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Price Instability in Multi-Unit Auctions

Author

Listed:
  • Anderson, Edward

    (University of Sydney)

  • Holmberg, Pär

    (Research Institute of Industrial Economics (IFN))

Abstract
We consider a procurement auction, where each supplier has private costs and submits a stepped supply function. We solve for a Bayesian Nash equilibrium and show that the equilibrium has a price instability in the sense that a minor change in a supplier.s cost sometimes result in a major change in the market price. In wholesale electricity markets, we predict that the bid price of the most expensive production unit can change by 1-10% due to price instability. The price instability is reduced when suppliers have more steps in their supply functions for a given production technology. In the limit, as the number of steps increases and the cost uncertainty decreases, the Bayesian equilibrium converges to a pure-strategy NE without price instability, the Supply Function Equilibrium (SFE).

Suggested Citation

  • Anderson, Edward & Holmberg, Pär, 2015. "Price Instability in Multi-Unit Auctions," Working Paper Series 1095, Research Institute of Industrial Economics.
    • Handle: RePEc:hhs:iuiwop:1095
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    References listed on IDEAS

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    Cited by:

    1. Edward Anderson & Pär Holmberg, 2023. "Multi-unit auctions with uncertain supply and single-unit demand," Working Papers EPRG2310, Energy Policy Research Group, Cambridge Judge Business School, University of Cambridge.
    2. Bohland, Moritz & Schwenen, Sebastian, 2022. "Renewable support and strategic pricing in electricity markets," International Journal of Industrial Organization, Elsevier, vol. 80(C).
    3. Moritz Bohland & Sebastian Schwenen, 2020. "Technology Policy and Market Structure: Evidence from the Power Sector," Discussion Papers of DIW Berlin 1856, DIW Berlin, German Institute for Economic Research.
    4. Holmberg, Pär & Tangerås, Thomas & Ahlqvist, Victor, 2018. "Central- versus Self-Dispatch in Electricity Markets," Working Paper Series 1257, Research Institute of Industrial Economics, revised 27 Mar 2019.
    5. Qunwei Wang & Cheng Cheng & Dequn Zhou, 2020. "Multi-round auctions in an emissions trading system considering firm bidding strategies and government regulations," Mitigation and Adaptation Strategies for Global Change, Springer, vol. 25(7), pages 1403-1421, October.

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    More about this item

    Keywords

    Multi-unit auctions; indivisible unit; price instability; Bayesian Nash equilibria; supply function equilibria; convergence of Nash equilibria; whole-sale electricity markets;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • L94 - Industrial Organization - - Industry Studies: Transportation and Utilities - - - Electric Utilities

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