Harry Markowitz

  • John B. GuerardJr
Part of the International Series in Operations Research & Management Science book series (ISOR, volume 147)


A few researchers, as aresult of their training, experiences, and possibly, their inherent curiosity, work in a number of somewhat unrelated fields and discover seminal and far-reaching results in each of those fields. Harry Markowitz has proved to be such a researcher. He has made major contributions to diverse areas of Operations Research (OR), as well as to the fields of economics and finance. His research contributions in the latter fields include the theory and practice of financial investments and stock portfolios, and applying this research to the money-on-the-line real-world of investments. His OR contributions range across the theory and application of linear programming (LP), quadratic programming, computer simulation, and OR modeling.


Nobel Prize Portfolio Selection Efficient Frontier Sharpe Ratio Portfolio Selection Problem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


  1. Bloch M. Guerard J Jr, Markowitz H, Todd P, Xu GL (1993) A comparison of some aspects of the U.S. and Japanese equity markets. Jpn World Econ 5(1):3–26CrossRefGoogle Scholar
  2. Brealey R (1991) Harry M. Markowitz’s contribution to financial economics. Scand J Econ 93(1):7–17CrossRefGoogle Scholar
  3. Dantzig G (1951) Maximization of a linear function of variables subject to linear inequalities. In: Koopmans TC (ed) Activity analysis of production and allocation: proceedings of a conference. Wiley, New York, NY, pp 339–347Google Scholar
  4. Dantzig G, Orden A, Wolfe P (1954) The generalized simplex method for minimizing a linear form under linear inequality constraints. RAND Corporation Report RM-1264, Santa Monica, CAGoogle Scholar
  5. EAS-E.ORG (2009) www.eas-e.org. Accessed 3 Feb 2009
  6. Frank M, Wolfe P (1956) An algorithm for quadratic programming. Nav Res Logistics Q 3(1 and 2):95–110CrossRefGoogle Scholar
  7. Graham B, Dodd D (1934) Security analysis: principles and technique. McGraw-Hill, New York, NYGoogle Scholar
  8. Jacobs B, Levy K, Markowitz HM (2004) Financial market simulation in the 21st century. J Portfolio Manage 30 (30th anniversary issue):142–151CrossRefGoogle Scholar
  9. Johnson L (1986) Oral history of Harry M. Markowitz. Computer History Museum. CHM Reference number X4804.2008, Mountain View, CA. http://archive.computerhistory.org/resources/text/Oral_History/Markowitz_Harry/102658332.05.01.acc.pdf. Accessed 14 Mar 2009Google Scholar
  10. Lemke C (1965) Bimatrix equilibrium points and mathematical programming. Manage Sci 11(7):681–689CrossRefGoogle Scholar
  11. Malhotra A, Markowitz HM, Pazel DP (1984) EAS-E: an integrated approach to application development. ACM Trans Database Syst 8(4):515–542CrossRefGoogle Scholar
  12. Manne A, Markowitz HM (1963) Studies in process analysis: economy-wide production capabilities. Wiley, New York, NYGoogle Scholar
  13. Markowitz HM (1952a) Portfolio selection. J Finance 7(1):77–91CrossRefGoogle Scholar
  14. Markowitz HM (1952b) The utility of wealth. J Pol Economy 60(2):151–158CrossRefGoogle Scholar
  15. Markowitz HM (1956) The optimization of a quadratic function subject to linear constraints. Nav Res Logistics Q 3(1 and 2):111–133CrossRefGoogle Scholar
  16. Markowitz HM (1957) The elimination form of the inverse and its application to linear programming. Manage Sci 3(3):255–269CrossRefGoogle Scholar
  17. Markowitz HM (1959) Portfolio selection: efficient diversification of investments. Cowles Foundation for Research in Economics Monograph 16, Yale University, New Haven, CTGoogle Scholar
  18. Markowitz HM (1970) Portfolio selection: efficient diversification of investments. Wiley, New York, NYGoogle Scholar
  19. Markowitz HM (1987) Mean-variance analysis in portfolio choice and capital markets. Basil Blackwell, New York, NYGoogle Scholar
  20. Markowitz HM (1990) Autobiography. http://nobelprize.org/nobel_prizes/economics/laureates/1990/markowitz-autobio.html. Accessed 29 Jan 2009
  21. Markowitz HM (1991) Foundations of portfolio theory. J Finance 46(2):469–477CrossRefGoogle Scholar
  22. Markowitz HM (1993) Trains of thought. Am Econ 37(1):3–9Google Scholar
  23. Markowitz HM (1999) The early history of portfolio theory: 1600–1960. Financ Anal J 55(4):5–16CrossRefGoogle Scholar
  24. Markowitz HM (2002) Efficient portfolios, sparse matrices, and entities: a retrospective. Oper Res 50(1):154–160CrossRefGoogle Scholar
  25. Markowitz HM (2008) Harry Markowitz: selected works. World Scientific, Hackensack, NJGoogle Scholar
  26. Markowitz HM (2009) Personal communicationGoogle Scholar
  27. Markowitz HM, Hausner B, Karr H (1963) SIMSCRIPT: a simulation programming language. Prentice-Hall, Englewood Cliffs, NJGoogle Scholar
  28. Markowitz HM, Kiviat P, Villanueva R (1969) The SIMSCRIPT II programming language. Prentice Hall, New York, NYGoogle Scholar
  29. Orchard-Hays W (1984) History of mathematical programming systems. Ann Hist Comput 6(3):296–312CrossRefGoogle Scholar
  30. Rubinstein M (2002) Markowitz’s “Portfolio Selection”: a fifty-year retrospective. J Finance 57(3):1041–1045CrossRefGoogle Scholar
  31. Sharpe W (1963) A simplified model for portfolio analysis. Manage Sci 9(2):277–293CrossRefGoogle Scholar
  32. Sharpe W (1964) Capital asset prices: a theory of market equilibrium under conditions of risk. J Finance 19(3):425–442CrossRefGoogle Scholar
  33. Sharpe W (1994) The Sharpe Ratio. J Portfolio Manage 21(1):49–58CrossRefGoogle Scholar
  34. Williams J (1938) The theory of investment value. Harvard University Press, Cambridge, MAGoogle Scholar
  35. Yost J (2002) An interview with Harry Markowitz. http://special.lib.umn.edu/cbi/oh/pdf.phtml?id=297. Accessed 29 Jan 2009

Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  • John B. GuerardJr
    • 1
  1. 1.McKinley Capital ManagementAnchorageUSA

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