Horizontal mergers with Bertrand competition and convex costs

IF 0.5 4区 经济学 Q4 ECONOMICS Mathematical Social Sciences Pub Date : 2024-01-24 DOI:10.1016/j.mathsocsci.2024.01.010
Elpiniki Bakaouka , Marc Escrihuela-Villar , Walter Ferrarese
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引用次数: 0

Abstract

We discuss horizontal mergers in a homogeneous good industry where firms compete à la Bertrand with increasing marginal production costs. We show that profitable mergers can occur even for lower post-merger prices with respect to the pre-merger scenario, thus implying an increase in consumer surplus. The driving force of the result is the ability of the merged entity cutting production costs by sharing the output among its plants. This output rationalization effect can compensate for the revenue loss due to the merged entity producing less than the cumulated pre-merger production of the merging parties.

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贝特朗竞争和凸成本下的横向兼并
我们讨论了同质商品行业中的横向兼并问题,在该行业中,企业以边际生产成本递增的方式进行伯特兰式竞争。我们的研究表明,即使合并后的价格低于合并前的价格,也会出现有利可图的合并,从而意味着消费者剩余的增加。这一结果的驱动力在于合并后的实体能够通过在其工厂之间共享产出来削减生产成本。这种产出合理化效应可以弥补因合并后实体的产量低于合并前各方累计产量而造成的收入损失。
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来源期刊
Mathematical Social Sciences
Mathematical Social Sciences 数学-数学跨学科应用
CiteScore
1.30
自引率
0.00%
发文量
55
审稿时长
59 days
期刊介绍: The international, interdisciplinary journal Mathematical Social Sciences publishes original research articles, survey papers, short notes and book reviews. The journal emphasizes the unity of mathematical modelling in economics, psychology, political sciences, sociology and other social sciences. Topics of particular interest include the fundamental aspects of choice, information, and preferences (decision science) and of interaction (game theory and economic theory), the measurement of utility, welfare and inequality, the formal theories of justice and implementation, voting rules, cooperative games, fair division, cost allocation, bargaining, matching, social networks, and evolutionary and other dynamics models. Papers published by the journal are mathematically rigorous but no bounds, from above or from below, limits their technical level. All mathematical techniques may be used. The articles should be self-contained and readable by social scientists trained in mathematics.
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