2000RePEc: Research Papers in EconomicsOpen access

Cartel Stability and Product Differentiation: How Much Do the Size of the Cartel and the Size of the Industry Matter?

Pedro Posada

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Abstract

This article analyses how the degree of product differentiation, the size of the cartel and the size of the industry affect the stability of a cartel formed by any number of firms in an industry of any size. The paper considers a supergame-theoretic model to define stability. After a non-loyal member leaves the cartel, two possible reactions by the remaining members of the cartel are assumed. The first one is a trigger strategy where the cartel dissolves after one member has left and the second is one where the cartel keeps acting as a cartel with one member less. The work also extends the analysis to investigate the stability of the remaining cartel. The results indicate that the relation between the cartel stability and the degree of differentiation of the products depends considerably on the size of the cartel, the size of the industry and the reaction of the loyal members of the cartel.

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This article analyses how the degree of product differentiation, the size of the cartel and the size of the industry affect the stability of a cartel formed by any number of firms in an industry of any size. The paper considers a supergame-theoretic model to define stability. After a non-loyal member leaves the cartel, two possible reactions by the remaining members of the cartel are assumed. The first one is a trigger strategy where the cartel dissolves after one member has left and the second is one where the cartel keeps acting as a cartel with one member less. The work also extends the analysis to investigate the stability of the remaining cartel. The results indicate that the relation between the cartel stability and the degree of differentiation of the products depends considerably on the size of the cartel, the size of the industry and the reaction of the loyal members of the cartel.

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Available abstract

This article analyses how the degree of product differentiation, the size of the cartel and the size of the industry affect the stability of a cartel formed by any number of firms in an industry of any size. The paper considers a supergame-theoretic model to define stability. After a non-loyal member leaves the cartel, two possible reactions by the remaining members of the cartel are assumed. The first one is a trigger strategy where the cartel dissolves after one member has left and the second is one where the cartel keeps acting as a cartel with one member less. The work also extends the analysis to investigate the stability of the remaining cartel. The results indicate that the relation between the cartel stability and the degree of differentiation of the products depends considerably on the size of the cartel, the size of the industry and the reaction of the loyal members of the cartel.

Key concepts: Cartel, Product (mathematics), Product differentiation, Market size, Stability (learning theory), Industrial organization, Economics, Business

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Cartel Stability and Product Differentiation: How Much Do the Size of the Cartel and the Size of the Industry Matter? — Research Paper | ScholarLens