2015RePEc: Research Papers in EconomicsRequires access

Cournot and Bertrand Competition in a Differentiated Duopoly with Endogenous Technology Adoption

Hongkun Ma, X. Henry Wang, Chenhang Zeng

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Abstract

We study firms' endogenous technology adoption in a two-stage differenti- ated duopoly game. Firms choose technologies from a continuous technology set in stage one, and engage in either Cournot or Bertrand competition in stage two. If the technology set is sufficiently convex and the degree of product dif- ferentiation is sufficiently high, we find that (i) Bertrand competition leads to more interior technology choices than Cournot competition, and (ii) Cournot competition induces a greater incentive to innovate for both firms. Further- more, welfare analysis shows that Bertrand competition always yields higher consumer surplus and social welfare than Cournot competition although the marginal cost of production is higher.

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What this paper is about

We study firms' endogenous technology adoption in a two-stage differenti- ated duopoly game. Firms choose technologies from a continuous technology set in stage one, and engage in either Cournot or Bertrand competition in stage two. If the technology set is sufficiently convex and the degree of product dif- ferentiation is sufficiently high, we find that (i) Bertrand competition leads to more interior technology choices than Cournot competition, and (ii) Cournot competition induces a greater incentive to innovate for both firms. Further- more, welfare analysis shows that Bertrand competition always yields higher consumer surplus and social welfare than Cournot competition although the marginal cost of production is higher.

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Available abstract

We study firms' endogenous technology adoption in a two-stage differenti- ated duopoly game. Firms choose technologies from a continuous technology set in stage one, and engage in either Cournot or Bertrand competition in stage two. If the technology set is sufficiently convex and the degree of product dif- ferentiation is sufficiently high, we find that (i) Bertrand competition leads to more interior technology choices than Cournot competition, and (ii) Cournot competition induces a greater incentive to innovate for both firms. Further- more, welfare analysis shows that Bertrand competition always yields higher consumer surplus and social welfare than Cournot competition although the marginal cost of production is higher.

Key concepts: Cournot competition, Bertrand competition, Bertrand paradox (economics), Duopoly, Economics, Microeconomics, Product differentiation, Competition (biology)

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