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Working paper

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.

Added: Mar 2, 2017

Working paper

Blokh A., Oversteegen L., Ptacek R. et al. arxiv.org. math. Cornell University, 2014

We study the closure of the cubic Principal Hyperbolic Domain and its
intersection $\mathcal{P}_\lambda$ with the slice $\mathcal{F}_\lambda$ of the
space of all cubic polynomials with fixed point $0$ defined by the multiplier
$\lambda$ at $0$. We show that any bounded domain $\mathcal{W}$ of
$\mathcal{F}_\lambda\setminus\mathcal{P}_\lambda$ consists of $J$-stable
polynomials $f$ with connected Julia sets $J(f)$ and is either of \emph{Siegel
capture} type (then $f\in \mathcal{W}$ has an invariant Siegel domain $U$
around $0$ and another Fatou domain $V$ such that $f|_V$ is two-to-one and
$f^k(V)=U$ for some $k>0$) or of \emph{queer} type (then at least one critical
point of $f\in \mathcal{W}$ belongs to $J(f)$, the set $J(f)$ has positive
Lebesgue measure, and carries an invariant line field).

Added: Feb 11, 2015

Working paper

This paper describes the competition of complementation strategies of Russian verbs of request. We conducted a corpus-based study of six strategies of compelement encoding: infinitive, nominalisation, prepositional phrase with nominalisation, finite clause introduced with complementizer čtoby, non-finite clause introduced with complementizer čtoby (i.e. čtoby + infinitive), prepositional phrase with čtoby and expletive pronoun to (o tom čtoby). The results suggest that there are several factors influencing the competition under consideration (such as coreference of different participants, request dictance, etc.) and that these factors belong to different language domains, including semantics. This challenges the classic point of view according to which complementation studies should be focused primarily on syntax.

Added: Mar 25, 2015

Working paper

Panov T., Ustinovsky Y.,

arxiv.org. math. Cornell University, 2013
Moment-angle manifolds provide a wide class of examples of non-Kaehler compact complex manifolds. A complex moment-angle manifold Z is constructed via certain combinatorial data, called a complete simplicial fan. In the case of rational fans, the manifold Z is the total space of a holomorphic bundle over a toric variety with fibres compact complex tori. In general, a complex moment-angle manifold Z is equipped with a canonical holomorphic foliation F and a C*-torus action transitive in the transverse direction. Examples of moment-angle manifolds include Hopf manifolds of Vaisman type, Calabi-Eckmann manifolds, and their deformations. We construct transversely Kaehler metrics on moment-angle manifolds, under some restriction on the combinatorial data. We prove that all Kaehler submanifolds (or, more generally, Fujiki class C subvarieties) in such a moment-angle manifold lie in a compact complex torus contained in a fibre of the foliation F. For a generic moment-angle manifold Z in its combinatorial class, we prove that all subvarieties are moment-angle manifolds of smaller dimension. This implies, in particular, that the algebraic dimension of Z is zero.

Added: Aug 23, 2013

Working paper

Buff X.,

arxiv.org. math. Cornell University, 2013. No. 1308.3510.
We investigate the notion of complex rotation number which was introduced by V.I.Arnold in 1978. Let f: R/Z \to R/Z be an orientation preserving circle diffeomorphism and let {\omega} \in C/Z be a parameter with positive imaginary part. Construct a complex torus by glueing the two boundary components of the annulus {z \in C/Z | 0< Im(z)< Im({\omega})} via the map f+{\omega}. This complex torus is isomorphic to C/(Z+{\tau} Z) for some appropriate {\tau} \in C/Z. According to Moldavskis (2001), if the ordinary rotation number rot (f+\omega_0) is Diophantine and if {\omega} tends to \omega_0 non tangentially to the real axis, then {\tau} tends to rot (f+\omega_0). We show that the Diophantine and non tangential assumptions are unnecessary: if rot (f+\omega_0) is irrational then {\tau} tends to rot (f+\omega_0) as {\omega} tends to \omega_0. This, together with results of N.Goncharuk (2012), motivates us to introduce a new fractal set, given by the limit values of {\tau} as {\omega} tends to the real axis. For the rational values of rot (f+\omega_0), these limits do not necessarily coincide with rot (f+\omega_0)$ and form a countable number of analytic loops in the upper half-plane.

