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Robustness of equilibrium in the Kyle model of informed speculation
Annals of Finance. 2015. P. 297–318.
Boulatov A., Bernhardt D.
We analyze a static Kyle (Continuous auctions and insider trading. Princeton University, Princeton, 1983) model in which a risk-neutral informed trader can use arbitrary (linear or non-linear) deterministic strategies, and a finite number of market makers can use arbitrary pricing rules. We establish a strong sense in which the linear Kyle equilibrium is robust: the first variation in any agent’s expected payoff with respect to a small variation in his conjecture about the strategies of others vanishes at equilibrium. Thus, small errors in a market maker’s beliefs about the informed speculator’s trading strategy do not reduce his expected payoffs. Therefore, the original equilibrium strategies remain optimal and still constitute an equilibrium (neglecting the higher-order terms). We also establish that if a non-linear equilibrium exists, then it is not robust. © 2015 Springer-Verlag Berlin Heidelberg
Konakov V., Kucher D., Mammen E., / Series arXiv "math". 2026. No. 2606.11142v1.
In this paper, we construct strong approximations for discrete-time Markov chains weakly converging to continuous diffusion processes, as well as for their perturbed counterparts. Under the assumption of bounded coefficients, we construct closely coupled versions of these processes on a shared probability space. In particular, for both non-degenerate and degenerate cases, we maximize the probability ...
Added: June 11, 2026
Bogatyrev R., Sandomirskaia M., / NRU Higher School of Economics. Series EC "Economics". 2026. No. 19(1).
This work develops a tractable model of price competition in fragmented markets where consumers consider both local and distant varieties, with cross-regional purchases subject to stochastic costs. Global competition and full localization emerge as polar cases; hybrid competition is not merely intermediate and exhibits distinctive features such as an endogenous price ceiling and non-monotonic entry ...
Added: June 11, 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
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
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
Medvedev V., / Series arXiv "math". 2026.
We investigate the interplay between the dimension of the space of static potentials and the geometric and topological structure of the underlying static three-manifold. A partial classification of boundaryless static manifolds is obtained in terms of this dimension. We also treat the case of static manifolds with boundary. In particular, we prove that if a ...
Added: April 3, 2026
Gabdullin N., Androsov I., / Series Computer Science "arxiv.org". 2026.
Label prediction in neural networks (NNs) has O(n) complexity proportional to the number of classes. This holds true for classification using fully connected layers and cosine similarity with some set of class prototypes. In this paper we show that if NN latent space (LS) geometry is known and possesses specific properties, label prediction complexity can ...
Added: April 2, 2026
Vorchik A., / Social Science Research Network. Серия SSRN Working Paper Series "SSRN Working Paper Series". 2026.
This article is devoted to the phenomenon of intrinsic motivation, to understand which two models are proposed. We study how positive/negative intrinsic motivation to work (experienced utility) affects worker's individual labour supply (model I) and the amount of effort they exert (model II). In model I, we use intrinsic motivation to explain the positive/negative slope ...
Added: March 15, 2026
Kolesnikov A., / Series arXiv "math". 2025.
We study Blaschke--Santal{ó}-type inequalities for N>=2 sets (functions) and a special class of cost functions. In particular, we prove new results about reduction of the maximization problem for the Blaschke--Santal{ó}-type functional to homogeneous case (functional inequalities on the sphere) and extend the symmetrization argument to the case of N>2 sets.
We also discuss links to the ...
Added: February 13, 2026
Vorchik A., Мамышев М. А., / Series Social Science Research Network "Social Science Research Network". 2025.
In this paper, we develop a formal mathematical model aimed to explain the Dunning-Kruger effect that beginners systematically overestimate their own competence in various fields of knowledge and activity. We argue that the Dunning-Kruger effect arises from the emotional nature of confidence combined with unknown unknowns that it simply can not take into account due ...
Added: February 11, 2026
Musaev A. U., Vorchik A., / Series Social Science Research Network "Social Science Research Network". 2026.
