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    Strategy-proof size improvement: is it possible?

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    Scandinavian J Economics - 2022 - Afacan - Strategy‐proof size improvement is it possible.pdf (333.9Kb)
    Date
    2023
    Author
    Afacan, Mustafa O˘guz
    Dur, Umut
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    Abstract
    The number of assigned agents (i.e., size) is an important parameter in object allocations.While size maximality clashes with individual rationality and strategy-proofness, it can stillbe possible to increase the size over a mechanism while keeping these properties. To pursuethis research, we devise a size comparison criterion to investigate the possibility of sizeincrease. A mechanism 𝜓 size-wise dominates another mechanism 𝜙 if the latter neverassigns more agents than the former, and at some problem, 𝜓 assigns more agents than 𝜙.We obtain arguably mild conditions for a mechanism to not be dominated size-wise by anindividually rational and strategy-proof mechanism. Moreover, whenever there are at least asmany objects as the total number of agents, we find conditions, different from those previouslymentioned, for a mechanism to not be dominated size-wise by an individually rational andgroup strategy-proof mechanism. These results have implications for deferred-acceptance,top trading cycles, efficiency-adjusted deferred-acceptance, serial dictatorship, and Bostonmechanisms.
    DOI/handle
    http://dx.doi.org/10.1111/sjoe.12515
    http://hdl.handle.net/10576/57142
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    • Finance & Economics [‎437‎ items ]

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