the study of existence of equilibria for generalized games without lower semicontinuity in locally topological vector spaces the aim of this paper is to establish general existence results of maximal elements for l majorized mappings which are in turn used to establish the general existence theorems of equilibria for generalized games resp abstract economics without lower semicontinuity for both constraint and preference mappings correspondences and in which strategic resp commodity spaces may not be compact the set of players resp agents may not be countable and underlying spaces are either finite or infinite dimensional locally topological vector spaces our results unify or improve corresponding results in the literature

a generalized fixed point theorem and equilibrium point of an abstract economy a generalization of an earlier fixed point theorem to a noncompact case is proved and has been applied to prove the existence of equilibrium points of abstract economies

existence of equilibria for generalized games without paracompactness in this paper we first prove an existence theorem of maximal elements without any paracompactness then we establish an existence theorem of equilibrium points of generalized games with infinite many players and without any paracompactness by applying our maximal element existence theorem our equilibrium existence theorem answers the two questions raised by kim 6 in the affirmative

approximation from the exterior of a multifunction and its applications in the sweeping process abstract we approximate from the exterior an upper semicontinuous multifunction c from a metric space into the closed convex subsets of a normed space by means of globally lipschitzean multifunctions in particular when c is continuous this approximation allows us to reduce the problem of the existence of solutions of the associated evolution equation to the case in which c is lipschitzean

dynamic correlations in domain growth a 1 n expansion the authors consider the dynamics of the n component ginzburg landau model with nonconserved order parameter model a following a quench from a high temperature equilibrium state to zero temperature the two time correlation function of the order parameter field is found in the 1 n expansion to have the asymptotic scaling form ck t t t d2 t t lambda 2 f k2t k2t for t t with f 0 0 constant the form of the new exponent lambda which is a non trivial function of n and d was given explicitly to o 1 n in a recent letter the purpose of this study is to present a more detailed account of the calculation leading to the o 1 n form for lambda they also examine the role of thermal fluctuations in the ordered phase and the effect of long range initial correlations on the ordering process

approachability and fixed points for non convex set valued maps this paper studies the approachability of upper semicontinuous nonconvex set valued maps by single valued continuous functions and its applications to fixed point theory the use of approximate selections was initiated by j von neumann 41 in the proof of his well known minimax principle this remarkable property was extended to the normed space setting by cellina s and cellina and lasota 9 in the context of a degree theory for upper semicontinuous convex compact valued maps it also holds for maps with compact contractible values defined on finite polyhedra of iw ma cole11 40 and more generally defined on compact anrs mclennan 39 it was recently taken up by gbrniewicz granas and kryszewski 22 241 in the context of an index theory for non convex maps defined on compact anrs the content of this paper is divided into three parts the first part is devoted to background material concerning the types of spaces and set valued maps studied herein in the second part we define the abstract class d of approachable set valued maps that is the class of maps a x y

a new generalization of the yannelis prabhakar equilibrium existence theorem for abstract economies abstract in this paper we prove an intersection theorem for an infinite family of correspondences defined on non compact spaces and apply this result to give a new generalization of the yannelis prabhakar existence theorem for equilibrium of abstract economies

quantitative statistical assessment of conditional models for synthetic aperture radar many applications of object recognition in the presence of pose uncertainty rely on statistical models conditioned on pose for observations the image statistics of three dimensional 3 d objects are often assumed to belong to a family of distributions with unknown model parameters that vary with one or more continuous valued pose parameters many methods for statistical model assessment for example the tests of kolmogorov smirnov and k pearson require that all model parameters be fully specified or that sample sizes be large assessing pose dependent models from a finite number of observations over a variety of poses can violate these requirements however a large number of small samples corresponding to unique combinations of object pose and pixel location are often available we develop methods for model testing which assume a large number of small samples and apply them to the comparison of three models for synthetic aperture radar images of 3 d objects with varying pose each model is directly related to the gaussian distribution and is assessed both in terms of goodness of fit and underlying model assumptions such as independence known mean and homoscedasticity test results are presented in terms of the functional relationship between a given significance level and the percentage of samples that wold fail a test at that level

stochastic complexity and modeling on demontre un theoreme fondamental qui donne une borne inferieure pour la longueur de code et donc pour les erreurs de prediction on definit les notions d information a priori et d information utile dans les donnees

generalized games and non compact quasi variational inequalities abstract in this paper by developing an approximation approach which is originally due to tuleca in 1986 we prove the existence of equilibria for generalized games in which constraint mappings correspondences are lower resp upper semicontinuous instead of having lower resp upper open sections or open graphs in infinite dimensional topological spaces then existence theorems of solutions for quasi variational inequalities and non compact generalized quasi variational inequalities are also established finally existence theorems of constrained games with non compact strategy sets are derived our results unify and generalize many well known results given in the existing literature in particular we answer the question raised by yannelis and prabhakar in 1983 in the affirmative under more weaker conditions

