Some extensions of Luce's measures of risk

In this paper we extend measures of risk proposed by Luce. A new exponential model of risk is developed that may be empirically more acceptable than the log model of Luce.Expectation principle is often employed in the construction of measures of risk. Empirical studies, however, suggest that this principle may not be valid. We suggest a generalization of the expectation principle and show as examples how two measures of Luce can be modified to incorporate this generalized expectation principle.Finally, the gambles with gains only are perceived by some subjets to have no risk at all. A new concept of riskiness that is based on the choice between two gambles is defined.