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Equilibria in a Japanese-English Auction with Discrete Bid Levels for the Wallet Game

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Abstract

We consider the set-up of a Japanese-English auction with exogenously fixed discrete bid levels for the wallet game with two bidders. We prove that bidding twice the signal - the equilibrium strategy with continuous bid levels - is never an equilibrium in this set up. We show that partition equilibria exist that may be separating or pooling. We illustrate some separating and pooling equilibria with two and three discrete bid levels; we also compare the revenues of the seller from these equilibria and thereby find the optimal bid levels in these cases.

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  • Gon alves, Ricardo & Ray, Indrajit, 2016. "Equilibria in a Japanese-English Auction with Discrete Bid Levels for the Wallet Game," Cardiff Economics Working Papers E2016/13, Cardiff University, Cardiff Business School, Economics Section.
    • Handle: RePEc:cdf:wpaper:2016/13
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    More about this item

    Keywords

    Japanese-English auctions; wallet game; discrete bids; partitions; pooling equilibrium; separating equilibrium;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions

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