Self-Protection in the Expected-Utility-of-Wealth Model: An Impossibility Theorem

We investigate the possibility of ordering expected utility-of-wealth maximizers according to their propensities to purchase self-protection. We define one agent as "more cautious" than another (toward a loss of specific size given a specific initial wealth) if the first agent would spend...

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Published inThe Geneva Papers on Risk and Insurance Theory Vol. 17; no. 2; pp. 147 - 157
Main Authors SWEENEY, GEORGE, BEARD, T. RANDOLPH
Format Journal Article
LanguageEnglish
Published Boston Kluwer Academic Publishers 01.12.1992
Palgrave Macmillan
SeriesThe Geneva Risk and Insurance Review
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Abstract We investigate the possibility of ordering expected utility-of-wealth maximizers according to their propensities to purchase self-protection. We define one agent as "more cautious" than another (toward a loss of specific size given a specific initial wealth) if the first agent would spend more on self-protection than the other, so long as the technological relationship between spending and loss probability belongs to a broad class of functions. We show that the expected-utility-of-wealth model does not allow for the possibility that one agent could be "more cautious" than another.
AbstractList We investigate the possibility of ordering expected utility-of-wealth maximizers according to their propensities to purchase self-protection. We define one agent as "more cautious" than another (toward a loss of specific size given a specific initial wealth) if the first agent would spend more on self-protection than the other, so long as the technological relationship between spending and loss probability belongs to a broad class of functions. We show that the expected-utility-of-wealth model does not allow for the possibility that one agent could be "more cautious" than another.
We investigate the possibility of ordering expected utility-of-wealth maximizers according to their propensities to purchase self-protection. We define one agent as “more cautious†than another (toward a loss of specific size given a specific initial wealth) if the first agent would spend more on self-protection than the other, so long- as the technological relationship between spending and loss probability belongs to a broad class of functions. We show that the expected-utility-of-wealth model does not allow for the possibility that one agent could be “more cautious†than another. The Geneva Papers on Risk and Insurance Theory (1992) 17, 147–158. doi:10.1007/BF00962711
We investigate the possibility of ordering expected utility-of-wealth maximizers according to their propensities to purchase self-protection. We define one agent as "more cautious" than another (toward a loss of specific size given a specific initial wealth) if the first agent would spend more on self-protection than the other, so long- as the technological relationship between spending and loss probability belongs to a broad class of functions. We show that the expected-utility-of-wealth model does not allow for the possibility that one agent could be "more cautious" than another. [PUBLICATION ABSTRACT]
Author BEARD, T. RANDOLPH
SWEENEY, GEORGE
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G. Sweeney (CR9) 1992; 59
I. Ehrlich (CR4) 1972; 80
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M. Rothschild (CR7) 1970; 2
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Snippet We investigate the possibility of ordering expected utility-of-wealth maximizers according to their propensities to purchase self-protection. We define one...
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SubjectTerms Economic models
Economic theory
Expected utility
Insurance markets
Probability distributions
Risk
Risk aversion
Risk aversion preference
Self insurance
Spending
Wealth
Title Self-Protection in the Expected-Utility-of-Wealth Model: An Impossibility Theorem
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