This paper extends the concept of correlated stopping times in 2-player games to nplayer games. Communication between the players may be used to select an equilibrium according to a criterion of choice. Examples of 3-player games based on the job search problem are presented. One example shows that different correlations can be used to satisfy a given criterion of choice.

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In contrast with Noether theorem, we built up a new operative procedure for the derivation of conserved quantities and then applied it to the extremal problem for the integration under constraints in the space of state and control variables. In the problem, conserved quantities were constructed by imposing the homogeneities with respect to the state variables through control variables on relating functions. The purpose of this paper is to release the control variables from the homogeneities and then construct such a conserved quantity in a similar procedure. The quantity is illustratively constructed in a economic model, with the aid of which optimal paths can be determined completely.

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A repeated one-player game of deception with discounting is given and the solution is derived explicitly. It clearly shows a commonly conceivable fact that a player who deceives his (or her) opponent can get advantage.

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The vast majority of work done on inventory system is based on the critical assumption of fully observed inventory inventory level dynamics and demand. Modern technology, like the internet, offers a tremendous number of opportunities to businesses to collect imperfect but useful information which helps them planning efficiently to meet future demand. A good example is the internet. Visits to commercial web sites constitute a source of partial information on future demands of one or more of the commodities (or services) offered by companies. Many factors contribute to make inventories hard to be fully observed by the management. Using Hidden Markov Models techniques we exploit partial information on inventory systems to estimate the current inventory level as well as future demands. The parameters of the model are updated via the EM algorithm.

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In this paper, several properties of the complex matrix variate Dirichlet type I distribution are studied. Also, the asymptotic expansion of the probability density function of the complex matrix variate Dirichlet distribution is derived.

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For positive invertible operators on a Hilbert space, Fiedler and Pt´ak introduced the spectral geometric mean which is a modification of the geometric mean A#B of operators. In this note, we show that it is characterized by Riccati equations, which shows its basic properties easily.

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Recently some results on spaces with a special weak-base were obtained in terms of weak-open maps and sequence-covering maps of metric spaces. In this paper, we give further results on weak-open maps and sequence-covering maps. Moreover, a question of Lin and Yan is answered.

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The purpose of this paper is to study weak and strong convergence of a new implicit iteration process to a common fixed point for a finite family of nonexpansive mappings in a uniformly convex Banach space. The results obtained in this paper extend and improve the corresponding results of [C. E. Chidume, N. Shahzad, Strong convergence of an implicit iteration process for a finite family of nonexpansive mappings, Nonlinear Anal. 62 (2005) 1149-1156; H.K. Xu, R. Ori, An implicit iterative process for nonexpansive mappings, Numer. Funct. Anal. Optim. 22 (2001) 767-773].

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We define the geometric mean of positive operators on a Hilbert space as a solution of the Riccati equation, and show some basic properties from the equation.

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The main purpose of this paper is to study an iteration procedure for finding a common fixed point of a countable family of nonexpansive mappings in Banach spaces. We introduce a Mann type iteration procedure. Then we prove that such a sequence converges weakly to a common fixed point of a countable family of nonexpansive mappings. Moreover, we apply our result to the problem of finding a common fixed point of a pair of nonexpansive mappings and the problem of finding a common solution of the fixed point problem and the variational inequality problem.

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This paper theoretically describes how to compose a single Pythagorean hodograph (PH) quintic B´ezier spiral segment, between two circles with one circle inside the other. A spiral is free of local curvature extrema, making spiral design an interesting mathematical problem with importance for both physical and aesthetic applications. The curvature of a spiral varies monotonically with arc-length. A polynomial curve with a PH has the properties that its arc-length is a polynomial of its parameter, and its offset is a rational algebraic expression. A quintic is the lowest degree PH curve that may have an inflection point and that inflection point allows a segment of it to be joined to a straight line segment while preserving continuity of curvature, continuity of tangent direction, and continuity of position. A PH quintic spiral allows the design of fair curves in a NURBS based CAD system. It is also suitable for applications such as highway design in which the clothoid has traditionally been used. We simplify and complete the analysis on earlier results on PH quintic spiral segments which are proposed as transition curve elements, and examine techniques for curve design using the new results.

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In this paper, as a generalization of a BCK-algebra, we introduce the notion of a BE-algebra, and using the notion of upper sets we give an equivalent condition of the filter in BE-algebras.

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The intuitionistic fuzzification of a d-algbera is considered, and related results are investigated. The notion of equivalence relations on the family of all intuitionistic fuzzy d-algebras of a d-algebra is introduced, and then some properties are discussed. The concept of intuitionistic fuzzy topological d-algebras is introduced, and some related results are obtained.

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In this paper, we study some theories of lexicographic products of ordered commutative monoids. In particular we show that the lexicographic product of the ordered commutative monoid of nonnegative integers and the ordered commutative monoid of nonnegative rational numbers admits elimination of quantifiers in some expansive language of the language of ordered monoids.

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Further properties of intuitionistic fuzzy setting of several ideals of a semigroup are discussed.

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We introduce the notion of an extension of hyper K-algebra and Smarandache hyper (∩,∈)-ideal in hyper K-algebra, and investigate its properties.

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