?
Competitive division of a mixed manna
Econometrica. 2017. Vol. 85. No. 6. P. 1847–1871.
A mixed manna contains goods (that everyone likes), bads (that everyone dislikes), as well as items that are goods to some agents, but bads or satiated to others.
If all items are goods and utility functions are homothetic, concave (and monotone), the Competitive Equilibrium with Equal Incomes maximizes the Nash product of utilities: hence it is welfarist (determined utility-wise by the feasible set of profiles), single-valued and easy to compute.
We generalize the Gale-Eisenberg Theorem to a mixed manna. The Competitive division is still welfarist and related to the product of utilities or disutilities. If the zero utility profile (before any manna) is Pareto dominated, the competitive profile is unique and still maximizes the product of utilities. If the zero profile is unfeasible, the competitive profiles are the critical points of the product of disutilities on the efficiency frontier, and multiplicity is pervasive. In particular, the task of dividing a mixed manna is either good news for everyone, or bad news for everyone.
We refine our results in the practically important case of linear preferences, where the axiomatic comparison between the division of goods and that of bads is especially sharp. When we divide goods and the manna improves, everyone weakly benefits under the competitive rule; but no reasonable rule to divide bads can be similarly Resource Monotonic. Also, the much larger set of Non Envious and Efficient divisions of bads can be disconnected so that it will admit no continuous selection.
Language:
English
Keywords: fair division of goodsfair division of badscompetitive equilibrium with equal incomesNash productresource monotonicityindependence of lost bidsзадачи справедливого распределения благзадачи справедливого распределения антиблагконкуррентное равновесие с равными доходамипроизведение Нэшаресурсная монотонностьнезависимость от пустых ставок
Publication based on the results of:
Gurkov I. B., Filinov N., Saidov Z., / NRU Higher School of Economics. Series MAN "Management". 2025. No. N/A.
This study discusses the evolution of the management and organization of Soviet industrial ministries—sizeable structures designed to manage enterprises of specific industries. The ‘Soviet style’ enterprise management included operational (day-to-day) control over the volume of production, control over the cost of production, control over the technical level of production, and control over labour productivity. The ...
Added: June 11, 2026
Gurkov I. B., Kossov V. V., Filinov N. et al., / NRU Higher School of Economics. Series MAN "Management". 2026. No. N/A.
This research note is devoted to assessing the socioeconomic impact of sanctions of sanctioned countries and uses the data on Russia in 2022-2024. We use for the analysis four fundamental socioeconomic parameters-the expected length of life of males at birth, the misery index (Okun's index), the level of Gross Domestic Product at purchasing parity prices, ...
Added: June 11, 2026
Evdokimenko A., Strizhova E., Сотникова Е., М.: [б.и.], 2022.
В рамках нашего исследования мы опросили более 800 сотрудников и 50 экспертов, провели интервью с представителями нескольких десятков компаний, чтобы понять, как сотрудники и работодатели воспринимают корпоративное обучение. Исследование состоит из трех блоков. В первом мы рассказываем об эволюции корпоративного обучения: с чего оно начиналось, как менялось и как развивается сейчас. Второй блок посвящен анализу ...
Added: June 11, 2026
L.: Bloomsbury Academic, 2026.
The book focuses on the concept of “socialist market, a cornerstone of political economy in Soviet-type societies undergoing economic reforms from the 1950s onward. Encouraged by the success of non-capitalist mixed economies, market reformers (also called 'market socialists') offered the communist ruling elites a remedy for the persistent crises of the planned economy. Besides optimal planning and ...
Added: June 10, 2026
Kh. Kh. Abdullin, D. B. Mokeev, D. S. Taletskii, Mathematical notes 2026 Vol. 119 No. 1 P. 3–7
By the Ramsey number R(K1,s,Pt) one means the least positive integer n such that, for every n-vertex graph G, the following condition holds: either G contains a vertex of degree at least s or the complement of G contains a simple t-path. In this paper, we fi nd precise values of R(K1,s,Pt) for certain values ...
Added: June 10, 2026
Sorokin D., Kostin A., Savchenko L. et al., Knowledge-Based Systems 2026 Vol. 348 Article 116258
A convenient approach to optimally solving combinatorial optimization tasks is the Branch-and-Bound method.