Added: Dec 12, 2013

Working paper

The transformation of traditional childbearing patterns of early family formation to later family formation characterized recent fertility trends in Russia. These were intrinsically interwoven with fundamental changes in all aspects of life of young people in the 1990s and the 2000s. The past quarter century was also marked by concern with low fertility and attempts to increase fertility in the early 1980s and the late 2000s. The family policies of the 1980s failed to raise fertility. Preliminary analyses indicate that the fate of the 2007 policies could be similar. In both cases the main emphasis was on material birth and child benefits, parental leaves and child care. Presumably insufficient attention was devoted to improving living conditions of young people and promoting gender equality. Will government efforts to raise fertility during the 2010s be sufficiently effective to offset economic and social forces challenging childbearing? As of 2012 the outlook for a future fertility increase does not appear hopeful.

Added: Dec 25, 2012

Working paper

We compute the class which is Poincare dual to the first Stiefel-Whitney class for the Deligne-Mumford compactification of the moduli space of real algebraic curves of genus 0 with n marked and numbered points in terms of the natural cell decomposition of the variety under consideration.

Added: Oct 19, 2014

Working paper

Currently many software applications, enabling text analysis, are being created for different purposes (semantic reference tools, concordancers, sentiment analysis etc.), but not used by literary researchers. Computer software allows to facilitate the search of the required information and to save time considerably. With such approach to the field of linguistic and literary analysis, a comparative analysis in particular, new opportunities and unexpected horizons are being offered. The present paper suggest a critical review of existing computer resources, related to text processing, and a consistent description of application of programs, successfully tested on literary materials and used for text analysis at the Faculty of Humanities (HSE Branch in Nizhny Novgorod): linguistic annotated text corpora; collections of literary texts of one author; different computer tools such as AntConc concordancer, multifunctional text analyzer LEKTA, LF aligner for text alignment, i.e. those tools which allow varying of loaded and analyzed text collections. Computer-based text analysis shall be practiced only with further literary description and interpretation. With this comparison of data, retrieved in the process of computer-based analysis, with existing traditional researches may become a new stage of literary text analysis.

Added: Apr 25, 2014

Working paper

We study a coproduct in type A quantum open Toda lattice in terms of a coproduct in the shifted Yangian of sl_2. At the classical level this corresponds to the multiplication of scattering matrices of euclidean SU(2) monopoles. We also study coproducts for shifted Yangians for any simply-laced Lie algebra.

Added: Jul 2, 2017

Working paper

The paper addresses the tolerance approach to the sensitivity analysis of optimal solutions to a nonlinear discrete
optimization problem, which involves a continuous, associative, commutative,
nondecreasing and unbounded binary operation of generalized addition on nonnegative reals, called an A-operation. We
evaluate and present sharp estimates for upper and lower bounds of costs of elements from the ground set, for which an
optimal solution to the above problem remains stable. These bounds present new results in the sensitivity
analysis as well as extend most known results in a unified way. We define an invariant of the optimization
problem—the tolerance function, which is independent of optimal solutions, and establish its basic properties,
among which we mention a characterization of the set of all optimal solutions, the uniqueness of optimal
solutions and extremal values of the tolerance function on an optimal solution.

Added: Dec 13, 2013

Working paper

This paper introduces the evolving understanding and conceptualization of innovation process models. From the discussion of different approaches towards the innovation process understanding and modeling two types of approaches to the evolution of innovation models are developed and discussed. First the so-called innovation management approach which focuses on the evolution of the company innovation management strategies in different socioeconomic environments. Second is the analysis the evolution of innovation models themselves in conceptual sense (conceptual approach) as well as analysis of theoretical backgrounds and requirements for these models. The main focus of analysis in this approach is on advantages and disadvantages of different innovation models in their ability to describe the reality of innovation processes. The paper focuses on the advantages and disadvantages as well as potentials and limitations of the approaches and also proposes potential future developments of innovation models as well as the analysis of driving forces that underlie the evolution of innovation models recently.

