Piotr Dudziński

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We consider decision about the choice of a lawyer as a particular case of self-insurance-cumprotection when the lawyer’s cost is repaid in case of victory. The problem was introduced by Sevi and Yafil (2005) in the context of self-protection, which requires assumption that the size of loss does not depend on effort (level of the expenditure on lawyer). In this paper we drop that assumption and our model includes possibility that both loss and probability of incurring a loss depend on effort. We prove that unlike the standard cases of SP and SICP, the level of effort is monotone in risk aversion. We interpret and explain the result in terms of mean-preserving spread and increasing riskiness in the sense of Rothschild-Stiglitz. We prove that increase in SICP with indemnity leads to increased riskiness of the utility of final wealth. As a consequence, the more risk-averse individual is, the less she invests in legal expenses.


self-protection, self-insurance-cum-protection, riskiness, risk-aversion


[1] Briys E., Schlesinger H., (1990), Risk Aversion and the Propensities for Self – Insurance and Self-Protection, Southern Economic Journal, 57 (2), 458-467.

[2] Chiu W. H., (2005), Degree of Downside Risk Aversion and Self-Protection, Insurance: Mathematics and Economics, 36, 93-101.

[3] Chiu W. H., (2000), On the Propensity to Self-Protect, Journal of Risk and Insurance, 67 (4), 555–577.

[4] Courbage C., (2001), Self-Insurance, Self-Protection and Market Insurance Within the Dual Theory of Choice, The Geneva Papers on Risk and Insurance Theory, 26 (1), 43-56.

[5] Dionne G., Eeckhoudt L., (1985), Self-Insurance, Self-Protection and Increasing RiskAversion, Economics Letters, 17 (1-2), 39-42.

[6] Dionne G., Li, J., (2010), The Impact of Prudence on Optimal Prevention Revisited, CIRRELT – 2010-33.

[7] Eeckhoudt L., Gollier, C., (2005), The Impact of Prudence on Optimal Prevention, Economic Theory, 26, 989-994.

[8] Ehrlich I., Becker G. S., (1972), Market Insurance, Self-Insurance, and Self-Protection, Journal of Political Economy, 80 (4), 623-648.

[9] Jullien B., Salanie B., Salanie F., (1999), Should More Risk-Averse Agents Exert More Effort?, Geneva Papers on Risk and Insurance Theory, 24 (1), 19-25.

[10] Lee K., (1998), Risk Aversion and Self-Insurance-cum-Protection. Journal of Risk and Uncertainty, 17, 139-150.

[11] Lee K. (2005), Wealth Effects on Self-Insurance and Self-Protection against Monetary and Nonmonetary Losses, The Geneva Risk and Insurance Review, 30, 147-159.

[12] Lee K. (2010), Wealth Effects on Self-Insurance, The Geneva Risk and Insurance Review 35, 160-171.

[13] Pratt J. W., (1964), Risk Aversion in the Small and in the Large, Econometrica, 32, 122-136.

[14] Rothschild M., Stiglitz J., (1970), Increasing Risk. I. A Defnition, J. Econ. Theory 2, 225-243.

[15] Sweeney G., Beard, T. R., (1992), The Comparative Statics of Self – Protection, Journal of Risk and Insurance, 59, 301-309.

[16] Sevi B., Yafi l F., (2005), A Special Case of Self-Protection: The Choice of a Lawyer, Economics Bulletin, 4 (6), 1-8.

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