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Article name On the Issue of SFE Correspondence to Expected Behavior at the Uniform Price Auction
Authors Vasin A.A.Doctor of Physics and Mathematics, Professor vasin@cs.msu.su
Gusev A.G.Postgraduate student of the Department of Operations Research, Faculty of Computational Mathematics and Cybernetics ag.ogk1@gmail.com
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UDK УДК 519.8
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Annotation We consider a game corresponding to the uniform price supply function auction for homogenous goods. For a symmetric oligopoly with uncertain demand depending on a random parameter, Klemperer and Mayer (1989) established the existence and studied the properties of the supply function equilibrium (SFE) under general assumption on the cost and demand functions of the market. We consider the best reply dynamics for a repeated auction game and show that under a linear marginal cost function, it converges to the SFE with a geometric rate. However, for a fixed marginal cost and limited production capacity, the best reply may not exist at some stage, so the dynamics do not converge to SFE in general.
Key words supply function auction, best reply dynamics.
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Full articleOn the Issue of SFE Correspondence to Expected Behavior at the Uniform Price Auction