Abstract

In this paper, we use a partition function form game to analyze cartel formation among firms in Cournot competition. We assume that a firm obtains a certain cost advantage that allows it to produce goods at a lower unit cost. We show that if the level of the cost advantage is “moderate”, then the firm with the cost advantage leads the cartel formation among the firms. Moreover, if the cost advantage is relatively high, then the formed cartel can also be stable in the sense of the core of a partition function form game. We also show that if the technology for the low-cost production can be copied, then the cost advantage may prevent a cartel from splitting.

Highlights

  • Many approaches have been proposed to analyze cartel formation

  • As shown by the title of his paper, “A simple model of imperfect competition, where 4 are few and 6 are many”, this result suggests that cartel formation depends deeply on the number of firms in a market

  • We have shown that the result of cartel formation depends on the level of the cost advantage a firm attains

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Summary

Introduction

Many approaches have been proposed to analyze cartel formation. Ref. [1] first introduced a simple noncooperative game to study cartel formation among firms. [5] uses a partition function form game to study an endogenously stable coalition structure in Cournot competition. This phenomenon is known as the “merger paradox” in Cournot competition According to this standard model, firms may have no incentive to form their coalitions, while many cartels are reported in our actual market.. If the cost advantage is very large (namely, 1 < ), firm 1 no longer needs to merge with firm 2: it is more profitable for firm 1 to produce goods alone by taking advantage of the very low cost The latter two cases still suggest the merger paradox in two different ways, while the first case suggests the possibility of endogenous cartel formation. We apply the core of a partition function form game to discuss stable coalition structures.

Preliminaries
Cartel Formation
Cartel Stability
Below is the list of profits for
The Spread of Technology
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