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Strategy-proof allocation with outside option

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  • Jun Zhang

Abstract

Strategy-proof mechanisms are widely used in market design. In an abstract allocation framework where outside options are available to agents, we obtain two results for strategy-proof mechanisms. They provide a unified foundation for several existing results in distinct models and imply new results in some models. The first result proves that, for individually rational and strategy-proof mechanisms, pinning down every agent's probability of choosing his outside option is equivalent to pinning down a mechanism. The second result provides a sufficient condition for two strategy-proof mechanisms to be equivalent when the number of possible allocations is finite.

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  • Jun Zhang, 2020. "Strategy-proof allocation with outside option," Papers 2009.05311, arXiv.org, revised Jan 2021.
  • Handle: RePEc:arx:papers:2009.05311
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    File URL: http://arxiv.org/pdf/2009.05311
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