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<article article-type="research-article" dtd-version="1.3" 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" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">voprecotest</journal-id><journal-title-group><journal-title xml:lang="ru">Вопросы экономики</journal-title><trans-title-group xml:lang="en"><trans-title>Voprosy Ekonomiki</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">0042-8736</issn><publisher><publisher-name>Voprosy Ekonomiki, NP</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.32609/0042-8736-2006-7-53-72</article-id><article-id custom-type="elpub" pub-id-type="custom">voprecotest-1759</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>ВОПРОСЫ ТЕОРИИ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>ISSUES OF THEORY</subject></subj-group></article-categories><title-group><article-title>Математика в экономической теории: исторический и методологический анализ</article-title><trans-title-group xml:lang="en"><trans-title>The Use of Mathematics in Economics</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Доу</surname><given-names>Ш.</given-names></name><name name-style="western" xml:lang="en"><surname>Dow</surname><given-names>S.</given-names></name></name-alternatives><bio xml:lang="ru"><p>профессор экономического факультета</p><p> </p></bio><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff xml:lang="ru" id="aff-1"><institution>университет Стирлинга</institution><country>United Kingdom</country></aff><pub-date pub-type="collection"><year>2006</year></pub-date><pub-date pub-type="epub"><day>20</day><month>07</month><year>2006</year></pub-date><volume>0</volume><issue>7</issue><fpage>53</fpage><lpage>72</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Voprosy Ekonomiki, NP, 2006</copyright-statement><copyright-year>2006</copyright-year><copyright-holder xml:lang="ru">Voprosy Ekonomiki, NP</copyright-holder><copyright-holder xml:lang="en">Voprosy Ekonomiki, NP</copyright-holder><license xlink:href="https://www.vopreco.ru/jour/about/submissions#copyrightNotice" xlink:type="simple"><license-p>https://www.vopreco.ru/jour/about/submissions#copyrightNotice</license-p></license></permissions><self-uri xlink:href="https://www.vopreco.ru/jour/article/view/1759">https://www.vopreco.ru/jour/article/view/1759</self-uri><abstract><p>В статье изложена история проникновения математических методов в экономическую науку, а также показано, как эти методы повлияли на структуру и факторы развития экономической теории. Автор рассматривает особенности применения математики в современных условиях, приводя некоторые примеры и анализируя теоретические и методологические проблемы, возникающие в процессе экономико-математических исследований.</p></abstract><trans-abstract xml:lang="en"><p>The article examines the history of mathematical methods in economic science and their impact on the structure and factors of development of the modern economic theory. The author considers different features of mathematical modeling in it, giving some examples and analyzing theoretical and methodological issues arising in the process of economic and mathematical research.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>математические методы</kwd><kwd>методология экономической науки</kwd></kwd-group><kwd-group xml:lang="en"><kwd>mathematical methods</kwd><kwd>economic methodology</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Пригожин И., Стенгерс И. Порядок из хаоса. Новый диалог человека с природой. М.: УРСС, 2003.</mixed-citation><mixed-citation xml:lang="en">Пригожин И., Стенгерс И. Порядок из хаоса. Новый диалог человека с природой. М.: УРСС, 2003.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Фридмен М. Методология позитивной экономической науки // THESIS. 