Ewa Drabik

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Many important economic decisions involve an element of risk. Risk aversion is a concept in economic, game theory, finance and psychology related to the behavior of consumers, players and investors under uncertainty. Loss aversion is an important component of a phenomenon that has been discussed a lot in recent years. Loss aversion is a tendency to feel the pain of a loss more acutely than pleasure of the equal – sized gain. Many scientists have analyzed the problem of profitability in the game. Some authors presented certain features, by which “safe” games played once should be characterized. Kahneman and Tversky (1991) showed that loss – aversion – to – gain – attraction ratio should amount to 1:2. The aim of this paper is to show an asymptotically effective strategy which enables the risk – aversive player to establish boundary variables loss and gain at each stage of the repeated game.


asymptotically efficient strategy, risk aversion, loss aversion, repeated game


[1] Aumann R.J., Serrano R., [2007], An Economic Index of Riskiness, 3th Spain Italy Netherlands Meeting on Game Theory (SING 3), Amsterdam July 4-6, p. 37.

[2] Drabik E., [2009], Asymptotically Efficient Adaptive Allocation Rule as a Method of Rejecting Low and Excessively High Risk, 5th Spain Italy Netherlands Meeting on Game Theory (SING 5), Amsterdam July 1-3, p. 25.

[3] Drabik E., [2000], Zastosowania teorii gier do inwestowania w papiery wartościowe, str. 251, Wydawnictwo Uniwersytetu w Białymstoku, Białystok.

[4] Epstein L.G., [1992], Behavior Under Risk: Recent Developments, [in:] Theory and Applications in Advances in Economic Theory, Vol. II, edited by J.L. Laffont, Cambridge University Press, s. 1-63.

[5] Lai T.L., Robbins H., [1985], Asymptotically Efficient Adaptive Allocation Rules, Advanced in Applied Mathematics 6, s. 4-22.

[6] Kimball. M.S., [1991], Standard risk aversion, NBER Technical Working Paper, No. 99.

[7] Mass-Colell A., Whinston M.D., Green J.R., [1995], Microeconomic theory, Oxford University Press, New York.

[8] Michalska E., Gołąbowska B., [1998], Użyteczność a Ryzyko w Problemie Wyboru Portfela Akcji, [w:] Modelowanie preferencji a ryzyko’ 98, red. T. Trzaskalik, s. 265-274, Wydawnictwo Akademii Ekonomicznej w Katowicach, Katowice.

[9] Palacios Huerta I., Serrano R., [2006], Rejecting Small Gambles Under Expected Utility, Economics Letters 91, s. 250-259.

[10] Rabin M., [2000], Risk Aversion and Expected Utility: a Calibration Theorem, „Econometrica” 68, s. 1287-1292.

[11] Rabin M., Thaler R.H., [2001], Anomalies Risk Aversion, „Journal of Economic Properties” 15(1), s. 219-232.

[12] Segal U., Spivak A., [1990], First Order versus Second Order Risk Aversion, „Journal of Economic Theory” 51, s. 111-125.

[13] Tversky A., Kahneman R., [1991], Loss Aversion in Riskless Choice a Reference -Dependent Model, „Quarterly Journal of Economics” 106, s. 204-217.

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