In this article, we present a contextually embedded choice theory. Using concepts and tools of poset mathematics, we show how to include in rational choice theory cultural and social effects. Specifically, we define some choice superstructures, seen as choice set transformations imposed by cultural and social norms. As we shall argue, these transformations can be of help to explain choice behavior within different contexts. Moreover, we show that, once choice superstructures are taken into account, some well-known results about maximizing and (...) optimizing behavior are easily confirmed and some insights on intransitive choices may be phased out. (shrink)

We propose two different characterizations for preference relations representable by lower (upper) expectations with the aim of removing either fair price or completeness requirements. Moreover, we give an explicit characterization for comparative degrees of belief on a finite algebra of events representable by lower probabilities.

Bayesian models typically assume that agents are rational, logically omniscient and opinionated. The last of these has little descriptive or normative appeal, however, and limits our ability to describe how agents make up their minds (as opposed to changing them) or how they can suspend or withdraw their opinions. To address these limitations this paper represents the attitudinal states of non-opinionated agents by sets of (permissible) probability and desirability functions. Several basic ways in which such states of mind can be (...) changed are then characterised and compared with those found in AGM style models of attitude revision. Finally these models are employed to describe how agents make up their mind when deliberating. (shrink)