1994. № 4. С. 20-52.</mixed-citation><mixed-citation xml:lang="en">Фридмен М. Методология позитивной экономической науки // THESIS. 1994. № 4. С. 20-52.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Aghion P., Howitt P. Endogenous Growth Theory. Cambridge, MA: MIT Press, 1998.</mixed-citation><mixed-citation xml:lang="en">Aghion P., Howitt P. Endogenous Growth Theory. Cambridge, MA: MIT Press, 1998.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Anderson P. W., Arrow K. J., Pines D. The Economy as an Evolving Complex System. Redwood City, CA: Addison-Wesley, 1988.</mixed-citation><mixed-citation xml:lang="en">Anderson P. W., Arrow K. J., Pines D. The Economy as an Evolving Complex System. Redwood City, CA: Addison-Wesley, 1988.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Arrow K. J., Hahn F. H. General Competitive Analysis. Edinburgh: Oliver &amp; Boyd, 1971.</mixed-citation><mixed-citation xml:lang="en">Arrow K. J., Hahn F. H. General Competitive Analysis. Edinburgh: Oliver &amp; Boyd, 1971.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Backhouse R. E. If Mathematics Is Informal, Then Perhaps We Should Accept That Economics Must Be Informal Too // Economic Journal. 1998. Vol. 108. No 451. P. 1848-1858.</mixed-citation><mixed-citation xml:lang="en">Backhouse R. E. If Mathematics Is Informal, Then Perhaps We Should Accept That Economics Must Be Informal Too // Economic Journal. 1998. Vol. 108. No 451. P. 1848-1858.</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Becker G. A Treatise on the Family. Cambridge, MA: Harvard University Press, 1991.</mixed-citation><mixed-citation xml:lang="en">Becker G. A Treatise on the Family. Cambridge, MA: Harvard University Press, 1991.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Chick V. On Knowing One's Place: the Role of Formalism in Economics // Economic Journal. 1998. Vol. 108. No 451. P. 1859-1869.</mixed-citation><mixed-citation xml:lang="en">Chick V. On Knowing One's Place: the Role of Formalism in Economics // Economic Journal. 1998. Vol. 108. No 451. P. 1859-1869.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Chick V. Order out of Chaos in Economics? Some Lessons from the Philosophy of Science // Dow S.C., Hillard J. (eds.) Keynes, Knowledge and Uncertainty. Aldershot: Edward Elgar, 1995.</mixed-citation><mixed-citation xml:lang="en">Chick V. Order out of Chaos in Economics? Some Lessons from the Philosophy of Science // Dow S.C., Hillard J. (eds.) Keynes, Knowledge and Uncertainty. Aldershot: Edward Elgar, 1995.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Chick V., Dow S. C. The Meaning of Open Systems // Journal of Economic Methodology. 2005. Vol. 12. No 3. P. 363-382.</mixed-citation><mixed-citation xml:lang="en">Chick V., Dow S. C. The Meaning of Open Systems // Journal of Economic Methodology. 2005. Vol. 12. No 3. P. 363-382.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Colander D. C., Klamer A. The Making of an Economist // Journal of Economic Perspectives. 1987. Vol. 1. No 2. P. 95-113.</mixed-citation><mixed-citation xml:lang="en">Colander D. C., Klamer A. The Making of an Economist // Journal of Economic Perspectives. 1987. Vol. 1. No 2. P. 95-113.</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Dow S. C. Keynes, the Post Keynesians and Methodology // Dow S. C., Hillard J. (eds.) Post Keynesian Econometrics, Microeconomics and the Theory of the Firm: Beyond Keynes. Vol. I. Cheltenham: Edward Elgar, 2002.</mixed-citation><mixed-citation xml:lang="en">Dow S. C. Keynes, the Post Keynesians and Methodology // Dow S. C., Hillard J. (eds.) Post Keynesian Econometrics, Microeconomics and the Theory of the Firm: Beyond Keynes. Vol. I. Cheltenham: Edward Elgar, 2002.