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<article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:ali="http://www.niso.org/schemas/ali/1.0/" article-type="research-article" dtd-version="1.2" xml:lang="en"><front><journal-meta><journal-id journal-id-type="publisher-id">Economics and Mathematical Methods</journal-id><journal-title-group><journal-title xml:lang="en">Economics and Mathematical Methods</journal-title><trans-title-group xml:lang="ru"><trans-title>Экономика и математические методы</trans-title></trans-title-group></journal-title-group><issn publication-format="print">0424-7388</issn><issn publication-format="electronic">3034-6177</issn><publisher><publisher-name xml:lang="en">The Russian Academy of Sciences</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="publisher-id">653337</article-id><article-id pub-id-type="doi">10.31857/S042473880025858-2</article-id><article-categories><subj-group subj-group-type="toc-heading" xml:lang="en"><subject>Articles</subject></subj-group><subj-group subj-group-type="toc-heading" xml:lang="ru"><subject>Статьи</subject></subj-group><subj-group subj-group-type="article-type"><subject>Research Article</subject></subj-group></article-categories><title-group><article-title xml:lang="en">Аnalysis of marginalism. Part 1</article-title><trans-title-group xml:lang="ru"><trans-title>Анализ маржинализма. Часть 1</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><name><surname>Wu</surname><given-names>Jie</given-names></name><email>jw@gzmss.com</email><xref ref-type="aff" rid="aff1"/><xref ref-type="aff" rid="aff2"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Makarov</surname><given-names>Valery Leonidovich</given-names></name><name xml:lang="ru"><surname>Макаров</surname><given-names>Валерий Леонидович</given-names></name></name-alternatives><email>makarov@cemi.rssi.ru</email><xref ref-type="aff" rid="aff3"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Bakhtizin</surname><given-names>Albert Raufovich</given-names></name><name xml:lang="ru"><surname>Бахтизин</surname><given-names>Альберт Рауфович</given-names></name></name-alternatives><email>albert.bakhtizin@gmail.com</email><xref ref-type="aff" rid="aff4"/></contrib><contrib contrib-type="author"><name><surname>Wu</surname><given-names>Zili</given-names></name><email>wzl@gzmss.com</email><xref ref-type="aff" rid="aff1"/><xref ref-type="aff" rid="aff2"/></contrib></contrib-group><aff id="aff1"><institution>Guangzhou Milestone Software Co., Ltd.</institution></aff><aff id="aff2"><institution>National Simulation and Control Engineering Technology Research Center</institution></aff><aff-alternatives id="aff3"><aff><institution xml:lang="en">Scientific Director of the Central Economics and Mathematics Institute of the Russian Academy of Sciences</institution></aff><aff><institution xml:lang="ru">Научный руководитель Центрального экономико-математического института Российской академии наук</institution></aff></aff-alternatives><aff-alternatives id="aff4"><aff><institution xml:lang="en">Central economic and mathematical Institute of the Russian Academy of Sciences</institution></aff><aff><institution xml:lang="ru">Центральный экономико-математический институт Российской академии наук</institution></aff></aff-alternatives><pub-date date-type="pub" iso-8601-date="2023-06-15" publication-format="electronic"><day>15</day><month>06</month><year>2023</year></pub-date><volume>59</volume><issue>2</issue><issue-title xml:lang="en">VOL 59, NO2 (2023)</issue-title><issue-title xml:lang="ru">ТОМ 59, №2 (2023)</issue-title><fpage>5</fpage><lpage>18</lpage><history><date date-type="received" iso-8601-date="2025-02-03"><day>03</day><month>02</month><year>2025</year></date></history><permissions><copyright-statement xml:lang="en">Copyright ©; 2023, Russian Academy of Sciences</copyright-statement><copyright-statement xml:lang="ru">Copyright ©; 2023, Российская академия наук</copyright-statement><copyright-year>2023</copyright-year><copyright-holder xml:lang="en">Russian Academy of Sciences</copyright-holder><copyright-holder xml:lang="ru">Российская академия наук</copyright-holder></permissions><self-uri xlink:href="https://journals.eco-vector.com/0424-7388/article/view/653337">https://journals.eco-vector.com/0424-7388/article/view/653337</self-uri><abstract