The Optimal Risk Choice of Cooperative and Noncooperative R&D With Cross‐Ownership

This paper develops a duopoly model to examine firms' optimal R&D risk choices under cooperative and non‐cooperative R&D with cross‐ownership. We find that firms adopt higher R&D risks in cooperative settings than in non‐cooperative ones. Moreover, equilibrium R&D risks increase with cross‐ownership, and a firm assumes higher risk when it holds a smaller equity stake in its competitor. Our results also reveal that the socially optimal R&D risk exceeds the private optimum. Under cooperative R&D, this risk gap widens as cross‐ownership rises, whereas in non‐cooperative R&D, its trend depends on product substitutability. Extending the model to unilateral ownership, we show that the firm partially owned by its competitor takes on higher R&D risk than the owning firm, though both assume lower risk compared to cross‐ownership. Finally, we demonstrate that R&D risk is higher under Bertrand competition than under Cournot competition. This study contributes to the literature by highlighting the role of ownership structure in shaping firms' risk‐taking behaviors in R&D and offering new insights into the trade‐off between cooperation and competition in innovation.