R&D and production behaviour of asymmetric duopoly subject to knowledge spillovers (original) (raw)

R&D and Production Behavior of Asymmetric Duopoly Subject to Knowledge Spillovers

2000

We construct an asymmetri c duopolistic R&D and production behavior model subject to knowledge spillovers. This model is an extension to the symmetric model of d'Aspremont and Jacquemin (A&J (1988)) and aims to determine the cooperative and non-cooperative R&D strategies for two agents of different size. The paper concludes that the introduction of asymmetry into the A&J (1988) model leads

Cooperation and Competition in a Duopoly R&D Market

In a general setting with uncertainty and spillovers in R&D activity, we consider the incentive to cooperate among firms at any or all of the following three stages. Firms can jointly agree on the level of R&D expenditures, they can set up joint research facilities, and/or they can engage in an information sharing agreements, by which they agree to share any findings with the other firm. We compare expenditures on R&D, profit levels, and welfare levels across the different possible cooperative and competitive setups and offer antitrust implications. Our model differs from previous analyses in three important ways. First, most studies consider only research aimed at lowering production costs, and therefore consider only situations where total profits fall as spillovers increase. We allow for the possibility of product innovation, and define the concepts of offsetting spillovers (falling total profits) and incremental spillovers (when total profits increase as spillovers increase). Se...

R&D cooperation with asymmetric spillovers

Canadian Journal of Economics/Revue canadienne d'<html_ent glyph="@eacute;" ascii="e"/>conomique, 2005

This paper analyses R&D cooperation with asymmetric spillovers. It is shown that the change in R&D by a firm following cooperation is proportional to the gap between the spillover rate transmitted by that firm and a critical level of spillovers. In consequence, cooperation increases total R&D investments when the average of firms' spillover rates is sufficiently high. Whereas with symmetric spillovers cooperation is always beneficial to firms, with asymmetric spillovers only a very limited range of spillovers makes cooperation beneficial to both firms. Asymmetries also create a potential conflict between maximizing total welfare and maximizing effective cost reduction. JEL classification: L13, O33

Cooperation and competition in an R&D market with spillovers

Research in Economics, 2005

In a general setting with uncertainty and spillovers in R&D activity, we consider the incentive to cooperate among firms at any or all of the following three stages. Firms can jointly agree on the level of R&D expenditures, they can set up joint research facilities, and/or they can engage in an information sharing agreements, by which they agree to share any findings with the other firm. We compare expenditures on R&D, profit levels, and welfare levels across the different possible cooperative and competitive setups and offer antitrust implications. Our model differs from previous analyses in three important ways. First, most studies consider only research aimed at lowering production costs, and therefore consider only situations where total industry profits fall as spillovers increase. We allow for the industry profits to increase, and define the concepts of offsetting spillovers (falling total profits) and incremental spillovers (when total profits increase as spillovers increase). Second, we consider a wider variety of cooperation possibilities than do most prior studies. Finally, we use far more general functional forms than is usual in the literature.

Cooperation and competition in an R&D market with spillovers

Ssrn Electronic Journal, 2003

In a general setting with uncertainty and spillovers in R&D activity, we consider the incentive to cooperate among firms at any or all of the following three stages. Firms can jointly agree on the level of R&D expenditures, they can set up joint research facilities, and/or they can engage in an information sharing agreements, by which they agree to share any findings with the other firm. We compare expenditures on R&D, profit levels, and welfare levels across the different possible cooperative and competitive setups and offer antitrust implications. Our model differs from previous analyses in three important ways. First, most studies consider only research aimed at lowering production costs, and therefore consider only situations where total industry profits fall as spillovers increase. We allow for the industry profits to increase, and define the concepts of offsetting spillovers (falling total profits) and incremental spillovers (when total profits increase as spillovers increase). Second, we consider a wider variety of cooperation possibilities than do most prior studies. Finally, we use far more general functional forms than is usual in the literature.

Research Joint Ventures with Asymmetric Spillovers and Symmetric Contributions

Economics of Innovation and New Technology, 2007

The paper proposes a new type of R&D cooperation between firms endowed with asymmetric spillovers, which we call symmetric Research Joint Venture (RJV) cartelization, based on reciprocity in information exchange. In this setting, firms coordinate their R&D expenditures and also share information, but such that the asymmetric spillover rates are increased through cooperation by equal amounts. It is found that this type of cooperation reduces R&D investment by the low spillover firm when its spillover is sufficiently low and the spillover of its competitor is sufficiently high. But it always increases the R&D of the high spillover firm, as well as total R&D (and hence effective cost reduction and welfare). A firm prefers no cooperation to symmetric RJV cartelization if its spillover rate is very high and the spillover rate of its competitor is intermediate. The profitability of symmetric RJV cartelization relative to other modes of cooperation is analyzed. It is found that symmetric RJV cartelization constitutes an equilibrium for a very wide range of spillovers, namely, when asymmetries between spillovers are not too large. As these asymmetries increase, the equilibrium goes from symmetric RJV cartelization, to RJV cartelization, to R&D competition, to R&D cartelization.

In A Model Of Differentiated Duopoly With R&D

2000

We construct a model of differentiated duopoly with process R&D when goods are substitutes. In the first stage firms decide their technologies (i.e., the average costs of production) and in the second stage they compete in quantities or prices. We have shown that not only the Cournot firms invest a larger amount on R&D than the Bertrand firms, but, contrary

Research Joint Ventures Cartelization with Asymmetric R&D Spillovers

The paper analyzes the profitability of R&D cooperation under asymmetric spillovers. It is shown that a firm prefers R&D competition to RJV cartelization when its own spillover rate is low and the spillover rate of its competitor is high. While it prefers R&D cartelization to RJV cartelization when the spillover rate of its competitor is sufficiently high. The equilibrium configuration is RJV cartelization for low spillover asymmetries, R&D competition for intermediate asymmetries, and R&D cartelization for high asymmetries.

Cooperation and competition in an R&D market with spillovers." Research in Economics 59(1

2005

In a general setting with uncertainty and spillovers in R&D activity, we consider the incentive to cooperate among firms at any or all of the following three stages. Firms can jointly agree on the level of R&D expenditures, they can set up joint research facilities, and/or they can engage in an information sharing agreements, by which they agree to share any findings with the other firm. We compare expenditures on R&D, profit levels, and welfare levels across the different possible cooperative and competitive setups and offer antitrust implications. Our model differs from previous analyses in three important ways. First, most studies consider only research aimed at lowering production costs, and therefore consider only situations where total industry profits fall as spillovers increase. We allow for the industry profits to increase, and define the concepts of offsetting spillovers (falling total profits) and incremental spillovers (when total profits increase as spillovers increase)...