Contest vs. Competition in Cournot Duopoly: Schaffer's Paradox

Fuente: arXiv
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Main Authors: Amir, Rabah, Evstigneev, Igor V., Zhitlukhin, Mikhail V.
Format: Preprint
Published: 2025
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author Amir, Rabah
Evstigneev, Igor V.
Zhitlukhin, Mikhail V.
author_facet Amir, Rabah
Evstigneev, Igor V.
Zhitlukhin, Mikhail V.
contents The paper compares two types of industrial organization in the Cournot duopoly: (a) the classical one, where the market players maximize profits and the outcome of the game is a Cournot-Nash equilibrium; (b) a contest in which players strive to win a fixed prize/bonus employing unbeatable strategies. Passing from (a) to (b) leads to a perfect competition with zero profits of the players (Schaffer's paradox). Transition from (b) to (a) results in a substantial decline in the production output, which also seems paradoxical, as it is commonly accepted that competition increases efficiency. We examine these phenomena in two versions of the Cournot model: with a homogeneous good and with differentiated goods.
format Preprint
id arxiv_https___arxiv_org_abs_2509_00960
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Contest vs. Competition in Cournot Duopoly: Schaffer's Paradox
Amir, Rabah
Evstigneev, Igor V.
Zhitlukhin, Mikhail V.
General Economics
Economics
The paper compares two types of industrial organization in the Cournot duopoly: (a) the classical one, where the market players maximize profits and the outcome of the game is a Cournot-Nash equilibrium; (b) a contest in which players strive to win a fixed prize/bonus employing unbeatable strategies. Passing from (a) to (b) leads to a perfect competition with zero profits of the players (Schaffer's paradox). Transition from (b) to (a) results in a substantial decline in the production output, which also seems paradoxical, as it is commonly accepted that competition increases efficiency. We examine these phenomena in two versions of the Cournot model: with a homogeneous good and with differentiated goods.
title Contest vs. Competition in Cournot Duopoly: Schaffer's Paradox
topic General Economics
Economics
url https://arxiv.org/abs/2509.00960