Its branching heuristic can be learned to solve a large set of similar tasks. The promising results here are
achieved by the recently appeared on-policy reinforcement learning method based on the tree Markov Decision
Process. To overcome its main disadvantages, namely, very large training time ...
Added: June 10, 2026
Namsaraev Z., Kozlova A., Toshchakov S., Scientific Reports 2026 Vol. 16 No. 17769
Distilled fermented milk beverages are rare in food technology, despite the global prevalence of plant-based spirits. Currently, the production of distilled strong alcoholic beverages from fermented milk using traditional technologies is known only among Mongolic-speaking peoples and their Siberian neighbors. This study provides the first interdisciplinary analysis of darasun, a traditional Buryat spirit made from fermented ...
Added: June 10, 2026
Hushchyn M., Butorova A., Bobakov V. et al., European Physical Journal: Special Topics 2026 P. 1–19
This paper presents a review of artificial intelligence (AI) methods for failure prediction in data center cooling systems, with a focus on the integration of digital twins (DTs), physics-informed learning, and graph-based models. Positioned within complex network science, this review addresses a limitation of conventional graph approaches—their reliance on pairwise connectivity—whereas real-world failures often arise ...
Added: June 10, 2026
Portanskiy A., Мировая экономика и международные отношения 2026 Т. 70 № 5 С. 44–53
The article examines Trump’s tariff policy, proclaimed at the beginning of his second presidential term and its negative impact on the stability of the global economy. It is emphasized that the practice of manipulating import duties used by the Trump administration fundamentally contradicts the basic ideas on which the Multilateral trading system has been built since the early 1940s, in particular, predictability of mutual ...
Added: June 9, 2026
Национальные рейтинги ответственного бизнеса России и Китая: сравнительный анализ и прогноз развития
Krivokhizhin O., Vukovic N., Smirnova V., Стандарты и качество 2026 № 5 С. 105–109
The issues related to the national responsible business ratings of China and Russia are examined, their common features and significant differences are highlighted. The quantitative and qualitative analysis of data from the Russian national EPS rating for 2025 and the Chinese corporate social credit system (CSCS) rating were used. The study revealed that Russia and ...
Added: June 9, 2026
Pishnyak A., Khalina N., Nazarbaeva E. et al., Вопросы экономики 2026 № 6 С. 58–74
The article presents the results of a study examining the relationship between time and monetary expenditures among Russian households across different spheres of consumption. Drawing on data from a nationwide population survey combining questionnaire-based information with time-use diaries, the study demonstrates that, depending on the specific sphere of consumption, time and money may function either ...
Added: June 8, 2026
Matveeva N., Ferligoj A., Batagelj V., Scientometrics 2026 P. 1–20
Scientific collaboration among universities is traditionally studied by counting coauthored papers with different types of partners. Under this approach, the internal mechanisms of collaboration remain hidden and, without additional normalization, the results can be biased. In our study, we apply co-authorship network analysis to examine collaboration structures within university research networks. We use OpenAlex data ...
Added: June 8, 2026
Nagernyak M., Ter-Akopov S., Voronina N. et al., Вопросы экономики 2026 № 6 С. 75–96
A reliable evaluation of the population's socioeconomic behavior must consider "overlapping activities," which is reflected in combining leisure with other tasks. Based on data from the HSE Economic Behavior of Households research project, the paper examines patterns of overlapping leisure consumption in contemporary Russian society. The authors evaluated the frequency and amount of overlapping leisure ...
Added: June 8, 2026
Kravtsova M., Musaev A. U., Welzel C., / Series "SSRN Working Paper Series". 2026.
Elaborating on Welzel et al.'s "Cool Water Theory," our study zooms into the more limited (albeit still varied) framework conditions of Russia's huge territory. Within Russia's confines, we examine how the combination of moderately cool seasons with steady rain (i.e., Cool Water) affects sub-national areas' contemporary societal progress in two modernization indicators: material prosperity in ...
Added: June 3, 2026
Синяков А. А., Зверева В., Шелованова Т. И., / Центральный банк Российской Федерации. Серия 132 / 2024 "Серия докладов об экономических исследованиях". 2024. № 132.
