We model a player's uncertainty about other player's strategy choices as probability distributions over their strategy sets. We call a strategy profile robust to strategic uncertainty if it is the limit, as uncertainty vanishes, of some sequence of strategy profiles in each of which every...

We model a player's uncertainty about other player's strategy choices as probability distributions over their strategy sets. We call a strategy profile robust to strategic uncertainty if it is the limit, as uncertainty vanishes, of some sequence of strategy profiles in each of which every...

This paper studies the evolution of peoples' models of how other people think - their theories of mind. First, this is formalized within the level-k model, which postulates a hierarchy of types, such that type k plays a k times iterated best response to the uniform distribution. It is found...

This paper characterizes the unique Markov equilibrium in the sequential move, finite horizon pricing duopoly with discounting. Simple, short cycles repeat until the last two periods. For discount factors above 0.75488, there are three-period reaction function cycles and below 0.75488,...

In the present work, I adopt the cognitive hierarchy approach to analyze the centipede game. To this end, I present and study an extensive-form version of Camerer et al.'s (2004) original normal-form model. The resulting predictions are evaluated empirically using laboratory data borrowed from a...

In the present work, I adopt the cognitive hierarchy approach to analyze the centipede game. To this end, I present and study an extensive-form version of Camerer et al.'s (2004) original normal-form model. The resulting predictions are evaluated empirically using laboratory data borrowed from a...

In the text-book model of dynamic Bertrand competition, competing firms meet the same demand function every period. This is not a satisfactory model of the demand side if consumers can make intertemporal substitution between periods. Each period then leaves some residual demand to future...

In the text-book model of dynamic Bertrand competition, competing firms meet the same demand function every period. This is not a satisfactory model of the demand side if consumers can make intertemporal substitution between periods. Each period then leaves some residual demand to future...

This paper analyzes a finite horizon, sequential move pricing duopoly, restricting attention to Markov-strategies. The solution yields stationary patterns, independent of initial conditions, where the reaction-functions follow cycles of three periods. The market price never settles down, and is...

Two firms produce different qualities at possibly different, constant marginal costs. They compete in quantities on a market where buyers only observe the average quality supplied. The model is a generalization of the standard Cournot duopoly, which corresponds to the special case where the two...