Abstract
This paper provides the smallest upper bound or the critical level for a Cournot firm's market share below which its cost reduction reduces welfare. It shows that a firm's cost reduction increases social welfare with nonlinear demand and nonlinear costs if and only if its market share is above the critical level, which is equal to a weighted sum of the other firms' market shares. The paper also reports similar results for technological spill-overs within any given set of firms.
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Smythe, D.J., Zhao, J. The Complete Welfare Effects of Cost Reductions in a Cournot Oligopoly. J Econ 87, 181–193 (2006). https://doi.org/10.1007/s00712-005-0166-2
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DOI: https://doi.org/10.1007/s00712-005-0166-2