In this paper we extend the basic model of Cournot competition to the case where both the demand function and the cost functions of each firm depend on the amounts produced by competitors. In this modified setting, proving existence of equilibria becomes harder. We develop a generalization of...

This paper develops a novel methodology to study robust stability properties of Nash equilibrium points in dynamic games. Small-gain techniques in modern mathematical control theory are used for the first time to derive conditions guaranteeing uniqueness and global asymptotic stability of Nash...

This article analyses the ability of the learning firms in a Cournot oligopoly to discover market solutions more collusive that the Cournot equilibrium (CE). We start from the results of Vallée and Yıldızoğlu (J Econ Behav Organ 72:670–690, <CitationRef CitationID="CR11">2009</CitationRef>) and of Alós-Ferrer (Int J Ind Organ...</citationref>

Convergence to Nash equilibrium in Cournot oligopoly is a problem that recurrently arises as a subject of study in economics. The development of evolutionary game theory has provided an equilibrium concept more directly connected with adjustment dynamics and the evolutionary stability of the...

Convergence to the Nash equilibrium in a Cournot oligopoly is a question that recurrently arises as a subject of controversy in economics. The development of evolutionary game theory has provided an equilibrium concept more directly connected with adjustment dynamics, and the evolutionary...

This article analyses the possibility of firms learning collusive solutions in a Cournot quantity game. Starting from the results of Vallée and Yildizoglu (2009) and of Alos-Ferrer (2004), we study the role of random experimenting, social learning (imitation), and (updated) memory in helping...

One key problem regarding the external validity of laboratory experiments is their duration: while economic interactions out in the field are often lengthy processes, typical lab experiments only last for an hour or two. To address this problem for the case of both symmetric and asymmetric...

In this note we study a very simple trial & error learning process in the context of a Cournot oligopoly. Without any knowledge of the payoff functions players increase, respectively decrease, their quantity by one unit as long as this leads to higher profits. We show that despite the absence of...

We report results of experiments designed to test the predictions of the best reply process. In a Cournot oligopoly with four firms, the best reply process should theoretically explode if demand and cost functions are linear. We find, however, no experimental evidence of such instability....

We study communication in a static Cournot duopoly model under the assumption that the firms have unverifiable private information about their costs. We show that cheap talk between the firms cannot transmit any information. However, if the firms can communicate through a third party,...