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Sequential dictatorship rules in multi-unit objectassignment problems with money

Author

Listed:
  • Masahiro KAWASAKI
  • Ryosuke SAKAI
  • Tomoya KAZUMURA

Abstract

We study consistency in multi-unit object allocation problems with money. Objects are identical and each agent has a multi-demand and quasi-linear preferences. We consider the class of weak object monotonic preferences and that of single-peaked preferences. We first show that on those domains, if a rule satisfies consistency, strategyproofness, individual rationality, no subsidy, non-wasteful tie-breaking, and minimal tradability, then it is a sequential dictatorship rule. Since not all sequential dictatorship rule are strategy-proof and consistent, we then focus on a specific class of sequential dictatorship rules which we call sequential dictatorship rules with lowest tie-breaking. On the weakly object monotonic domain, when the reservation prices are increasing in the number of objects, sequential dictatorship rules with lowest tie-breaking satisfy consistency and independence of unallocated objects if and only if there is a common priority ordering for more than one object and this is an acyclic ordering of the priority ordering for one object. We also show that this condition is a necessary and sufficient condition for a sequential dictatorship rule with lowest tie-breaking to satisfy consistency and independence of unallocated objects on the single-peaked domain.

Suggested Citation

  • Masahiro KAWASAKI & Ryosuke SAKAI & Tomoya KAZUMURA, 2023. "Sequential dictatorship rules in multi-unit objectassignment problems with money," Discussion papers e-23-007, Graduate School of Economics , Kyoto University.
    • Handle: RePEc:kue:epaper:e-23-007
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    References listed on IDEAS

    as
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    More about this item

    Keywords

    Consistency; Strategy-proofness; sequential dictatorship rule; serial dictatorship rule; weakly object monotonic preferences; single-peaked preferences; acyclicity.;
    All these keywords.

    JEL classification:

    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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