Attitudes to Risk and Roulette
We present an empirical framework for determining whether or not customers at the roulette wheel are risk averse or risk loving. Thus, we present a summary of the Aumann-Serrano (2007) risk index as generalized to allow for the presence of risk lovers by Schnytzer and Westreich (2010). We show that, for any gamble, whereas riskiness increases for gambles with positive expected return as the amount placed on a given gamble is increased, the opposite is the case for gambles with negative expected return. Since roulette involves binary gambles, we restrict our attention to such gambles exclusively and derive empirically testable hypotheses. In particular, we show that, all other things being equal, for gambles with a negative expected return, riskiness decreases as the size of the contingent payout increases. On the other hand, riskiness increases if the gamble has a positive expected return. We also prove that, for positive return gambles, riskiness increases, ceteris paribus, in the variance of the gamble while the reverse is true for gambles with negative expected returns. Finally, we apply these results to the specific gambles involved in American roulette and discuss how we might distinguish between casino visitors who are risk averse and those who are risk loving as well as those who may suffer from gambling addictions of one form or another.
|Date of creation:||Mar 2011|
|Contact details of provider:|| Postal: Faculty of Social Sciences, Bar Ilan University 52900 Ramat-Gan|
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- Robert J. Aumann & Roberto Serrano, 2006.
"An Economic Index of Riskiness,"
321307000000000585, UCLA Department of Economics.
- Robert J. Aumann & Roberto Serrano, 2007. "An economic index of riskiness," Working Papers 2007-08, Instituto Madrileño de Estudios Avanzados (IMDEA) Ciencias Sociales.
- Robert J. Aumann & Roberto Serrano, 2006. "An Economic Index of Riskiness," Working Papers 2006-20, Brown University, Department of Economics.
- Robert J. Aumann & Roberto Serrano, 2007. "An Economic Index of Riskiness," Discussion Paper Series dp446, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
- Robert J. Aumann & Roberto Serrano, 2007. "An Economic Index of Riskiness," Levine's Bibliography 321307000000000836, UCLA Department of Economics.
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"An Empirical Analysis of Cigarette Addiction,"
NBER Working Papers
3322, National Bureau of Economic Research, Inc.
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"A Theory of Rational Addiction,"
University of Chicago - George G. Stigler Center for Study of Economy and State
41, Chicago - Center for Study of Economy and State.
- Frank J. Chaloupka, 1990. "Men, Women, and Addiction: The Case of Cigarette Smoking," NBER Working Papers 3267, National Bureau of Economic Research, Inc.
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