At the end of 2023, Russia updated its Strategy for Improving Financial Literacy and Developing Financial Culture Until 2030. Unlike the previous strategy, the current strategic goals include not only financial literacy but also financial culture. ‘Culture’ is normative and socially preferred behaviour. The updated strategy brings into focus the relationship between financial literacy and responsible financial behaviour. To explore this relationship, the authors rely on data from the All-Russian Survey of Consumer Finance (2020 and 2022). Socially ...
Added: June 1, 2026
Vorchik A., / SSRN. Серия Social Science Research Network "Social Science Research Network". 2026.
This work is devoted to a theoretical explanation of the Easterlin paradox, according to which long-term economic growth does not make average level of people's happiness increasing. By happiness, we mean the intensity of emotions people experience while comparing their new income with its expected value, or the target income with its original value. In the first case, ...
Added: May 31, 2026
Shipilov F., Barnyakov A., Ivanov A. et al., / Series Physics "arxiv.org". 2026.
A fast simulation of the detector response is a vital task in high-energy physics (HEP). Traditional Monte-Carlo methods form the backbone of modern particle physics simulation software but are computationally expensive. We present a machine-learning-based approach to fast simulation of the Focusing Aerogel Ring Imaging Cherenkov (FARICH) detector response. Given a particle track and momentum, ...
Added: May 19, 2026
Dorovskiy A., / Series arXiv "math". 2026.
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
Taletskii D., / Series arXiv "math". 2026.
A vertex subset of a graph is called a \textit{distance-$k$ independent set} if the distance between any two of its distinct vertices is at least $k + 1$. For all $n,k \geq 1$, we determine the minimum possible number of inclusion-wise maximal distance-$k$ independent sets among all $n$-vertex trees. It equals~$n$ if $n \leq k ...
Added: May 1, 2026
Ovcharenko M., / Series arXiv "math". 2026.
We introduce an explicit class of tempered Laurent polynomials in the sense of Villegas and Doran--Kerr in n⩽4 variables including all Landau--Ginzburg models for smooth Fano threefolds with very ample anticanonical class. We check that it contains Landau--Ginzburg models for various Fano fourfolds which are complete intersections in smooth toric varieties and Grassmannians of planes, ...
Added: April 30, 2026
Derkacheva A., Sakirkina M., Kraev G. et al., /. 2026.
Comprehensive data on natural hazards and their consequences are crucial for effective for risk assessment, adaptation planning, and emergency response. However, many countries face challenges with fragmented, inconsistent, and inaccessible data, particularly regarding local-scale events. To address this data gap in Russia, we developed an end-to-end processing pipeline that scrapes news from various online sources, ...
Added: April 28, 2026
Pilé I., Deng Y., Shchur L., / Series arXiv "math". 2026. No. 2604.10254.
We investigate the spatial overlap of successive spin configurations in Markov chain Monte Carlo simulations using the local Metropolis algorithm and the Svendsen-Wang and Wolff cluster algorithms. We examine the dynamics of these algorithms for two models in different universality classes: the Ising model and the Potts model with three components. The overlap of two ...
Added: April 20, 2026
Zlotnik Alexander, / Series arXiv "math". 2026. No. 2602.03481v1.
We deal with the global in time weak solutions to the 1D compressible Navier-Stokes system of equations for large discontinuous initial data and nonhomogeneous boundary conditions of three standard types. We prove the Lipschitz-type continuous dependence of the solution $(\eta,u,\theta)$, in a norm slightly stronger than $L^{2,\infty}(Q)\times L^2(Q)\times L^2(Q)$, on the initial data $(\eta^0,u^0,e^0)$ in a ...
Added: April 18, 2026
Ustyuzhanin V., / Series Econometrics "arxiv". 2026.
This paper proposes Covariate-Balanced Weighted Stacked Difference-in-Differences (CBWSDID), a design-based extension of weighted stacked DID for settings in which untreated trends may be conditionally rather than unconditionally parallel. The estimator separates within-subexperiment design adjustment from across-subexperiment aggregation: matching or weighting improves treated-control comparability within each stacked subexperiment, while the corrective stacked weights of Wing et ...
Added: April 3, 2026