Two notions of stability, ex ante stability and Bayesian stability, are investigated in a matching model with non-transferrable utility, interdependent preferences, and one-sided incomplete information. Ex ante stable matching-outcomes are unblocked for every belief on the blocking partner's type while Bayesian stable matching-outcomes are unblocked with respect to prior beliefs. Ex ante stability is a minimal requirement. Bayesian stability is a more selective desideratum with sound efficiency properties.

Preferences may arise from regret, i.e., from comparisons with alternatives forgone by the decision maker. When each outcome in a random variable is compared with the parallel outcome in an alternative random variable, regret preferences are transitive iff they are expected utility. In this paper we show that when the choice set consists of pairwise statistically independent lotteries and the regret associated with each outcome is with respect to the entire alternative distribution, then transitive regret-based behavior is consistent with betweenness preferences and with a family of preferences that is characterized by a consistency property. Examples of consistent preferences include CARA, CRRA, and anticipated utility. © 2014 Elsevier Inc.

We investigate conditions under which the value of additional information is diminishing in a setting where the decision maker has access to multiple, identically-distributed, information signals. The signals are assumed to be independent conditional on an unknown payoff-relevant parameter. The decision maker minimizes a quadratic loss function. Quadratic losses arise in quality control, scoring rules, and other applications. We characterize two concepts of diminishing marginal value of information. The first is an ex ante concept, before any information is observed, and the second is an ex post concept, after observation of previous information signals. The former concept is useful for ex ante information acquisition decisions and the latter for sequential information acquisition. © 2013 INFORMS.