Added: Apr 27, 2013

Working paper

Successful performance in complex tasks depends upon the functioning of the cognitive control system involving the maintenance of sustained attention, retention and activation of task rules, as well as the inhibition of preliminary responses. Failure of any of these functions can lead to performance errors. In this study, we investigated behavioral data obtained from participants performing the auditory condensation task, which is highly demanding of the level of cognitive control but does not require participants to inhibit or override any prepotent automatic responses. We identified pre-error speeding and error slowing, while post-error slowing was not evident. Our results suggest that there are three factors contributing to the variability within the behavioral measures obtained. The first factor is related to the overall response latency, the second to the main individual mechanism of performance errors, and the third to the subject’s ability to increase motor threshold in the event of uncertainty and choice ambiguity. The data obtained evidence that the auditory condensation task is a promising model for studying cognitive control.

Added: Dec 22, 2015

Working paper

The development of service industries in emerging economies has been attracting more attention in recent years, but to date there have been few studies of knowledge-intensive business services (KIBS) in these countries. (The main exception is the case of a specific sector – software and related Information Technology services, with most focus here being on India. KIBS as a whole have received little examination.) This paper aims to study how conditions for innovation influence innovation activities in KIBS in one of the largest emerging countries, Russia. The study draws on survey data from firms belonging to ten KIBS subsectors, based in major Russian cities in 2015. The results contrast with those generally reported in Western developed economies. In this particular emerging economy, firms experiencing negative market and knowledge conditions are actually more liable to undertake nontechnological innovations. We consider various explanations for this apparent anomaly. The institutional framework appears to be less essential for KIBS than has been earlier documented for manufacturing enterprises in Russia. Implications for innovation management and policy are outlined: both government and corporate, strategies here would benefit from more attention to these sectors.

Added: Jan 21, 2019

Working paper

We present a modification of the method of conical resolutions \cite{quintics,tom}. We apply our construction to compute the rational cohomology of the spaces of equations of nodal cubics in CP2, nodal quartics in CP2 and nodal cubics in CP3. In the last two cases we also compute the cohomology of the corresponding moduli spaces.

Added: Feb 26, 2014

Working paper

We study some extension of a discrete Heisenberg group coming from the theory of loop-groups and find invariants of conjugacy classes in this group. In some cases including the case of the integer Heisenberg group we make these invariants more explicit.

Added: Nov 14, 2014

Working paper

Guided search is a mechanism that controls and optimizes the deployment of attention during visual search and allows one to pay attention only to highly relevant items. For instance, when searching for a conjunction of two features, we are able to select a feature-marked subset (e.g., all items sharing same color) prior to focusing attention on particular items. Standard models assume that only separate features can guide attention since they are only available at the preattentive stage of visual analysis and no conjunction information is available at that stage. Here I show that search performance is affected by both the distribution of features across the visual field and their conjunctions in particular items. It appears that people are unable to use “pure”, unbound features for selecting relevant subsets. This major finding requires reconsidering the standard models of guided search. The concept of distributed attention, which represents multiple items as imperfectly bound objects, seems promising in explaining this finding.

Added: Sep 6, 2013

Working paper

Varfolomeev E., Marin O., Bykov D. et al. Science, Technology and Innovation. WP BRP. Высшая школа экономики, 2014. No. 24.

This paper studies the integration of social and environmental objectives into strategy through performance indicators based on a sample of multinational world-leading oil- and gas producers. Also, we inquire if the companies under study, which identify certain areas as strategic objectives, do better than their peers. We show that top management of the companies did indeed identify different areas of interest, had different strategic foci, and used different performance indicators. This is often explicable through a company’s own history and past experiences. When comparing a sample of greenhouse gas emissions, safety measures, and energy efficiency indicators between the different companies, we could not identify a consistent development over time trends. In fact, some did worse over time and collective improvements were largely absent.