This paper attempts to model the evolutionary theory of modernization and democratization. The model reflects the key provisions of R. Inglehart and C. Welzel's theory and provides a microfoundation for the adaptation of subjective values to the objective importances of the survival factors and the structure of the labour markets from the perspective of evolutionary ...
Added: February 10, 2026
Aczel B., Szaszi B., Clelland H. et al., Nature 2026 Vol. 652 P. 135–142
The same dataset can be analysed in different justifiable ways to answer the same research question, potentially challenging the robustness of empirical science. ...
Added: January 27, 2026
Dzhanashia K., Aleksandr Fedosov, Oleg Evsutin, Sensors 2025 Vol. 25 No. 23 Article 7726
Using an attack-simulation module is a well-recognized approach to improving the robustness of end-to-end neural-network-based data-hiding schemes. However, most proposed attack simulators are limited in the types of attacks they cover, usually handling only a basic set of digital transformations. Real, in-demand use cases for data-hiding methods may involve modifications that cannot be modeled by ...
Added: November 28, 2025
Budnik R., Интеллектуальная собственность. Авторское право и смежные права 2007 № 10 С. 65–81
Civil law operates under the principle that publicly available information, unless specifically prohibited, may be freely used and distributed by anyone (without permission) and without compensation. Only non-public, confidential information has economic value and, accordingly, can be commercially traded. The legal system contains a number of institutions: confidentiality of information, restrictions on access to information ...
Added: September 21, 2025
Musaev A., Makshanov A., Dmitry Grigoriev, Montenegrin Journal of Economics 2023 Vol. 19 No. 1 P. 19–30
The paper considers the problem of constructing channel management
strategies for market chaos conditions. The nature of dynamic chaos violates the probabilistic-statistical paradigm's fundamental principle of experiment repeatability. Under these conditions, the traditional statistical methods of evaluation are not effective, and the generated management decisions are unstable. There is a need to create management strategies that
produce ...
Added: July 11, 2025
Valeriy Kalyagin, Ilya Kostylev, , in: Mathematical Optimization Theory and Operations Research. 23rd International Conference, MOTOR 2024, Omsk, Russia, June 30–July 6, 2024, Proceedings. LNCS, volume 14766.: Springer, 2024. P. 337–348.
Problem of learning a graphical model (graphical model selection problem) consists of recovering a conditional dependence structure (concentration graph) from data given as a sample of observations from a random vector. Various algorithms to solve this problem are known. One class of algorithms is related with convex optimization problem with additional lasso regularization term. Such ...
Added: August 9, 2024
Shirnin A., Andreev N., Potapova S. et al., IEEE/ACM Transactions on Speech and Language Processing 2024 Vol. 32 P. 2751–2763
We present an approach to evaluate the robustness of pre-trained vision and language (V&L) models to noise in input data. Given a source image/text, we perturb it using standard computer vision (CV) / natural language processing (NLP) techniques and feed it to a V&L model. To track performance changes, we explore the problem of visual ...
Added: July 19, 2024
Бабурина Е. А., Mitin I., Mikhaylov A. et al., Городские исследования и практики 2024 Т. 9 № 1 С. 34–54
Local identity of Basmanny district in Moscow is studies in the article. It is understood through the multiplicity of interconnected unique images of this urban territory. Taken together they create the mechanism of self-identification of local residents with their signified and conceived place.
The central location of Basmanny and its historical environment paradoxically raise the question ...
Added: May 30, 2024
Bazhenov G., Kuznedelev D., Malinin A. et al., , in: Advances in Neural Information Processing Systems 36 (NeurIPS 2023).: Curran Associates, Inc., 2023. P. 75567–75594.
In reliable decision-making systems based on machine learning, models have to be robust to distributional shifts or provide the uncertainty of their predictions. In node-level problems of graph learning, distributional shifts can be especially complex since the samples are interdependent. To evaluate the performance of graph models, it is important to test them on diverse ...
Added: February 7, 2024