</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Dow S. C. The Appeal of Neo-classical Economics // Cambridge Journal of Economics. 1995. Vol. 6. No 19. P. 715-735.</mixed-citation><mixed-citation xml:lang="en">Dow S. C. The Appeal of Neo-classical Economics // Cambridge Journal of Economics. 1995. Vol. 6. No 19. P. 715-735.</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Drakopoulos S. Values and Economic Theory. Aldershot: Avebury, 1991.</mixed-citation><mixed-citation xml:lang="en">Drakopoulos S. Values and Economic Theory. Aldershot: Avebury, 1991.</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Economic Models at the Bank of England / Bank of England. L., 1999.</mixed-citation><mixed-citation xml:lang="en">Economic Models at the Bank of England / Bank of England. L., 1999.</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Grubel H. G., Boland L. A. On the Effective Use of Mathematics in Economics // Kyklos. 1986. Vol. 39. No 3. P. 419-442.</mixed-citation><mixed-citation xml:lang="en">Grubel H. G., Boland L. A. On the Effective Use of Mathematics in Economics // Kyklos. 1986. Vol. 39. No 3. P. 419-442.</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Hahn F. H. On the Notion of Equilibrium in Economics. Cambridge: Cambridge University Press, 1973.</mixed-citation><mixed-citation xml:lang="en">Hahn F. H. On the Notion of Equilibrium in Economics. Cambridge: Cambridge University Press, 1973.</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Hahn F. H. Robinson-Hahn Love-Hate Relationship: An Interview // Feiwel G. R. (ed.) Joan Robinson and Modern Economic Theory. London: Macmillan, 1989.</mixed-citation><mixed-citation xml:lang="en">Hahn F. H. Robinson-Hahn Love-Hate Relationship: An Interview // Feiwel G. R. (ed.) Joan Robinson and Modern Economic Theory. London: Macmillan, 1989.</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Hansen W. L. The Education and Training of Economics Doctorates // Journal of Economic Literature.1991. Vol. 29. No 1. P. 1054-1087.</mixed-citation><mixed-citation xml:lang="en">Hansen W. L. The Education and Training of Economics Doctorates // Journal of Economic Literature.1991. Vol. 29. No 1. P. 1054-1087.</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">Hausman D. The Inexact and Separate Science of Economics. Cambridge: Cambridge University Press, 1992.</mixed-citation><mixed-citation xml:lang="en">Hausman D. The Inexact and Separate Science of Economics. Cambridge: Cambridge University Press, 1992.</mixed-citation></citation-alternatives></ref><ref id="cit21"><label>21</label><citation-alternatives><mixed-citation xml:lang="ru">Hendry D. F. Econometrics: Alchemy or Science? 2nd Edition. Oxford: Oxford University Press, 2001.</mixed-citation><mixed-citation xml:lang="en">Hendry D. F. Econometrics: Alchemy or Science? 2nd Edition. Oxford: Oxford University Press, 2001.</mixed-citation></citation-alternatives></ref><ref id="cit22"><label>22</label><citation-alternatives><mixed-citation xml:lang="ru">Jevons W. S. The Theory of Political Economy. London: Macmillan, 1871.</mixed-citation><mixed-citation xml:lang="en">Jevons W. S. The Theory of Political Economy. London: Macmillan, 1871.</mixed-citation></citation-alternatives></ref><ref id="cit23"><label>23</label><citation-alternatives><mixed-citation xml:lang="ru">Kasper H. et al. The Education of Economists: From Undergraduate to Graduate Study // Journal of Economic Literature. 1991. Vol. 29. No 3. P. 1088-1109.</mixed-citation><mixed-citation xml:lang="en">Kasper H. et al. The Education of Economists: From Undergraduate to Graduate Study // Journal of Economic Literature. 1991. Vol. 29. No 3. P. 1088-1109.</mixed-citation></citation-alternatives></ref><ref id="cit24"><label>24</label><citation-alternatives><mixed-citation xml:lang="ru">Keynes J. M. A Treatise on Probability. Collected Writings. Vol. VIII. London: Macmillan, for the Royal Economic Society. 