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Concentration-Based Inference for Evaluating Horizontal Mergers

General Economics 2025-09-24 v5 Economics

Abstract

Antitrust authorities routinely rely on market concentration measures to assess the potential adverse effects of mergers on consumer welfare. Using a first-order approximation argument with logit and CES demand, I derive the relationship between the welfare effect of a merger on consumer surplus and the change in the Herfindahl-Hirschman Index (HHI). My results suggest that merger harm is correlated with the merger-induced change in HHI, and the proportionality coefficient depends on the price responsiveness parameter, market size, and the distribution of market shares within and across the merging firms. I present numerical validation of my formula along with an empirical illustration.

Cite

@article{arxiv.2407.12924,
  title  = {Concentration-Based Inference for Evaluating Horizontal Mergers},
  author = {Paul S. Koh},
  journal= {arXiv preprint arXiv:2407.12924},
  year   = {2025}
}
R2 v1 2026-06-28T17:45:03.136Z