xml:lang="en"><p>In recent years, based on the traditional theory of value — the labor theory of value and the theory of surplus value, as well as the hypothesis of Jevons, Tesla and Foley, — Chinese and Russian scholars have further adopted the mathematical paradigm of theoretical mechanics for reference to establish a mathematical model system for economics, which is called the new theory of value. Compatible with the traditional theory of value, the new theory of value puts forwardthat the value depends on the force of labor expended in the process of commodity production. While the value appreciation depends on the labor gravitational force generated by the improving dexterity of workmen. That is to say, during the process of production, constant capital and variable capital as kinetic energy and potential energy of value, convert into each other under the value conservation theorem, playing a dominate role in generating value and surplus value of products. In addition, the law of diminishing marginal utility is not an axiom, but a special economic law under unbalanced supply and demand. Obviously, these theoretical conclusions are of great significance, which not only make the traditional theory of value a self-consistent logical system, but also complete the new theory of value by absorbing the rational components from both the classical economics based on the labor theory of value and the theory of surplus value, and neoclassical economics based on the law of diminishing marginal utility. In this paper, we will analyze this problem by investigating the origin of the law of diminishing marginal utility.</p></abstract><trans-abstract xml:lang="ru"><p>В последние годы, китайские и российские ученые, сохраняя в качестве основы традиционную теорию стоимости, — трудовую теории стоимости и теорию прибавочной стоимости, а также гипотезу Джевонса, Теслы и Фоули — использовали математическую парадигму теоретической механики для создания системы математических моделей экономики, которую назвали новой теорией стоимости. Совместимая с традиционной теорией, новая теория стоимости выдвигает идею о том, что потребляемая в процессе производства рабочая сила определяет стоимость товара, а сила притяжения рабочей силы определяет оценку ее самой. В тоже время оценка стоимости зависит от гравитационной силы, созданной путем усовершенствования навыков работников. В процессе производства постоянный и переменный виды капитала и потенциальная энергия стоимости, переходящая одна в другую, согласно теореме преобразования стоимости, играет ведущую роль в создании стоимости и прибавочной стоимости. Кроме того, закон убывающей предельной полезности не является аксиомой, а специальным экономическим законом при дисбалансе спроса и предложения. Эти теоретические положения имеют большое значение, поскольку превращают традиционную теорию стоимости в самодостаточную логическую систему в виде новой теории стоимости, которая вобрала рациональные элементы как из классической экономики, основанной на трудовой теории стоимости, и теории прибавочной стоимости, так и из неоклассической экономики с ее законом убывающей предельной полезности. В первой части статьи мы обращаемся к этой проблематике, исследуя происхождение закона убывающей предельной полезности.</p></trans-abstract><kwd-group xml:lang="en"><kwd>new theory of value</kwd><kwd>force of labor</kwd><kwd>labor gravitational force</kwd><kwd>law of value equilibrium</kwd><kwd>law of diminishing marginal utility</kwd><kwd>self-consistency.</kwd></kwd-group><kwd-group xml:lang="ru"><kwd>новая теория стоимости</kwd><kwd>рабочая сила</kwd><kwd>гравитационный параметр рабочей силы</kwd><kwd>закон равновесия стоимости</kwd><kwd>закон убывающей маржинальной полезности</kwd><kwd>непротиворечивость</kwd></kwd-group><funding-group/></article-meta></front><body></body><back><ref-list><ref id="B1"><label>1.</label><mixed-citation>﻿Arrow K.J. (1951). Social choice and individual values. 2nd ed. N.Y.: John Wiley &amp; Sons.</mixed-citation></ref><ref id="B2"><label>2.</label><mixed-citation>Arrow K.J., Debreu G. (1954). Existence of an equilibrium for a competitive economy. 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