We review the recent theoretical developments toward understanding the Mott phases and quantum phase transition of extended Bose–Hubbard models on lattices in two spatial dimensions. We focus on the description of these systems using the dual vortex picture and point out the crucial role...

Research in human information processing demonstrates that the presence of irrelevant information has an adverse effect on the quality of decisions. Decision makers are unable to identify and separate the effect of irrelevant information, thereby reducing the quality of decisions. The propensity...

Consider an agent with fuzzy preferences, who has to make exact choices when faced with different feasible sets of alternatives. Confining our analysis to the case of feasible sets with not more than two alternatives, we axiomatically characterize two broad classes of decision rules (`ratio...

The authors propose a solution concept--which they call viable proposals--for games in coalitional form that endogenously determines a coalition structure together with an associated set of payoff configurations as parts of the solution. They show that there is at least one viable proposal for...