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Minimal Maskin Monotonic Extensions of Tournament Solutions [PDF]
In this paper we give a general characterization of the minimal Maskin monotonic extensions of Condorcet consistent tournament solutions. We then compute the minimal Maskin monotonic extensions for the following rules: The top-cycle, the uncovered set, the iterated uncovered set, the minimal covering set and the Copeland rule. Moreover, we characterize
Pelin Pasin+2 more
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Maskin monotonicity in economies with indivisible goods and money
Abstract We consider the problem of allocating indivisible objects with monetary transfers. We show that any Maskin monotonic allocation rule exhibits strong asymmetry in treating agents even on finitely restricted preference domains.
Yuji Fujinaka, Toyotaka Sakai
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Maskin monotonic aggregation rules
Given a society confronting two alternatives, we show that the set of anonymous, neutral and Maskin monotonic aggregation rules coincides with the family of absolute qualified majority rules. We also explore the effect of incorporating Pareto optimality in our characterization.
Göksel Aşan, M. Remzi Sanver
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Maskin monotonic aggregation rules and partial anonymity
Abstract In the case of two alternatives, we characterize the class of aggregation rules that satisfy Maskin monotonicity, neutrality, and partial anonymity.
Robert Powers
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Maskin monotonicity and infinite individuals
Abstract This paper examines the logical relationship among Maskin monotonicity, independent person-by-person monotonicity, independent weak monotonicity, strategy-proofness, and coalitional strategy-proofness in a society with infinite individuals.
Susumu Cato
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On constant maskin monotonic social choice functions
Abstract A social choice function satisfying a “dual dominance” condition is Maskin monotonic if and only if it is constant. Hence, any non-constant social choice function satisfying dual dominance is not Nash implementable. Among the important examples are all social choice functions on unrestricted domains.
Tatsuyoshi Saijo
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We consider an allocation problem with indivisible goods, and provide a necessary and sufficient condition for weak Maskin monotonic allocation rules under non-wastefulness. The condition is based on robustness to group manipulation. Specifically, we introduce a new condition called the no improvement property of unmatched agents which means that ...
Kenzo Imamura, Keisuke Bando
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Maximal Domains for Maskin Monotone Pareto Optimal and Anonymous Choice Rules
2010We consider domain restrictions that allow for Maskin monotone Pareto optimal and anonymous choice rules. The set of precisely one agent is restricted as minimal as possible yielding in this way a maximal domains allowing for such functions. In view of the impossibility results like Gibbard Satterthwaite, these maximal domains somehow bring about ...
Ton Storcken, Olivier Bochet
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Mean field games master equations with nonseparable Hamiltonians and displacement monotonicity
Annals of Probability, 2022exaly
Monotonicity Properties of Physical Network Flows and Application to Robust Optimal Allocation
Proceedings of the IEEE, 2020Anatoly Zlotnik+2 more
exaly