Asset market games of survival: a synthesis of evolutionary and dynamic games
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Algoet, P.H., Cover, T.M.: Asymptotic optimality and asymptotic equipartition properties of log-optimum investment. Ann Probab 16, 876–898 (1988)
Amir, R., Evstigneev, I.V., Hens, T., Schenk-Hoppé, K.R.: Market selection and survival of investment strategies. J Math Econ 41, 105–122 (2005)
Amir, R., Evstigneev, I.V., Hens, T., Xu, L.: Evolutionary finance and dynamic games. Math Financ Econ 5, 161–184 (2011)
Arkin, V.I., Evstigneev, I.V.: Stochastic Models of Control and Economic Dynamics. London: Academic Press (1987)
Bell, R.M., Cover, T.M.: Competitive optimality of logarithmic investment. Math Oper Res 5, 161–166 (1980)
Bertsekas, D.P., Shreve, S.E.: Stochastic Optimal Control: The Discrete Time Case. New York: Academic Press (1978)
Blume, L., Easley, D.: If you are so smart, why aren’t you rich? Belief selection in complete and incomplete markets. Econometrica 74, 929–966 (2006)
Blume, L., Easley, D.: Market selection and asset pricing. In: Hens, T., Schenk-Hoppé, K.R. (eds.) Handbook of Financial Markets: Dynamics and Evolution, chap. 7, pp. 403–437. Amsterdam: North-Holland (2009)
Borel, E.: La théorie du jeu et les équations intégrales à noyau symétrique. CR Hebd Acad Sci 173, 1304–1308 (1921). English translation: Borel, E.: The theory of play and integral equations with skew symmetric kernels. Econometrica 21, 97–100 (1953)
Borovkov, A.A.: Mathematical Statistics. Amsterdam: Gordon and Breach (1998)
Boulding, K.E.: Evolutionary Economics. London: Sage (1981)
Breiman, L.: Optimal gambling systems for favorable games. In: Neyman, J. (ed.) Fourth Berkeley Symposium on Mathematical Statistics and Probability. Contributions to the Theory of Statistics, vol. 1, pp. 65–78. Berkeley: University of California Press (1961)
Dorfman, R., Samuelson, P.A., Solow, R.M.: Linear Programming and Economic Analysis. New York: McGraw-Hill (1958)
Dynkin, E.B.: Game variant of a problem on optimal stopping. Sov Math Dokl 10, 270–274 (1969)
Dynkin, E.B., Yushkevich, A.A.: Controlled Markov Processes and Their Applications. New York: Springer (1979)
Dubins, L., Savage, L.M.: How to Gamble if You Must. New York: McGraw-Hill (1965)
Evstigneev, I.V., Hens, T., Schenk-Hoppé, K.R.: Market selection of financial trading strategies: global stability. Math Financ 12, 329–339 (2002)
Evstigneev, I.V., Hens, T., Schenk-Hoppé, K.R.: Evolutionary stable stock markets. Econ Theor 27, 449–468 (2006)
Evstigneev, I.V., Hens, T., Schenk-Hoppé, K.R.: Globally evolutionarily stable portfolio rules. J Econ Theory 140, 197–228 (2008)
Evstigneev, I.V., Hens, T., Schenk-Hoppé, K.R.: Evolutionary finance. In: Hens, T., Schenk-Hoppé, K.R. (eds.) Handbook of Financial Markets: Dynamics and Evolution, chap. 9, pp. 507–566. Amsterdam: North-Holland (2009)
Fudenberg, D., Harris, C.: Evolutionary dynamics with aggregate shocks. J Econ Theory 57, 420–441 (1992)
Gale, D., Stewart, F.M.: Infinite games with perfect information. In: Kuhn, H.W., Tucker, A.W. (eds.) Contributions to the Theory of Games II, Annals of Mathematical Studies, vol. 28, pp. 245–266. Princeton: Princeton University Press (1953)
Germano, F.: Stochastic evolution of rules for playing finite normal form games. Theor Decis 62, 311–333 (2007)
Grandmont, J.-M. (ed.): Temporary Equilibrium. Academic Press, San Diego (1988)
Hakansson, N.H., Ziemba, W.T.: Capital growth theory. In: Jarrow, R.A., Maksimovic, V., Ziemba, W.T. (eds.) Handbooks in Operations Research and Management Science, vol. 9, pp. 65–86. Finance, chap. 3. Amsterdam: Elsevier (1995)
Haurie, A., Zaccour, G., Smeers, Y.: Stochastic equilibrium programming for dynamic oligopolistic markets. J Optim Theory Appl 66, 243–253 (1990)
Hodgeson, G.M.: Economics and Evolution: Bringing Life Back into Economics. Ann Arbor: University of Michigan Press (1993)
Hofbauer, J., Sigmund, K.: Evolutionary Games and Population Dynamics. Cambridge: Cambridge University Press (1998)
