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Optimal Bilateral Trade of Multiple Objects

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  • Eilat, Ran
  • Paunzer, Ady

Abstract

We consider a private-values buyer-seller problem with multiple objects. Valuations are binary, i.i.d., and such that the problem does not have a trivial solution. We characterize mechanisms that span the Pareto frontier. These have a very simple form: Call the seller "good" if he has a low valuation and "bad" if he has a high valuation. Call the buyer "good" if he has a high valuation and "bad" if he has a low valuation. For each object, if both say "bad" - there is no trade. If both say "good" - they trade. If agent j says "bad" and the other says "good", they trade only if the number of good objects in j's announcement is above a certain threshold (at the threshold itself they trade with probability between 0 and 1). The thresholds depend on the weights given to each agent in the designer's objective function: as she leans more towards one of the agents, his trading threshold weakly decreases, and the rival's weakly increases.

Suggested Citation

  • Eilat, Ran & Paunzer, Ady, 2008. "Optimal Bilateral Trade of Multiple Objects," Foerder Institute for Economic Research Working Papers 275716, Tel-Aviv University > Foerder Institute for Economic Research.
    • Handle: RePEc:ags:isfiwp:275716
    DOI: 10.22004/ag.econ.275716
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    References listed on IDEAS

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