Decision-making and Fuzzy Temporal Logic
This provides a formal logic-based framework for modeling economic decision-making behaviors, though it appears to be an incremental application of existing fuzzy logic methods to a specific domain.
This paper demonstrates that fuzzy temporal logic can model decision-making behaviors by applying it to economic choice problems involving time, uncertainty, and fuzziness. It shows that subadditive discounting explains the magnitude and time effects in time preference, and that risk attitudes in Prospect Theory depend on the magnitude of potential losses.
This paper shows that the fuzzy temporal logic can model figures of thought to describe decision-making behaviors. In order to exemplify, some economic behaviors observed experimentally were modeled from problems of choice containing time, uncertainty and fuzziness. Related to time preference, it is noted that the subadditive discounting is mandatory in positive rewards situations and, consequently, results in the magnitude effect and time effect, where the last has a stronger discounting for earlier delay periods (as in, one hour, one day), but a weaker discounting for longer delay periods (for instance, six months, one year, ten years). In addition, it is possible to explain the preference reversal (change of preference when two rewards proposed on different dates are shifted in the time). Related to the Prospect Theory, it is shown that the risk seeking and the risk aversion are magnitude dependents, where the risk seeking may disappear when the values to be lost are very high.