Geodesic
Social welfare under oligopoly: does the strengthening of competition in production increase consumers’ well-being?
Contributions to game theory and management, Tome 10 (2017), pp. 233-244

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The paper studies the detailed comparison of the Social welfare (indirect utility) under three types of imperfect competition in a general equilibrium model: quantity oligopoly (Cournot), price oligopoly (Bertrand) and monopolistic competition (Chamberlin). The folk wisdom implies that an increasing toughness of competition in sequence Cournot–Bertrand–Chamberlin results in increasing of consumers’ welfare (indirect utility). We show that this is not true in general. This is accomplished in a simple general equilibrium model where consumers are endowed with separable preferences. We find the sufficient condition in terms of the representative consumer preference providing the “intuitive” behavior of the indirect utility and show that this condition satisfy the classes of utility functions, which are commonly used in examples (e.g., CES, CARA and HARA). Moreover, we provide a series of numerical examples (and analytically verifiable conditions as well), which illustrate that violation of this condition may results in “counter-intuitive” behavior of indirect utility, when the weakest level of competition (Cournot) provides the highest amount of the consumer’s welfare.
Keywords: Cournot competition, Bertrand competition, free entry, Lerner index, indirect utility. 
@article{CGTM_2017_10_a15,
     author = {Mathieu Parenti and Alexander P. Sidorov and Jacques-Fran\c{c}ois Thisse},
     title = {Social welfare under oligopoly: does the strengthening of competition in production increase consumers{\textquoteright} well-being?},
     journal = {Contributions to game theory and management},
     pages = {233--244},
     publisher = {mathdoc},
     volume = {10},
     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CGTM_2017_10_a15/}
}
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Mathieu Parenti; Alexander P. Sidorov; Jacques-François Thisse. Social welfare under oligopoly: does the strengthening of competition in production increase consumers’ well-being?. Contributions to game theory and management, Tome 10 (2017), pp. 233-244. http://geodesic.mathdoc.fr/item/CGTM_2017_10_a15/