Do Downstream Firms Strategically Accept Upstream Equity Participation?

This paper examines downstream firms’ incentives to accept equity participation by an upstream supplier in a vertically related market. We develop a multi-stage model in which the upstream firm offers an equity stake and sets input prices under price discrimination, while downstream firms subsequently compete à la Cournot. We show that upstream equity ownership induces the upstream firm to lower input prices by partially internalizing downstream profits. This mechanism generates a positive market-expansion effect for downstream firms through lower input costs, while equity ownership simultaneously creates a negative equity-dilution effect by reducing the share of profits retained by downstream firms. When products are homogeneous, the equity-dilution effect dominates the market-expansion effect, leading downstream firms into a Prisoner’s Dilemma. In contrast, under product differentiation, when the ownership share is sufficiently small, the market-expansion effect dominates the equity-dilution effect, resulting in higher downstream profits. In this case, accepting equity participation can be individually optimal for downstream firms, even though mutual acceptance may reduce their retained profits.

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Publication Details

Journal
Games
Published
2026-04-27
DOI
https://doi.org/10.3390/g17030021
Primary Topic
Merger and Competition Analysis
Type
article
Field-Weighted Citation Impact
0.00

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article

Do Downstream Firms Strategically Accept Upstream Equity Participation?

Jen‐Yao Lee, Chiu-Hui Li
Games
Merger and Competition Analysis
article

Do Downstream Firms Strategically Accept Upstream Equity Participation?

Jen‐Yao Lee, Chiu-Hui Li
article en

Abstract

This paper examines downstream firms’ incentives to accept equity participation by an upstream supplier in a vertically related market. We develop a multi-stage model in which the upstream firm offers an equity stake and sets input prices under price discrimination, while downstream firms subsequently compete à la Cournot. We show that upstream equity ownership induces the upstream firm to lower input prices by partially internalizing downstream profits. This mechanism generates a positive market-expansion effect for downstream firms through lower input costs, while equity ownership simultaneously creates a negative equity-dilution effect by reducing the share of profits retained by downstream firms. When products are homogeneous, the equity-dilution effect dominates the market-expansion effect, leading downstream firms into a Prisoner’s Dilemma. In contrast, under product differentiation, when the ownership share is sufficiently small, the market-expansion effect dominates the equity-dilution effect, resulting in higher downstream profits. In this case, accepting equity participation can be individually optimal for downstream firms, even though mutual acceptance may reduce their retained profits.

GamesVol. 17(3)
University of Science and Technology (YE), Kaohsiung Medical University (TW), Min-Hwei College of Health Care Management (TW), Kaohsiung Municipal Hsiao-Kang Hospital (TW), National Kaohsiung University of Science and Technology (TW)
National Kaohsiung University of Science and Technology
Peace, Justice and strong institutions, Reduced inequalities
Openalex Percentile: Top 3%
Merger and Competition Analysis
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