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Minimal envy and popular matchings
European Journal of Operational Research. 2022. Vol. 296. No. 3. P. 776–787.
We study ex-post fairness and efficiency in the object allocation problem. A matching is individually
fair if it minimizes the number of envying agents, we call it minimal envy matching, and conditional
on being minimal envy also minimizes the number of envying agents in a reduced problem, we call it
minimal envy-2 matching. A matching is socially fair if supported by the majority of agents against any
other matching – popular matching. We observe that when a popular matching exists it is equivalent to a
minimal envy-2 matching.
We show the equivalence between global and local popularity: a matching is popular if and only if
in no group of size up to 3 agents a majority can benefit by exchanging objects, keeping the remaining matching fixed. We algorithmically show that an arbitrary matching is path-connected with a popular matching by locally-popular exchanges in small groups. Thus a corresponding market converges to a
popular matching.
Popular matchings often do not exist. We define most popular matching as a matching that is popular
among the largest (by cardinality) subset of agents. We show that a matching is minimal envy-2 if and
only if it is minimal envy and most popular, and propose a polynomial-time algorithm to find a Pareto
efficient minimal envy-2 matching.
Language:
English
Kazun A., Вопросы экономики 2026 № 6 С. 5–30
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In this article, we investigate wave packet and solitary wave dynamics in the Whitham–Ostrovsky (WO) equation. By means of a multiple-scales expansion, we formally derive a nonlinear Schrödinger (NLS) equation governing the envelope evolution.The corresponding modulational stability diagram is then obtained using the Lighthill criterion. We show that sufficiently large values of the low-frequency dispersive term render ...
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Gershman M., Brambila F., Bredikhin S. V. et al., М.: ИСИЭЗ ВШЭ, 2026.
The monograph presents the results of a comprehensive analysis of trends in science and technology policy, as well as strategies and practices of public administration in this sphere in foreign countries, conducted by the Institute for Statistical Studies and Economics of Knowledge (ISSEK) of the National Research University Higher School of Economics.
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Punishment plays a crucial role in driving norm change by incentivizing compliance with evolving shared normative expectations. Punitive measures typically encompass two components: a communicative effect, which delineates inappropriate conduct, and an institutionalized procedure that facilitates sanction enforcement. This study specifically investigates the latter dimension, examining how the mere existence of a punishment institution influences ...
Added: June 5, 2026
Sinitsyn M., Весь мир, 2025.
The global transportation sector is undergoing a major transformation associated with the transition to a low-carbon economy and the expanded use of alternative energy sources. In recent decades, the substitution of petroleum-based motor fuels with their substitutes – primarily biofuels and electric power (electric vehicles) – in light-duty road transport has accelerated. Public policy at ...
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Идея-Пресс, 2026.
The year 2025 was marked by deepening contradictions between the leading world powers in world politics and economics. The dominant paradigm is the transition of the world's leading players, primarily the United States, to fierce competition in order to promote and realize national interests. In this context, political polarization has increased in many countries of ...
Added: June 5, 2026
Sinitsyn M., Экономика строительства 2025 № 10 С. 265–268
This article analyzes recent trends in the global fuel cell electric vehicle market, including declining sales and weakening government incentives, China's support for the development of hydrogen-powered trucks. It shows that the purchase price and fuel costs of hydrogen vehicles are higher than those of diesel and electric vehicles. Hydrogen from coal and natural gas ...
Added: June 5, 2026
Sinitsyn M., Анализ и прогноз. Журнал ИМЭМО РАН 2025 № 3 С. 25–35
The article assesses life-cycle greenhouse gas emissions of internal combustion engine vehicles and battery electric vehicles including emissions from production, operation, maintenance, battery replacement and disposal. The author uses data on the carbon intensity of electricity generation in the European Union, USA and China – leaders in global energy transition – to estimate greenhouse gas ...
Added: June 5, 2026
Medvedev T. V., Pochinka O., Chaos 2026 Vol. 36 No. 6 Article 063107
We consider 3-diffeomorphisms with source–sink dynamics where Smale solenoids play the role of the source and the sink (NSSS-diffeomorphisms). It is known that such diffeomorphisms exist only on lens spaces. On the 3-sphere, every NSSS-diffeomorphism is associated with an exchangeable braid. An exchangeable braid with the strand number n was constructed for each n 3 in such a way ...
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We study hyperbolic chaotic dynamics for maps of a two-dimensional torus. We introduce a two-parameter family of diffeomorphisms which, as we show, demonstrates all types of hyperbolic chaotic dynamics that can appear in the two-dimensional case. In addition, we describe all the bifurcations responsible for the transitions between these chaotic regimes. ...
Added: June 4, 2026
Nozdrinova E., Pochinka O., Shmukler V., Математический сборник 2026 Т. 217 № 6 С. 71–89
Гомеоморфизмы топологических пространств называются эквивалентными по надстройке, если надстройки над ними топологически эквивалентны. В частности, топологически сопряженные гомеоморфизмы эквивалентны по надстройке. Известно, что для гомологически неприводимых гомеоморфизмов их топологическая сопряженность является необходимым и достаточным условием их эквивалентности по надстройке. Тогда как инварианты топологической сопряженности гомологически приводимых гомеоморфизмов во многих случаях являются избыточными для эквивалентности по ...
Added: June 3, 2026
Kravtsova M., Musaev A. U., Welzel C., / Series "SSRN Working Paper Series". 2026.
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Added: June 3, 2026
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Styrin E. M., Sanina A., Ataeva A. et al., Public administration and development 2026 P. 1–18
Digital public procurement is increasingly implemented through e-procurement platforms, yet evidence on the governance capabilities needed to deliver transparency, coordination and organisational learning remains limited outside high-capacity contexts. This article reframes public procurement as a socio-technical platform ecosystem and develops an ecosystem capability framework that links three tiers (government, platform operators and users) to three ...
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Added: June 2, 2026
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Пусть M обозначает симметрическое пространство некомпактного типа ранга 1. Опираясь на фундаментальную работу [1], в [2] было показано, что плотность соответствующим образом нормированной суммы независимых Hn-значных случайных величин, определенная через сложение Мёбиуса в модели шара Пуанкаре, сходится к фундаментальному решению соответствующего уравнения теплопроводности. Пределом являлся нормальный закон на Hn, соответствующий ядру теплопроводности, определяемому оператором Лапласа–Бельтрами. ...
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Синяков А. А., Зверева В., Шелованова Т. И., / Центральный банк Российской Федерации. Серия 132 / 2024 "Серия докладов об экономических исследованиях". 2024. № 132.
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Added: June 1, 2026
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In this paper the structural stability of generic families of vector fields of the PC-HC class on the two-dimensional sphere is proved. A classification of these families up to moderate equivalence in neighborhoods of their large bifurcation supports is presented, based on such invariants as the configuration and the characteristic set. The realization lemma is proved. ...
Added: May 14, 2026
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Added: May 1, 2026
Ovcharenko M., / Series arXiv "math". 2026.
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Added: April 30, 2026
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Ustyuzhanin V., / Series Econometrics "arxiv". 2026.
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Medvedev V., / Series arXiv "math". 2026.
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