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Mechanism Design for Efficient Nash Equilibrium in Oligopolistic Markets

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  • Kaiying Lin
  • Beibei Wang
  • Pengcheng You

Abstract

This paper investigates the efficiency loss in social cost caused by strategic bidding behavior of individual participants in a supply-demand balancing market, and proposes a mechanism to fully recover equilibrium social optimum via subsidization and taxation. We characterize the competition among supply-side firms to meet given inelastic demand, with linear supply function bidding and the proposed efficiency recovery mechanism. We show that the Nash equilibrium of such a game exists under mild conditions, and more importantly, it achieves the underlying efficient supply dispatch and the market clearing price that reflects the truthful system marginal production cost. Further, the mechanism can be tuned to guarantee self-sufficiency, i.e., taxes collected counterbalance subsidies needed. Extensive numerical case studies are run to validate the equilibrium analysis, and we employ individual net profit and a modified version of Lerner index as two metrics to evaluate the impact of the mechanism on market outcomes by varying its tuning parameter and firm heterogeneity.

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  • Kaiying Lin & Beibei Wang & Pengcheng You, 2021. "Mechanism Design for Efficient Nash Equilibrium in Oligopolistic Markets," Papers 2106.11120, arXiv.org.
    • Handle: RePEc:arx:papers:2106.11120
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    References listed on IDEAS

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    1. Ramesh Johari & John N. Tsitsiklis, 2011. "Parameterized Supply Function Bidding: Equilibrium and Efficiency," Operations Research, INFORMS, vol. 59(5), pages 1079-1089, October.
    2. Daskalakis, George & Markellos, Raphael N., 2009. "Are electricity risk premia affected by emission allowance prices? Evidence from the EEX, Nord Pool and Powernext," Energy Policy, Elsevier, vol. 37(7), pages 2594-2604, July.
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