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Double auctions with no-loss constrained traders

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Abstract

Do hard budget constraints work in favour or against truth telling in double auctions? McAfee (1992) constructed a simple double auction mechanism (MDA), which is strategyproof and minimally inefficient, but may resort to dual prices, where the difference between prices is channelled as a surplus to the market maker, preventing MDA from achieving a balanced budget. We construct a variant of MDA in which no-loss constraints play a major positive role. Our variant of MDA is also strategyproof, as efficient as MDA but improves on it by achieving a balanced budget via always having a uniform price.

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Notes

  1. Matters get more complex with multiunit demands and supplies [as in Loertscher and Mezzetti (2014)] or with interdependent values [as in Kojima and Yamashita (2014)]. For an excellent survey on the design of two-sided markets, see Loertscher et al. (2015).

  2. We are thankful to Preston McAfee for sharing this observation with us. As in a world with NLC traders, MDA maintains all its properties, it follows that in such a world our mechanism is more efficient than MDA in ex-ante sense if welfare is utilitarian. However, as explained in Sect. 4, our mechanism ceases to be strategyproof in a world where traders are not NLC.

  3. As pointed out by a referee, there are many implementations in experiments of private-values markets in which bidding above value or below cost was ruled out by the decision interface.

  4. We thank an anonymous referee for suggesting this to us.

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Correspondence to Jaideep Roy.

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We thank Sandro Brusco, Nick Feltovich, Takashi Kunimoto, Simon Loertscher, Preston McAfee, Arunava Sen, Steven Williams and two anonymous referees for useful comments and suggestions.

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Anbarci, N., Roy, J. Double auctions with no-loss constrained traders. Theory Decis 84, 1–9 (2018). https://doi.org/10.1007/s11238-017-9627-7

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  • DOI: https://doi.org/10.1007/s11238-017-9627-7

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