Strategy-proof allocation with outside option

Jun Zhang

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arXiv · 2009.05311

Strategy-proof allocation with outside option

Jun Zhang

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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. 2020-09-11. Strategy-proof allocation with outside option. https://arxiv.org/abs/2009.05311

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