Cross Ownership Versus Merger Under Product Differentiation
Summary
This paper compares passive cross ownership (CO) — noncontrolling shareholdings among rivals that create partial cooperation — with full horizontal mergers in oligopolistic markets with horizontally differentiated products.
Under Cournot (quantity) competition the authors find that insiders (the cooperating firms) generally prefer symmetric CO to a merger. CO lets insiders fine-tune the degree of cooperation so they can balance the profit gains from internalised competition against the harmful expansion of outsiders’ output; as a result CO can be profitable even when a merger is not. The result holds under symmetric and asymmetric costs and for both symmetric and unilateral (asymmetric) CO, provided product differentiation is sufficiently large or enough insiders participate. CO can also raise consumer surplus and total welfare relative to both merger and noncooperation when there is cost asymmetry combined with technology transfer among insiders.
By contrast, under Bertrand (price) competition insiders do not prefer CO to a merger: strategic complementarity in prices makes full cooperation (merger) at least as good as partial cooperation.
The paper supports these conclusions with analytic results and illustrative linear-demand examples, and draws implications for antitrust policy and future empirical work (e.g. predicting more CO in Cournot-like markets and more mergers in Bertrand-like markets).
Key Points
- Cross ownership (CO) creates partial cooperation among rivals and can be more profitable for insiders than merging under Cournot competition.
- CO is especially attractive when products are sufficiently differentiated or when many insiders participate; it can be profitable even when a merger is not.
- Results hold with symmetric and asymmetric marginal costs; unilateral (asymmetric) CO can also outperform mergers depending on differentiation.
- Under Cournot, CO may increase consumer surplus and welfare versus both merger and noncooperation if insiders exchange technology (cost transfer) and cost asymmetry is meaningful.
- Under Bertrand competition, CO does not beat a merger — strategic complementarity in prices makes full cooperation superior.
- Policy implication: antitrust authorities might sometimes prefer allowing CO (or scrutinise mergers differently) in Cournot-like markets, while mergers remain more attractive in Bertrand-like markets.
- The paper offers testable empirical hypotheses about where CO versus merger choices will be observed in practice.
Why should I read this?
Quick take: if you care about M&A, competition policy or how ownership structures shape market outcomes, read this. The paper flips the usual merger-centric view: sometimes owning a slice of your rival beats buying them outright — especially in quantity-setting markets with differentiated products. It’s concise, analytical and gives tidy, testable predictions that matter for regulators and strategists. We’ve done the heavy reading for you — if antitrust or strategic ownership is in your remit this one’s a must-see.
Context and relevance
Puts itself in the industrial-organisation and antitrust literature that traditionally compares only noncooperation and full merger. By formally modelling passive CO, the paper fills a gap between theory and common empirical facts (cross-shareholdings in autos, banking, telecoms, tech). Its conclusions matter to economists and policy-makers because they change the welfare and enforcement calculus: CO can sometimes be welfare-enhancing relative to a merger, especially when technology transfer reduces costs.
The main relevance is practical and testable: expect CO to be relatively more common in Cournot-like industries (where firms compete on quantities and products are differentiated) and mergers to dominate in Bertrand-like industries (price competition). That gives empirical researchers and regulators clear hypotheses to pursue.
Source
Source: https://onlinelibrary.wiley.com/doi/10.1111/jems.70000?af=R
