In hmolscience, economic force is a physical force, intermediate in complexity between that of the chemical force (affinity) and the gravitational force (gravity), of some type of electromagnetic force composition, i.e. involving the exchange of photons between valence shell electrons, related to economic matters or the descriptive operation of the economy; something that moves an economic agent through unit distance, according to which work is done.

Overview
In 1801, Nicholas-Francois Canard, in his essay-turned-book Principles of Political Economy, gave his view that supply and demand are ontologically like contradicting physical forces; as summarized by Philip Mirowski (2004): [1]

“Canard wrote down an equation of forces which determined price under nonspecific circumstances. Here the sellers and buyers were accorded a single function each, which price as the shared variable; psychological need is identified as the ultimate source of each function; equilibrium is equated with the balance of forces. Unfortunately, all specification of the sequence of actions by which equilibrium is brought about is absent, in clear analogy with d’Alembert’s principle in mechanics.”

In the late 1850s, the Lausanne school of physical economics began to form, whose members include: Auguste Walras, Leon Walras, Vilfredo Pareto, Maffeo Pantaleoni, and Leon Winiarski, the general philosophical aim of which was to derive a rational mechanics like formulation of political economy; the following is one of the first dialogues in this direction:

“To create a scientific theory of economics one would need to use differential calculus to derive a ‘science of economic forces, analogous to the science of astronomical forces’.”
Auguste Walras (1858), comment to son Leon Walras, then aged 24, during walk [2]

In 1897, Vilfredo Pareto gave the following mechanical-to-sociology comparison table (see: human thermodynamic variables table), wherein he showed the jump from force as defined by rational mechanics to a conception of force defined by economic mechanics: [3]

Mechanical phenomenonSocial phenomenon
Given a certain number of solids, we study their relations of equilibrium and movement abstracted from the other properties. We obtain thus a study of mechanics.

The science of mechanics is divided into two others. If we consider inextensibly connected material points we obtain a pure science, rational mechanics, which studies in an abstract way the forces of equilibrium and movement. The easiest part of science is equilibrium. D’Alembert’s principle, considering the forces of inertia, enables the reduction of the dynamic problem to a static one.


From rational mechanics comes applied mechanics, which is a little closer to reality, considering elasticity, friction, etc.

Real solids not only have mechanical properties of the phenomena caused by light, electricity and heat. Chemistry studies other properties. Thermodynamics, like other sciences, studies some of these properties in detail. All these sciences constitute the physical-chemical sciences.
Given a society, we study the relations of production and wealth between men, abstracted from other circumstances. We obtain thus the study of political economy.

The science of political economy is divided into two others. If we consider the homo economicus who acts only as a result of economic forces, we obtain political economy, which studies in abstract terms ophelimity. The only part of this which is well known is static equilibrium. There may be a principle for economic systems analogous to D’Alembert’s, but at present our knowledge is very poor. The theory of economic crisis offers an example of dynamic study.

From pure political economy comes applied political economy, which does not consider solely homo economicus, but also other models of humankind closer to reality.

Men and women have other characteristics which are studies by other particular sciences, such as law, religion, aesthetics, the organization of society, and so on. Some of these have quite a high level of development, others on the contrary, have not. As a whole they constitute the social sciences.

In 1898, Leon Winiarski published his Essay on Social Mechanics, wherein he described “forces” in a sociological, political economy, and economic sense, generally via an attraction and repulsion sense of the matter; although, to note, he used the Clausius inequality, which indirectly assumed the principle of the transmission of work via force in its formulation.

In 1912, Pareto published his four-volume Treatise on General Sociology, the social Newton term analysis of which, in respect to force, is as follows:

Scientific terms
SciencesElements

Matter [301] (Ѻ):78+; (Ѻ):59+; (Ѻ):89+; (Ѻ):75+
Force [271] (Ѻ):54+; (Ѻ):46+; (Ѻ):83+; (Ѻ):88+
Energy [27] (Ѻ):1+; (Ѻ):4+; (Ѻ):3+; (Ѻ):19+
Heat [19] (Ѻ):2+; (Ѻ):7+; (Ѻ):3+; (Ѻ):7+
Molecule [7] (Ѻ):V4
Atom [5] (Ѻ):1+; (Ѻ):0+; (Ѻ):1+; (Ѻ):3+
Affinity [2] (Ѻ):1+; (Ѻ):0+; (Ѻ):1+; (Ѻ):0+
Entropy [1] (Ѻ):V4
Mechanics [42] (Ѻ):23+; (Ѻ):2+; (Ѻ):9+; (Ѻ):8+
Chemistry [40] (Ѻ):24+; (Ѻ):1+; (Ѻ):7+; (Ѻ):8+
Mathematics [32] (Ѻ):22+; (Ѻ):0+; (Ѻ):7+; (Ѻ):3+
Physics [26] (Ѻ):15+; (Ѻ):0+; (Ѻ):7+; (Ѻ):4+
Thermodynamics [6] (Ѻ):2+; (Ѻ):0+; (Ѻ):2+; (Ѻ):2+
Oxygen [5] (Ѻ):4+; (Ѻ):1+; (Ѻ):0+; (Ѻ):0+
Hydrogen [3] (Ѻ):V1

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In respect to the extent Pareto, in this publication, utilized "force" in an economic sense, that is a matter in need of investigation.

Quotes
The following are related quotes:

Economic force sets people in motion. We cannot observe this force. A human person's behaviour is a vector of different forces, of which the economic force is only one. A comparison with Newton's law of gravity is clarifying in this respect. Only if there is no counter-forces we can see an object fall to the ground. So, too, with the economic force; only if there are no other forces human behavior is fully determined by economic force. While in the physics laboratory experiments make the effect of a particular force observable, in economics there is no such thing as a laboratory.”
— Piet Keizer (2012), “Coordination and Communication”; an extension of Adam Smith like forces in an historical discussion (§3.2: From Moral Philosophy to Political Economy), according to which the “force” derives from the motivation of an economic subject to maximize their utility [4]

See also
Economic pressure
Social force
● Political force

References
1. (a) Canard, Nicholas-Francois. (1801). Principles of Political Economy, Work couronée by the National Institute (Principes d'Économie Politique, Ouvrage couronée par l'Institut National). Publisher.
(b) Savoiu, Gheorghe and Iorga-Siman, Ion. (2008). “Some Relevant Econophysics’ Moments of History, Definitions, Methods, Models and New Trends” (pdf), Romanian Economic and Business Review 3(3):29-41.
(c) Savoiu, Gheorghe and Andronache, Constantin. (2012). “The Potential of Econophysics for the Study of Economic Processes”, in: Econophysics: Background and Applications in Economics, Finance, and Sociophysics (§7, pg. 94). Academic Press.
(d) Mirowski, Philip. (2004). The Effortless Economy of Science? (pg. 287). Publisher.
2. Ingrao, B. and Israel, G. (1990). The Invisible Hand, (pgs. 87-88). Cambridge, MA: MIT Press.
3. (a) McLure, Michael. (2002). Pareto, Economics and Society: the Mechanical Analogy (molecules, pg. 124; molecule, 4+ pgs; comparison table, pg. 65-66). Routledge.
(b) Donzelli, Franco. (1997). “Pareto’s Mechanical Dream” (pdf) (comparison table, pgs.2-4), History of Economic Ideas, 3:127-78.
4. Keizer, Piet. (2012). “Coordination and Communication”, in: Coordination and Growth: Essays in Honour of Simon K. Kuipers (editors: Gerard H. Kuper, Elmer Sterken, Els Wester) (§4:55-; quote, pg. 61). Springer.

External links
Economic forces – Wikipedia.

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