1973.</mixed-citation><mixed-citation xml:lang="en">Keynes J. M. A Treatise on Probability. Collected Writings. Vol. VIII. London: Macmillan, for the Royal Economic Society. 1973.</mixed-citation></citation-alternatives></ref><ref id="cit25"><label>25</label><citation-alternatives><mixed-citation xml:lang="ru">Krueger A. O. et al. Report of the Commission on Graduate Education in Economics // Journal of Economic Literature. 1991. Vol. 29. No 3. P. 1035-1053.</mixed-citation><mixed-citation xml:lang="en">Krueger A. O. et al. Report of the Commission on Graduate Education in Economics // Journal of Economic Literature. 1991. Vol. 29. No 3. P. 1035-1053.</mixed-citation></citation-alternatives></ref><ref id="cit26"><label>26</label><citation-alternatives><mixed-citation xml:lang="ru">Krugman P. Two Cheers for Formalism // Economic Journal. 1998. Vol. 108. No 451. P. 1829-1836.</mixed-citation><mixed-citation xml:lang="en">Krugman P. Two Cheers for Formalism // Economic Journal. 1998. Vol. 108. No 451. P. 1829-1836.</mixed-citation></citation-alternatives></ref><ref id="cit27"><label>27</label><citation-alternatives><mixed-citation xml:lang="ru">Lawson T. Economics and Reality. London: Routledge, 1997.</mixed-citation><mixed-citation xml:lang="en">Lawson T. Economics and Reality. London: Routledge, 1997.</mixed-citation></citation-alternatives></ref><ref id="cit28"><label>28</label><citation-alternatives><mixed-citation xml:lang="ru">Lucas R. E. Jr. Methods and Problems in Business Cycle Theory // Journal of Money, Credit and Banking. 1980. No 12. P. 696-715.</mixed-citation><mixed-citation xml:lang="en">Lucas R. E. Jr. Methods and Problems in Business Cycle Theory // Journal of Money, Credit and Banking. 1980. No 12. P. 696-715.</mixed-citation></citation-alternatives></ref><ref id="cit29"><label>29</label><citation-alternatives><mixed-citation xml:lang="ru">Lucas R. E. Jr. On the Mechanics of Economic Development // Journal of Monetary Economics. 1988. Vol. 22. No 1. P. 3-42.</mixed-citation><mixed-citation xml:lang="en">Lucas R. E. Jr. On the Mechanics of Economic Development // Journal of Monetary Economics. 1988. Vol. 22. No 1. P. 3-42.</mixed-citation></citation-alternatives></ref><ref id="cit30"><label>30</label><citation-alternatives><mixed-citation xml:lang="ru">Mayer T. Truth versus Precision in Economics. Aldershot: Edward Elgar. 1993.</mixed-citation><mixed-citation xml:lang="en">Mayer T. Truth versus Precision in Economics. Aldershot: Edward Elgar. 1993.</mixed-citation></citation-alternatives></ref><ref id="cit31"><label>31</label><citation-alternatives><mixed-citation xml:lang="ru">McCloskey D. N. Rhetoric and Persuasion in Economics. Brighton: Wheatsheaf, 1994.</mixed-citation><mixed-citation xml:lang="en">McCloskey D. N. Rhetoric and Persuasion in Economics. Brighton: Wheatsheaf, 1994.</mixed-citation></citation-alternatives></ref><ref id="cit32"><label>32</label><citation-alternatives><mixed-citation xml:lang="ru">McCloskey D. N. The Rhetoric of Economics // Journal of Economic Literature. 1983. Vol. 21. No 2. P. 481-517.</mixed-citation><mixed-citation xml:lang="en">McCloskey D. N. The Rhetoric of Economics // Journal of Economic Literature. 1983. Vol. 21. No 2. P. 481-517.</mixed-citation></citation-alternatives></ref><ref id="cit33"><label>33</label><citation-alternatives><mixed-citation xml:lang="ru">Mincer J. Schooling, Experience, and Earnings. NY and London: Columbia University Press for NBER, 1974.</mixed-citation><mixed-citation xml:lang="en">Mincer J. Schooling, Experience, and Earnings. NY and London: Columbia University Press for NBER, 1974.