The traditional model of sequential decision making, for instance, in extensive form games, is a tree. Most texts define a tree as a connected directed graph without loops and a distinguished node, called the root. But an abstract graph is not a domain for decision theory. Decision theory...

Influential economic approaches as random utility models assume a monotonic relation between choice frequencies and "strength of preference," in line with widespread evidence from the cognitive sciences, which also document an inverse relation to response times. However, for economic decisions...

The ability to uncover preferences from choices is fundamental for both positive economics and welfare analysis. Overwhelming evidence shows that choice is stochastic, which has given rise to random utility models as the dominant paradigm in applied microeconomics. However, as is well known, it...