Austen-Smith and Banks (1996) showed that sincere voting is not typically an equilibrium of the Condorcet voting model when the electorate is large. Here, we reverse their finding by adding to the Condorcet model a third type of voter—one that receives no information in favor of either of the alternatives—as well as global uncertainty about the probability that each voter is such a “no evidence...

This paper is concerned with the general problem of constructing decision tables and more specifically, with the identification of all possible outcomes of decisions. We introduce and propose basic influence diagrams as a simple way of describing problems of decision making under strict uncertainty. We then establish a correspondence between basic influence diagrams and symmetric generalised as...

Uncertainty quantification is an important approach to modeling in the presence of limited information about uncertain quantities. As a result recent years have witnessed a burgeoning body of work in this field. The present paper gives some background, highlights some recent work, and presents some problems and challenges.

We examine the e¤ect of ambiguity in symmetric games with aggregate external-ities. We …nd that ambiguity will increase/decrease the equilibrium strategy in games withstrategic complements/substitutes and positive externalities. These e¤ects are reversed ingames with negative externalities. We consider some economic applications of these resultsto Cournot oligopoly, bargaining, ...

We consider a market game with a continuum of consumers, where the measure of each type is stochastic. Nature selects the set of active consumers, who make bids and o¤ers on ` ¡ 1 spot market trading posts. Existence of type-symmetric Nash equilibrium is proven. When facing price uncertainty, best responses are unique, and a Nash equilibrium to the sell-all game is typically not a Nash equilibr...

We study the commutation relations, uncertainty relations and spectra of position and momentum operators within the framework of quantum group symmetric Heisenberg algebras and their (Bargmann-) Fock representations. As an effect of the underlying noncommutative geometry, a length and a momentum scale appear, leading to the existence of minimal nonzero uncertainties in the positions and momenta...

Recent work [3, 21 has explored a Kalman filter model of animal spatial learning the presence uncertainty in sens o y as well as path integration estimates. This model was able to successfully account for several of the behavioral experiments reported in the animal navigation literature [lo, 61. This paper extends this model in some important directions. It accounts for the observed firing patt...