We show that there is a unique correlated equilibrium, identical to the unique Nash equilibrium, in the classic Bertrand oligopoly model with homogenous goods.This provides a theoretical underpinning for the so-called "Bertrand paradox" and also generalizes earlier results on mixed-strategy Nash...

We show that there is a unique correlated equilibrium, identical to the unique Nash equilibrium, in the classic Bertrand oligopoly model with homogenous goods. This provides a theoretical underpinning for the so-called "Bertrand paradox" and also generalizes earlier results on mixed-strategy...

In this paper the standard Hotelling model with quadratic transport costs is extended to the multi-firm case. The sequential game consists of a location choice stage and a price setting stage. Considering locational equilibria it is shown that neither holds the Principle of Maximum...

We provide an evolutionary foundation to evidence that in some situations humans maintain optimistic or pessimistic attitudes towards uncertainty and are ignorant to relevant aspects of the environment. Players in strategic games face Knightian uncertainty about opponents' actions and maximize...

We use an experiment to explore how subjects learn to play against computers which are programmed to follow one of a number of standard learning algorithms. The learning theories are (unbeknown to subjects) a best response process, fictitious play, imitation, reinforcement learning, and a trial...

We provide an evolutionary foundation to evidence that in some situations humans maintain either optimistic or pessimistic attitudes towards uncertainty and are ignorant to relevant aspects of the environment. Players in strategic games face Knightian uncertainty about opponents' actions and...

This paper works out an Excel Spreadsheet to help play Hotelling's spatial competition game. It allows different commuting cost, and even quadratic cost function. It produces the demand curves and the equilibrium. It helps avoid misunderstanding around the spatial competition model, and offer...

We study the effect of voting when insiders' public goods provision may affect passive outsiders. Without voting insiders' contributions do not differ, regardless of whether outsiders are positively or negatively affected or even unaffected. Voting on the recommended contribution level enhances...