?
Games with symmetric incomplete information and asymmetric computational resources
International Game Theory Review. 2018. Vol. 20. No. 2. P. 1–16.
Kreps V. L., Gavrilovich M.
We consider random public signals on the state of two-person zero-sum game with incomplete information on both sides (both players do not know the state of the game). To learn the state, each player chooses a finite automaton which receives the public signal; the player only sees the output of the automaton chosen. Supposing that the size of automata available to Player 1 is essentially bigger than that available to Player 2, we give an example of public signal with random length of output strings where the posterior belief of Player 1 is the state and the posterior belief of Player 2 is close to his original belief. Thus, we demonstrate that asymmetric information about the state of a game may appear not only due to a private signal but as a result of a public signal and asymmetric computational resources of players.Besides, for a class of random signals with fixed length of output strings, we estimate the fraction of signals such that some automaton of given size may help Player 2 to significantly reestimate prior probability of the state. We show that this fraction is negligible if the size of automata of Player 2 is sufficiently smaller than length of output strings.
Publication based on the results of:
Panov V., Ryabchenko A., / Series arXiv "stat.ME". 2026. No. 2607.05048.
This paper investigates the problem of statistical inference for a mixture distribution consisting of a discrete and a continuous component, with a particular focus on the class of rational-infinitely divisible distributions. We consider non-parametric estimation of both components of the mixture as well as the quasi-L{é}vy measure, assuming that the mixture belongs to the class ...
Added: July 9, 2026
Mishin A., Guerrieri L., Kim J., / Series 2026-042 "Finance and Economics Discussion Series (FEDS)". 2026.
Within narrowly defined industries, the most productive firms produce far more than the least productive from the same inputs, and this dispersion widens in downturns. We build a tractable representative-agent model in which financial frictions—adverse selection and moral hazard—make firms sort endogenously into lenders, strategic defaulters, and producers. As credit conditions vary, the resulting misallocation ...
Added: June 28, 2026
Власов С. А., Nevalennyi M., Сафиулин Р. Р. et al., / Банк России. Серия Аналитическая записка "Материалы Банка России". 2026.
В аналитической записке обсуждается долгосрочно устойчивый уровень цены на российскую нефть. Это тот уровень, к которому цена нефти, вероятнее всего, будет тяготеть в долгосрочной перспективе. Потребность в его определении возникает по нескольким причинам. Во-первых, цена на нефть остается одним из ключевых экономических показателей российской экономики, определяющих экспорт, обменный курс рубля, прибыль, доходы и расходы бюджета, ...
Added: June 27, 2026
Глазова А. М., Nevalennyi M., Синяков А. А., / Банк России. Серия Препринты Банка России "Серия докладов об экономических исследованиях". 2025. № 154.
The paper proposes a graphical model of a small open economy. The dynamics of the graphical model is then illustrated using impulse responses from the corresponding formal semi-structural model (QPM model). The authors have several goals in preparing this description of the graphical macroeconomic model. The first goal of the paper is to present an adapted ...
Added: June 27, 2026
Mishin A., Guerrieri L., Canzoneri M. et al., / Series 2026-042 "Finance and Economics Discussion Series (FEDS)". 2026.
Added: June 27, 2026
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
Margarita V. Remizowa, Shipunov A., Sokoloff D., Botanica Pacifica 2023 Vol. 12 No. 2 P. 3–14
Pendent sessile flowers of Chamaelirium japonicum (Willd.) N. Tanaka appear zygomorpic, but they do not possess a bilateral symmetry. The flowers are subtended by a vestigial bract and lack a bracteole. The perianth consists of two small tepals on the abaxial side of the flower and four large tepals, none of which is median. Because ...
Added: February 20, 2024
Милостивая А. И., В кн.: Теория и практика коммуникации: Материалы I Международной научно-практической конференции, Тирасполь, Приднестровский государственный университет им. Т. Г. Шевченко, 27-28 февраля 2023 г.: том 1Т. 1.: Тирасполь: [б.и.], 2023. С. 26–36.
This article analyzes modern linguistic synergetics’ concepts to identify this discipline's main ways and prospects in scientific episteme. The author focuses on the paradigm status and explanatory potential of lingua-synergetic studies. Data for this investigation consists of scientific articles, dissertations and monographs, which set out various versions of the synergistic interpretation of speech activity. As ...
Added: February 11, 2024
Мещеряков М. В., Сухарев Л. А., Саранск: Изд-во Мордовского университета, 2018.
The book is an introductory course on the theory of formal languages and finite automata. It presents the main material of diciplina related to the mathematical foundations of a number of syntactic methods of inormatics and programming. The book is intended for undergraduate students in the following fields of study: fundamental computer science and information ...
Added: October 12, 2023
Zapryagaev A., / Series arXiv "math". 2022.
Büchi arithmetics BA_n, n >= 2, are extensions of Presburger arithmetic with an unary functional symbol V_n(x) denoting the largest power of n that divides x. Definability of a set in BA_n is equivalent to its recognizability by a finite automaton receiving numbers in their n-ary expansion. We show that Büchi arithmetics BA_n and BA_m ...
Added: December 5, 2022
Kolpakov A., Talambutsa A., International Mathematics Research Notices 2022 Vol. 2022 No. 19 P. 14675–14696
We define a large class of abstract Coxeter groups that we call ∞–spanned, and for which the word growth rate and the geodesic growth rate appear to be Perron numbers. This class contains a fair amount of Coxeter groups acting on hyperbolic spaces, thus corroborating a conjecture by Kellerhals and Perren. We also show that for ...
Added: October 10, 2021
Galatenko A. V., Кузовихина В. А., Программная инженерия 2021 № 3 С. 150–156
We propose an automata model of computer system security. A system is represented by a finite automaton with states partitioned into two subsets: "secure" and "insecure". System functioning is secure if the number of consecutive insecure states is not greater than some nonnegative integer k. This definition allows one to formally reflect responsiveness to security ...
Added: June 16, 2021