</mixed-citation></citation-alternatives></ref><ref id="cit34"><label>34</label><citation-alternatives><mixed-citation xml:lang="ru">Mirowski P. More Heat than Light: Economics as Social Physics. Physics as Nature's Economics. Cambridge: Cambridge University Press, 1989.</mixed-citation><mixed-citation xml:lang="en">Mirowski P. More Heat than Light: Economics as Social Physics. Physics as Nature's Economics. Cambridge: Cambridge University Press, 1989.</mixed-citation></citation-alternatives></ref><ref id="cit35"><label>35</label><citation-alternatives><mixed-citation xml:lang="ru">Mirowski P. The When, the How and the Why of Mathematical Expression in the History of Economic Analysis // Journal of Economic Perspectives. 1991. Vol. 5. No 1. P. 145-158.</mixed-citation><mixed-citation xml:lang="en">Mirowski P. The When, the How and the Why of Mathematical Expression in the History of Economic Analysis // Journal of Economic Perspectives. 1991. Vol. 5. No 1. P. 145-158.</mixed-citation></citation-alternatives></ref><ref id="cit36"><label>36</label><citation-alternatives><mixed-citation xml:lang="ru">Mirowski P. The When, the How and the Why of Mathematical Expression in the History of Economic Analysis.</mixed-citation><mixed-citation xml:lang="en">Mirowski P. The When, the How and the Why of Mathematical Expression in the History of Economic Analysis.</mixed-citation></citation-alternatives></ref><ref id="cit37"><label>37</label><citation-alternatives><mixed-citation xml:lang="ru">O'Donnell R. M. Keynes's Philosophy, Economics and Politics. London: Macmillan, 1989.</mixed-citation><mixed-citation xml:lang="en">O'Donnell R. M. Keynes's Philosophy, Economics and Politics. London: Macmillan, 1989.</mixed-citation></citation-alternatives></ref><ref id="cit38"><label>38</label><citation-alternatives><mixed-citation xml:lang="ru">Solow R.M. Perspectives in Growth Theory // Journal of Economic Perspectives. 1994. Vol. 8. No 1. P. 45-54.</mixed-citation><mixed-citation xml:lang="en">Solow R.M. Perspectives in Growth Theory // Journal of Economic Perspectives. 1994. Vol. 8. No 1. P. 45-54.</mixed-citation></citation-alternatives></ref><ref id="cit39"><label>39</label><citation-alternatives><mixed-citation xml:lang="ru">Tennant N. Anti-realism and Logic: Truth as Eternal. Oxford: Clarendon, 1987.</mixed-citation><mixed-citation xml:lang="en">Tennant N. Anti-realism and Logic: Truth as Eternal. Oxford: Clarendon, 1987.</mixed-citation></citation-alternatives></ref><ref id="cit40"><label>40</label><citation-alternatives><mixed-citation xml:lang="ru">Weintraub R. E. How Economics Became a Mathematical Science. Durham, NC: Duke University Press. 2002.</mixed-citation><mixed-citation xml:lang="en">Weintraub R. E. How Economics Became a Mathematical Science. Durham, NC: Duke University Press. 2002.</mixed-citation></citation-alternatives></ref><ref id="cit41"><label>41</label><citation-alternatives><mixed-citation xml:lang="ru">Whitley J. Economic Models and Policy-Making // Bank of England Quarterly Bulletin. 1997. Vol. 37. No 2. P. 163-171.</mixed-citation><mixed-citation xml:lang="en">Whitley J. Economic Models and Policy-Making // Bank of England Quarterly Bulletin. 1997. Vol. 37. No 2. P. 163-171.</mixed-citation></citation-alternatives></ref><ref id="cit42"><label>42</label><citation-alternatives><mixed-citation xml:lang="ru">Willis R. J. Wage Determinants: A Survey and Reinterpretation of Human Capital Earnings Functions // Ashenfelter O., Layard R. (eds.) Handbook of Labor Economics. Vol. 1. Amsterdam: Elsevier, 1986.</mixed-citation><mixed-citation xml:lang="en">Willis R. J. Wage Determinants: A Survey and Reinterpretation of Human Capital Earnings Functions // Ashenfelter O., Layard R. (eds.) Handbook of Labor Economics. Vol. 1. Amsterdam: Elsevier, 1986.</mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
