2023Mathematical Social SciencesOpen access

Mergers of complements, endogenous product differentiation and welfare

Tien-Der Han, Arijit Mukherjee

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Abstract

The static analysis shows that a merger among complementary input suppliers or complementary patent holders benefits the consumers and the society by reducing the input prices. We show that the effects of a merger of complements are not so straightforward in a dynamic set up with endogenous product differentiation in the final goods market. The merger of complements reduces the total input prices and increases product differentiation. However, whether it increases or decreases consumer surplus and welfare depends on the market expansion following product differentiation, the number of merged input suppliers and the intensity of competition. Hence, in a dynamic setup with endogenous product differentiation, the antitrust authorities may need to be more careful about mergers of complements. Our analysis has also relevance for vertical mergers.

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What this paper is about

The static analysis shows that a merger among complementary input suppliers or complementary patent holders benefits the consumers and the society by reducing the input prices. We show that the effects of a merger of complements are not so straightforward in a dynamic set up with endogenous product differentiation in the final goods market. The merger of complements reduces the total input prices and increases product differentiation. However, whether it increases or decreases consumer surplus and welfare depends on the market expansion following product differentiation, the number of merged input suppliers and the intensity of competition. Hence, in a dynamic setup with endogenous product differentiation, the antitrust authorities may need to be more careful about mergers of complements. Our analysis has also relevance for vertical mergers.

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OpenAlex reports 6 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

The static analysis shows that a merger among complementary input suppliers or complementary patent holders benefits the consumers and the society by reducing the input prices. We show that the effects of a merger of complements are not so straightforward in a dynamic set up with endogenous product differentiation in the final goods market. The merger of complements reduces the total input prices and increases product differentiation. However, whether it increases or decreases consumer surplus and welfare depends on the market expansion following product differentiation, the number of merged input suppliers and the intensity of competition. Hence, in a dynamic setup with endogenous product differentiation, the antitrust authorities may need to be more careful about mergers of complements. Our analysis has also relevance for vertical mergers.

Key concepts: Product differentiation, Economic surplus, Microeconomics, Product (mathematics), Consumer welfare, Welfare, Competition (biology), Economics

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