We propose a notion of r-rationality, a relative version of satisficing behavior based on the idea that, for any set of available alternatives, individuals choose one of their r-best according to a single preference. We fully characterize the choice functions satisfying the condition for any r,...

We characterize the maximal sets of preferences under which generalized median voter schemes are strategy-proof. Those domains are defined by a qualified version of single-peakedness, which depends on the distribution of power among agents implied by each generalized median voter scheme