We describe the large deviations properties, stationary distribution asymptotics, and stochastically stable states of stochastic evolutionary processes based on the logit choice rule, focusing on behavior in the small noise double limit. These aspects of the stochastic evolutionary process can...

We consider fundamental questions of arbitrage pricing arising when the uncertainty model is given by a set of possible mutually singular probability measures. With a single probability model, essential equivalence between the absence of arbitrage and the existence of an equivalent martingale...

I analyze a monopolistic model of quality uncertainty but with the possibility of information acquisition on the consumer side. Information is costly and its amount is chosen by the consumer. The analysis of Bayesian equilibria shows the possibility of three equilibrium classes, only one of...

Many authors demonstrate that the tax gap resulting from tax competition increases with the size asymmetry of the competing countries. Consequently, increasing country-size disparities exacerbates the inefficiency of tax competition.The aim of this note is to show that this classical view has no...

How should we make value judgments about wealth inequality? Harsanyi (1953) proposes to take an individual who evaluates her well-being by expected utility and ask her to evaluate the wealth possibilities ex-ante (i.e. before she finds her place in society, i.e., under the "veil of ignorance" of...

We seek to find the statistical model that most accurately describes empirically observed results in sports. The idea of a transitive relation concerning the team strengths is implemented by imposing a set of constraints on the outcome probabilities. We theoretically investigate the resulting...

An agent needs to determine a belief over potential outcomes for a new problem based on past observations gathered in her database (memory). There is a rich literature in cognitive science showing that human minds process and order information in categories, rather than piece by piece. We assume...

The present paper considers a class of general equilibrium economics when the primitive uncertainty model features uncertainty about continuous-time volatility. This requires a set of mutually singular priors, which do not share the same null sets. For this setting we introduce an appropriate...

Under risk, Arrow-Debreu equilibria can be implemented as Radner equilibria by continuous trading of few long-lived securities. We show that this result generically fails if there is Knightian uncertainty in the volatility. Implementation is only possible if all discounted net trades of the...