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On the Theory of Risk Aversion

International Economic Review, 1970
the existing theory by establishing the economic significance of the partial relative risk aversion function. Let u(t) be a utility function for wealth. The functions A(t) = -u"(t)/u'(t) and R(t) -tu"(t)/u'(t) are the Arrow-Pratt absolute and relative risk aversion functions.
Menezes, C F, Hanson, D L
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Risk and Systems Theory

Risk Analysis, 2002
The last few decades have seen increasingly widespread use of risk assessment and management techniques as aids in making complex decisions. However, despite the progress that has been made in risk science, there still remain numerous examples of risk‐based decisions and conclusions that have caused great controversy.
Adam J, Hatfield, Keith W, Hipel
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A Theory of Risk Disclosure

SSRN Electronic Journal, 2015
In this paper, we consider the pricing effects of noisy risk disclosure. We assume that investors are uncertain about the variance of a firm's cash flows and that the firm releases an imperfect signal regarding this variance. We show that the variance uncertainty is priced and that risk disclosure decreases the cost of capital in both single and multi ...
Mirko S. Heinle, Kevin C. Smith
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A Theory for Measures of Tail Risk

Mathematics of Operations Research, 2016
The notion of “tail risk” has been a crucial consideration in modern risk management and financial regulation, as very well documented in the recent regulatory documents. To achieve a comprehensive understanding of the tail risk, we carry out an axiomatic study for risk measures that quantify the tail risk, that is, the behaviour of a risk beyond a ...
Fangda Liu, Ruodu Wang
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On the theory of risk aversion and the theory of risk

Journal of Economic Theory, 1979
Abstract Relationships between the theory of risk aversion and the theory of risk have been noted by Diamond and Stiglitz [12], Kihlstrom and Mirman [24], and Leland [29]. The main result of this paper is a characterization of the Pratt and Kihlstrom-Mirman [24, 46] relation “more risk averse” between utility functions in terms of a stochastic ...
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A Theory of Epistemic Risk

Philosophy of Science, 2019
I propose a general alethic theory of epistemic risk according to which the riskiness of an agent’s credence function encodes her relative sensitivity to different types of graded error. After motivating and mathematically developing this approach, I show that the epistemic risk function is a scaled reflection of expected inaccuracy (a quantity also ...
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Theory of Generalized Risk Attitudes

Decision Analysis, 2015
This paper develops a theory of risk attitudes that can be applied in a broad array of settings, including those in which the decision maker (DM) abides by a preference model other than the expected utility model and in which decisions are being made over multiattribute alternatives. The theory is based on (i) a set of plausible axioms in which the DM’
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