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Bounded Cumulative Prospect Theory: Some Implications for Gambling Outcomes
[journal article]
Abstract
Standard parametric specifications of Cumulative Prospect theory (CPT) can explain why agents bet on longshots at actuarially unfair odds. However the standard specification of CPT cannot explain why people might bet on more favored outcomes, where by construction the greatest volume of money is be... view more
Standard parametric specifications of Cumulative Prospect theory (CPT) can explain why agents bet on longshots at actuarially unfair odds. However the standard specification of CPT cannot explain why people might bet on more favored outcomes, where by construction the greatest volume of money is bet. This paper outlines a parametric specification than can consistently explain gambling over all outcomes. In particular we assume that the value function is bounded from above and below and that the degree of loss aversion experienced by the agent is smaller for small-stake gambles (as a proportion of wealth) than usually assumed in CPT. There are a number of new implications of this specification. Boundedness of the value function in CPT implies that the indifference curve between expected-return and win-probability for a given stake will typically exhibit both an asymptote (implying rejection of an infinite gain bet) and a minimum, as the shape of the value function dominates the probability weighting function. Also the high probability section of the indifference curve will exhibit a maximum.... view less
Classification
National Economy
Document language
English
Publication Year
2008
Page/Pages
p. 5-15
Journal
Applied Economics, 40 (2008) 1
DOI
https://doi.org/10.1080/00036840701728765
ISSN
1466-4283
Status
Postprint; peer reviewed
Licence
PEER Licence Agreement (applicable only to documents from PEER project)