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PORTFOLIO CHOICE AND THE KELLY CRITERION<br />

20. SAMUELSON, P. A., "Risk and Uncertainty: A Fallacy of Large Numbers." Scienta<br />

(Milan) 57 (1963), 153-158.<br />

21. SAMUELSON, P. A., "Lifetime Portfolio Selection by Dynamic Stochastic Programming."<br />

Review of Economics and Statistics 51 (1969), 239-246.<br />

22. SAMUELSON, P. A., "The 'Fallacy' of Maximizing the Geometric Mean in Long Sequences<br />

of Investing or Gambling." Proceedings of the National Academy of Sciences of the<br />

United States 68 (1971), 2493-2496.<br />

23. SCHROCK, N. W., "The Theory of Asset Choice: Simultaneous Holding of Short and<br />

Long Positions in the Futures Market." Journal of Political Economy 79: 2 (1971),<br />

270-293.<br />

24. SHELTON, J. P., "The Relation of the Price of a Warrant to its Associated Common<br />

Stock." Financial Analysts Journam: 3 (1967), 143-151; 23: 4 (1967), 88-99.<br />

25. THORP, E., "A Winning Bet in Nevada Baccarat." Journal of the American Statistical<br />

Association 61 Pt. I (1966), 313-328.<br />

26. THORP, E., "Optimal Gambling Systems for Favorable Games." Review of the International<br />

Statistical Institute 37: 3 (1969), 273-293.<br />

27. THORP, E., and KASSOUF, S., Beat the Market. Random House, New York, 1967.<br />

27a. THORP, E., and WHITLEY, R. J., "Concave Utilities are Distinguished for Their Optimal<br />

Strategies." Colloquia Mathematica Societatis Janos Bolyai 9. European Meeting of<br />

Statisticians, Budapest (Hungary), 1972, in press.<br />

28. TODHUNTER, I., A History of the Mathematical Theory of Probability, 1st edition.<br />

Cambridge, 1865, as reprinted by Chelsea, New York, 1965. (See pp. 213 ff. for details<br />

on Daniel Bernoulli's use of logarithmic utility.)<br />

29. WAGNER, H. M., Principles of Operations Research, with Application to Managerial<br />

Decisions. Prentice-Hall, Englewood Cliffs, New Jersey, 1969.<br />

30. WILLIAMS, J. B., "Speculation and the Carryover." Quarterly Journal of Economics 50<br />

(1936), 436-455.<br />

4. THE CAPITAL GROWTH CRITERION AND CONTINUOUS-TIME MODELS 619

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