This note documents Aumann's reason for omitting the "empty shells" argument for the common prior assumption from the final version of "Correlated Equilibrium as an Expression of Bayesian Rationality." It then continues to discuss the argument and concludes that rational entities cannot learn...

"Case-Based Decision Theory" is a theory of decision making under uncertainty, suggesting that people tend to choose acts that performed well in similar cases they recall. The theory has been developed from a decision-/game-/economic-theoretical point of view, as a potential alternative to...

This paper suggests definitions for two closely related terms which are (or could be) used in the social sciences. First, "rationality" is defined as a behavior which will not be altered as a result of awareness to its analysis. Next, an "ascriptive theory" is defined to be a descriptive theory...

The paper provides an axiomatization of linear inequality measures as a representation of a binary relation on the subspace of income profiles having the same total income. Interpreting the binary relation as a preferences (of, say, a policymaker), we extend the axioms to the whole space of...

We present and axiomatize several update rules for probabilities (and preferences) where there is no unique additive prior. In the context of non-additive probabilities we define and axiomatize Bayesian update rules; in the context of multiple (additive) priors we define maximum likelihood...

This paper analyzes some decision/belief paradoxes from a Bayesian viewpoint, focusing on Hempel's "paradox of confirmation" and Good's variation of it. It is shown that a straightforward Bayesian analysis revolves the paradoxes discussed. These exampmles are used to support the view tha twhat...

We present a model of brand-switching in which a consumer's impression of each brand is based on her memory of past consumption of this brand, and is stochastically updated whenever the brand is consumed. In the ordinal version of the model, consumer's memory is an ordering of the available...