Consistency and its converse: an introduction

DOI10.1007/s10058-011-0109-zzbMath1233.91163OpenAlexW2018919441WikidataQ59972719 ScholiaQ59972719MaRDI QIDQ766249

William Thomson

Publication date: 23 March 2012

Published in: Review of Economic Design (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/1802/2427

zbMATH Keywords

consistencyconverse consistencybracing lemmaelevator lemma

Mathematics Subject Classification ID

Resource and cost allocation (including fair division, apportionment, etc.) (91B32)

Related Items (53)

Rationality, aggregate monotonicity and consistency in cooperative games: some (im)possibility results ⋮ Equivalence theorem in matching with contracts ⋮ Equality and responsibility: ex ante and ex post redistribution mechanisms ⋮ New axioms for deferred acceptance ⋮ Consistent house allocation ⋮ Decentralized task coordination ⋮ On the consistency of random serial dictatorship ⋮ Local and consistent centrality measures in parameterized networks ⋮ A new axiomatic approach to the impartial nomination problem ⋮ Value-free reductions ⋮ Local and global consistency properties for student placement ⋮ Consistent bilateral assignment ⋮ Priority classes and weighted constrained equal awards rules for the claims problem ⋮ Distance on matchings: An axiomatic approach ⋮ Design of water quality policies based on proportionality in multi-issue problems with crossed claims ⋮ The equal split-off set for NTU-games ⋮ Balanced externalities and the proportional allocation of nonseparable contributions ⋮ Path monotonicity, consistency and axiomatizations of some weighted solutions ⋮ Consistent queueing rules ⋮ Strategy-proof assignment of multiple resources ⋮ Generalizing the constrained equal awards rule ⋮ Singles monotonicity and stability in one-to-one matching problems ⋮ The separability principle in economies with single-peaked preferences ⋮ Group identification: an integrated approach ⋮ Probabilistic assignment problem with multi-unit demands: a generalization of the serial rule and its characterization ⋮ NTU-bankruptcy problems: consistency and the relative adjustment principle ⋮ Balanced allocation methods for claims problems with indivisibilities ⋮ Characterization of the core in full domain marriage problems ⋮ Sharing the cost of redundant items ⋮ Equal-quantile rules in resource allocation with uncertain needs ⋮ A necessary and sufficient condition for uniqueness consistency in the stable marriage matching problem ⋮ Priority and proportionality in bankruptcy ⋮ Minimal envy and popular matchings ⋮ Families of sequential priority rules and random arrival rules with withdrawal limits ⋮ Self-interest and equity concerns: a behavioural allocation rule for operational problems ⋮ Reduced games and egalitarian solutions ⋮ Consistency and monotonicity in sequencing problems ⋮ An axiomatization of the inner core using appropriate reduced games ⋮ Self-selection consistent functions ⋮ Cost monotonicity, consistency and minimum cost spanning tree games ⋮ Monotonicity and consistency in matching markets ⋮ Hart and Mas-Colell consistency in PERT problems ⋮ The central core and the mid-central core as novel set-valued and point-valued solution concepts for transferable utility coalitional games ⋮ Consistency of the equal split-off set ⋮ Entropy, desegregation, and proportional rationing ⋮ Up methods in the allocation of indivisibilities when preferences are single-peaked ⋮ Decentralized matching: the role of commitment ⋮ Compromising between the proportional and equal division values ⋮ Axiomatic foundations of the core for games in effectiveness form ⋮ On the importance of reduced games in axiomatizing core extensions ⋮ Multi-issue bankruptcy problems with crossed claims ⋮ Systematic favorability in claims problems with indivisibilities ⋮ Characterization of the Reverse Talmud bankruptcy rule by exemption and exclusion properties

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