Added: Mar 12, 2014

Working paper

Clothing and fashion play significant role in the process of ageing, and help put bodily experiences in the context of culture. It is especially important for young people as social subjects, who are starting to become independent but do not have sufficient experience and social competences to do this. This paper explores how youth of middle and working class in Russia use clothing to denote their social identity and construct boundaries.The paper is based on materials of 81 IDI with young people from St. Petersburg.

Added: Feb 3, 2015

Working paper

Time series of Input-Output (IO) accounts at current and constant prices are widely applied to study the dynamics and structure of economic activity within country and conduct cross-country comparisons and analyses of globalization processes as well as their impacts. For these purposes IO accounts have to adhere to a uniform nomenclature of products and economic activities in accordance with international standards. Unfortunately, Russian statistics currently do not satisfy this condition. The first Russian IO accounts for 2011, built in accordance with international standards, will be published only at the end of 2015 (previously published tables for 1995-2003 were built in the classifications "inherited" from the Soviet period). The IO accounts for 2012 and subsequent years will be built by extrapolating the cost structure of products and services for 2011. However, it leaves the open question of extending the time series of these tables for the retrospective period prior to 2011. As international experience shows, this type of calculation was predominantly conducted by research organizations and universities. Given this, the National Research University Higher School of Economics has been developing a methodology for constructing a retrospective time series of a part of the IO accounts (use tables and valuation matrices) from 2010, in order to experimentally test them, and apply them to the official IO accounts for 2011. The following results were obtained from our study. First, we proposed a two-step procedure to transform IO accounts for 2003 from the Soviet into the OKVED/OKPD classifications. Second, we used a two-stage biproportional method generalizing the RAS procedure to construct a time series of IO accounts for the subsequent period using the 2003 transformed IO accounts as the starting point. Finally, we recalculated a part of the IO accounts (use tables) at the previous year prices.

Added: Nov 23, 2015

Working paper

Although the number of engineering graduates has expanded rapidly in the last two decades, relatively little is known about the quality of engineering programs worldwide. In particular, few studies look at differences in the degree to which students are learning skills across different engineering programs within and between countries. There is particular interest in the investigation of the engineering education quality in the countries with the rapidly growing economy, such as BRICS countries. Until now, there was little research in this field and one of the main reasons for this is the difficulty in developing an assessment approach and the accompanying set of instruments, which would allow for measurement and international comparison. Our study describes a set of procedures for developing such an assessment framework of instruments, to measure and compare skill levels and gains across engineering programs. We first describe a systematic approach for constructing cross-nationally comparable instruments in maths and physics for students in the first two years of their undergraduate engineering programs. The approach includes both a priori procedures (including expert assessments to avoid construct, method, and item bias), and a posteriori procedures (including the psychometric analysis of test quality, differential item functioning, and identifying and reducing bias in the data). In addition to describing this set of procedures in theory, we also show how we systematically implemented these procedures. Drawing on data that we collected from over 24 engineering experts and 3,600 engineering students across Russia and China, we provide evidence that it is possible to create tests that are cross-culturally valid, equate-able, and free from bias.

Added: Sep 8, 2015

Working paper

The Russian tax-benefit system consists of numerous types of support available to a large circle of beneficiaries; they are regulated by a number of legislative acts that focus on certain types of assistance rather than on vulnerable groups. In addition, the decentralization reform of social protection carried out in 2005 motivated many regional governments to implement their own social programs that differ in terms of design and generosity. So far, however, little is known about the impact of the tax-benefit policies on income distribution and poverty in Russia. This paper describes the construction of a tax-benefit microsimulation model for Russia (RUSMOD) which is based upon the EUROMOD platform. RUSMOD simulates the eligibility and receipt of most of the existing monetary policies at the federal and regional levels and assesses their potential redistributive effect. This paper aims to provide necessary background material on the construction of the model to anyone wishing to work with RUSMOD.

Added: Apr 26, 2013