An algorithm is described that constructs, in a polynomial time, a Nash equilibrium in a finite game with additive aggregation and decreasing best responses. MSC2010 Classifications: 91A10; 91A04.

This article is a survey of modules whose endomorphism rings are Dedekind finite, Hopfian or co-Hopfian. We summarise the properties of such modules and present unified proofs of known results and generalisations to new structure theorems. MSC 2010. 16S50, 16D80.

In this paper, we study some properties of the exterior tensor product on the category of modules. For this, we prove that the exterior tensor product of two permutation, endo-permutation, endo-trivial and endo-monomial modules are still permutation, endo-permutation endotrivial and endo-monomial modules respectively. Also, we prove that the cap of an exterior tensor product of two modules equa...

A complete description of dynamics in a neighborhood of a finite bunch of homoclinic loops to a saddle equilibrium state of a Hamiltonian system is given. MSC2010 numbers: 37J30, 37J40, 37D05, 37C29 DOI: 10.1134/S1560354714060069

In Dellunde et al. (J. Symbolic Logic 67(3) (2002) 997–1015), we determined the complete theory Te of modules of separably closed %elds of characteristic p and imperfection degree e, e∈! ∪ {∞}. Here, for 0 = e∈!, we describe the closed set of the Ziegler spectrum corresponding to Te. Further, we establish a correspondence between certain submodules and n-types and we investigate several notions...

A new research project has, quite recently, been launched to clarify how different, from systems in second order number theory extending ACA0, those in second order set theory extending NBG (as well as those in n+3-th order number theory extending the so-called Bernays Gödel expansion of full n+2-order number theory etc.) are. In this article, we establish the equivalence between ∆0-LFP and ∆ 1...

We study the graph structure of large random dissections of polygons sampled according to Boltzmann weights, which encompasses the case of uniform dissections or uniform p-angulations. As their number of vertices n goes to infinity, we show that these random graphs, rescaled by n−1/2, converge in the Gromov–Hausdorff sense towards a multiple of Aldous’ Brownian tree when the weights decrease su...

We establish the limiting distribution (in total variation) of the quasi posteriors based on moment conditions, which only partially identify the parameters of interest. Some examples are discussed. Some key words: Generalized method of moments, interval data, moment inequalities, partial identification, quasi-posterior, total variation. MSC2010 Classification Codes: 62F15, 62F99.

Resumen. En este artículo desarrollamos una teoría general de convergencia de un método secante para resolver ecuaciones matriciales no lineales. Además, presentamos condiciones suficientes para que este método proporcione un algoritmo local y superlinealmente convergente. Palabras clave: Función matricial, operador de Fréchet, Fréchet diferenciable, método secante, ecuación matricial no lineal...

Using the Falcone–Takesaki theory of noncommutative integration, we construct a family of noncommutative Orlicz spaces that are canonically associated to an arbitrary W *-algebra without any choice of weight involved, and we show that this construction is functorial over the category of W *-algebras with *-isomorphisms as arrows. MSC2010: 46L52, 46L51, 46M15.