Karni, E., Schmeidler, D.: Self-preservation as a foundation of rational behavior under risk. J Econ Behav Organ 7, 71–81 (1986)
Kojima, F.: Stability and instability of the unbeatable strategy in dynamic processes. Int J Econ Theory 2, 41–53 (2006)
Luce R.D., Raiffa H.: Games and Decisions, 2nd edn. New York: Dover (1989)
MacLean, L.C., Thorp, E.O., Ziemba, W.T. (eds.): The Kelly Capital Growth Investment Criterion: Theory and Practice. Singapore: World Scientific (2011)
Magill, M., Quinzii, M.: Theory of Incomplete Markets. Cambridge: MIT Press (1996)
Maynard, Smith J.: Evolution and the Theory of Games. Cambridge: Cambridge University Press (1982)
McKenzie, L.W.: Optimal economic growth turnpike theorems and comparative dynamics. In: Arrow, K.J., Intrilligator, M.D. (eds.) Handbook of Mathematical Economics III, pp. 1281–1355. Amsterdam: North-Holland (1986)
Milnor, J., Shapley, L.S.: On games of survival. In: Dresher, M., Tucker, A.W., Wolfe, P. (eds.) Contributions to the Theory of Games III, Annals of Mathematical Studies, vol. 39, pp. 15–45. Princeton: Princeton University Press (1957)
Myerson, R.B.: Game Theory: Analysis of Conflict. Harvard University Press, Cambridge (1991)
Nelson, R.R., Winter, S.G.: An Evolutionary Theory of Economic Change. Cambridge: Harvard University Press (1982)
Neveu, J.: Mathematical Foundations of the Calculus of Probability Theory. San Francisco: Holden Day (1965)
Neyman, A., Sorin, S. (eds.): Stochastic Games and Applications (NATO ASI series). Dordrecht: Kluwer (2003)
Nikaido, H.: Convex Structures and Economic Theory. New York: Academic Press (1968)
Rockafellar, R.T., Wets, R.: Stochastic convex programming: basic duality. Pac J Math 62, 173–195 (1976)
Saks, S.: The Theory of Integral. New York: Dover (1964)
Samuelson, L.: Evolutionary Games and Equilibrium Selection. Cambridge: MIT Press (1997)
Sandholm, W.H.: Population Games and Evolutionary Dynamics. Cambridge: MIT Press (2010)
Sandroni, A.: Do markets favor agents able to make accurate predictions? Econometrica 68, 1303–1341 (2000)
Schaffer, M.: Evolutionarily stable strategies for a finite population and a variable contest size. J Theor Biol 132, 469–478 (1988)
Schumpeter, J.A.: Theorie der wirtschaftlichen Entwicklung. Duncker& Humblot, Leipzig (1911)
Schwalbe, U., Walker, P.: Zermelo and the early history of game theory. Game Econ Behav 34, 123–137 (2001)
Sciubba, E.: Asymmetric information and survival in financial markets. Econ Theor 25, 353–379 (2005)
Shapley, L.S., Shubik, M.: Trade using one commodity as a means of payment. J Polit Econ 85, 937–968 (1977)
Shiller, R.J.: From efficient markets theory to behavioral finance. J Econ Perspect 17, 83–104 (2003)
Shleifer, A.: Inefficient Markets: An Introduction to Behavioral Finance. Oxford: Oxford University Press (2000)
Shubik, M., Whitt, W.: Fiat money in an economy with one durable good and no credit. In: Blaquiere, A. (ed.) Topics in Differential Games, pp. 401–448. North-Holland, Amsterdam (1973)
Telgársky, R.: Topological games: on the 50th anniversary of the Banach–Mazur game. Rocky Mt J Math 17, 227–276 (1987)
Thaler, R.H. (ed.): Advances in Behavioral Finance II. Princeton University Press, Princeton (2005)
Thorp, E.O.: The Kelly criterion in Blackjack sports betting and the stock market. In: Zenios, S.A., Ziemba, W.T. (eds.) Handbook of Asset and Liability Management, vol. 1, pp. 387–428. Amsterdam: Elsevier (2006)
Tversky, A., Kahneman, D.: Loss aversion in riskless choice: a reference-dependent model. Q J Econ 106, 1039–1061 (1991)
Vieille, N.: Two-player stochastic games II: the case of recursive games. Isr J Math 119, 93–126 (2000b)
Wallace, S.W. (ed.): Applications of Stochastic Programming. Philadelphia: SIAM—Mathematical Programming Society Series on Optimization (2005)
Weibull, J.: Evolutionary Game Theory. Cambridge: MIT Press (1995)
Zermelo, E.: Über eine Anwendung der Mengenlehre auf die Theorie des Schachspiels. In: Hobson, E.W., Love, A.E.H. (eds.) Proceedings of the Fifth International Congress of Mathematicians (Cambridge 1912), vol. 2, pp. 501–504. Cambridge: Cambridge University Press (1913)