Achieving an ambitious goal frequently requires succeeding in a sequence of intermediate tasks, some being critical for the final outcome, and others not. However, individuals are not always able to provide a level of effort sufficient to guarantee success in all such intermediate tasks. The ability to manage effort throughout the sequence of tasks is, therefore, critical when resources are limited. In this paper, we propose a criterion of importance that is person- and context-specific, as it is based on how (...) an individual should optimally allocate a limited stock of exhaustible efforts over tasks. We test this importance criterion in a laboratory experiment that reproduces the main features of a tennis match. We show that our importance criterion is able to predict the individuals’ performance and it outperforms the Morris-importance criterion that defines the importance of a point in terms of its impact on the probability of achieving the final outcome. (shrink)

We give a characterization of majority voting rules with quorums in the framework of May (Econometrica 20:680–684, 1952)’s seminal article. According to these voting rules, an alternative is socially chosen if and only if it obtains the relative majority of votes and the total number of voters not abstaining reaches the quorum.

We give some characterizations for both the untrapped set and the top cycle choice functions. We link these characterizations with the well-known characterization of the maximal elements choice function. Our characterizations strongly rely on the notion of “two-tier domination”.

An agent is rational by dominance then states of mind (DSM) if he makes his decisions by, first, preselecting the alternatives that are not dominated by any other alternative in the choice set, and second, by choosing the preselected alternative corresponding to his state of mind. This state of mind is dependent on the previous choices he made. An agent is rational by states of mind then dominance (SMD) if he makes his decisions by, first, preselecting the alternatives corresponding to (...) his state of mind and second, choosing the alternative that is not dominated. We give axiomatizations for SMD-rational or DSM-rational choice functions. (shrink)