, all strongly interacting with each other. There are never any mysterious forces in markets. Everything that markets do, the cooperation-oriented market agents do, and therefore only the cooperation-oriented, agent-based models can provide the reasonable and justified foundation for any modern economic theory.
2. The Institutional and Environmental Principle.
Markets are never completely closed and free; all the market agents are under continuous influences and under such external institutional and environmental forces and factors as states, institutions, other markets and economies, natural and technogenic phenomena, etc. The influences, exerted by each of these forces and factors on the structure of market prices and on the market behavior, can be completely compared with the effect from inter-agent interactions. Moreover, the action of strong external institutional and environmental factors can significantly hamper the effective work of market mechanisms and even practically suppress it in a way that results in the breakdown of the market’s invisible hand concept, well-known in classical economics. Therefore, the influence of institutional, environmental and other external factors must be adequately taken into account in the models, as well as simultaneously with the inter-agent interactions.
3. The Dynamic and Evolutionary Principle.
Markets are complex dynamic systems; all the market agents are in perpetual motion in search of profitable deals with each other for the sale or purchase of goods. Buyers tend to buy as cheaply as possible, and sellers want to obtain the highest possible prices. Mathematically, we can describe this time-dependent dynamic and evolutionary market process as motion in the price – quantity economic space of market agents acting in accordance with objective economic laws. Therefore, this motion has a deterministic character to