critical dynamics of the three dimensional ising model a monte carlo study extensive monte carlo simulations have been performed to analyze the dynamical behavior of the three dimensional ising model with local dynamics we have studied the equilibrium correlation functions and the power spectral densities of odd and even observables the exponential relaxation times have been calculated in the asymptotic one exponential time region we find that the critical exponentz 2 09 0 02 characterizes the algebraic divergence with lattice size for all observables the influence of scaling corrections has been analyzed we have determined integrated relaxation times as well their dynamical exponentzint agrees withz for correlations of the magnetization and its absolute value but it is different for energy correlations we have applied a scaling method to analyze the behavior of the correlation functions this method verifies excellent scaling behavior and yields a dynamical exponentzscal which perfectly agrees withz

exact evaluation of the collapse phase boundary for two dimensional directed polymers the phase boundary of the collapsed phase for a directed polymer on a square lattice in the presence of an attractive wall and monomer monomer interactions is calculated exactly using transfer matrix techniques the position of the multicritical point is also identified

distribution of the kurtosis statistic b2 for normal samples summary d agostino pearson 1973 gave percentage points of the distribution of b2 for independent observations from a common univariate normal distribution their results can be adequately approximated when the first three moments of the distribution of b2 have been determined by fitting a linear function of the reciprocal of a x2 variable and then using the wilson hilferty transformation evidence is presented suggesting that the same method of approximation is satisfactory for the b2 statistic calculated from any set of linear least squares residuals on the hypothesis of normal homoscedastic errors

self consistent screening approximation for critical dynamics we generalize bray s self consistent screening approximation to describe the critical dynamics of the theory in order to obtain the dynamical exponent z we have to make an ansatz for the form of the scaling functions which fortunately can be restricted by general arguments numerical values of z for d 3 and n 1 10 are obtained using two different ansatz and differ by a very small amount in particular the value of obtained for the three dimensional ising model agrees well with recent monte carlo simulations

generalized abstract economy and systems of generalized vector quasi equilibrium problems the present paper is in two fold the first fold is devoted to the existence theory of equilibria for generalized abstract economy with a lower semicontinuous constraint correspondence and a fuzzy constraint correspondence defined on a noncompact nonparacompact strategy set in the second fold we consider systems of generalized vector quasi equilibrium problems for multivalued maps for short sgvqeps which contain systems of vector quasi equilibrium problems systems of generalized mixed vector quasi variational inequalities and debreu type equilibrium problems for vector valued functions as special cases by using the results of first fold we establish some existence results for solutions of sgvqeps

equilibria and maximal elements of abstract fuzzy economies and qualitative fuzzy games the purpose of this paper is to introduce the concepts of abstract fuzzy economies and qualitative fuzzy games and to use the connectedness of topological spaces without linear structures to study the existence problems of fuzzy equilibrium and fuzzy maximal elements of abstract fuzzy economies and qualitative fuzzy games the results presented in this paper are new in the cases of ordinary abstract economies and ordinary qualitative games

on the approximation of upper semi continuous correspondences and the equilibriums of generalized games in section 1 we explain some of the definitions and terminology that we use in section 2 we prove several theorems concerning the approximation of upper semi continuous correspondences having for range a locally convex space theorems 1 and 2 and corollary 1 generalize certain approximation theorems by g haddad 16 pp 1352213541 g haddad and j m lasry 17 pp 299 3001 and j p aubin and a cellina 2 pp 86891 see also f s de blasi lo and j m lasry and r robert 21 although some of the details of the proofs of theorems 1 and 2 are new the basic ideas are taken from the above mentioned papers theorem 3 shows that the correspondences in the approximating families can be chosen so that they are regular see section 1 this theorem see the remark following its proof contains a classical result of m hukuhara 18 pp 56573 theorem 3 is proved using theorem 2 and propositions 1 and 4 variants of propositions 2 3 and 4 were given in 193 in section 3 we give among others theorem 5 which concerns the existence of equilibriums of generalized games abstract economies the main purpose of this result is to replace the continuity hypothesis in the w shafer h sonnenschein equilibrium theorem for generalized games by an upper semi continuity one the proof of theorem 5 is based on the results on the approximation of upper semi continuous correspondences obtained in section 2 theorem 5 us used in section 4 in section 4 we establish theorems 6 and 7 these theorems show that certain statements concerning the equilibrium of generalized games are equivalent to certain statements concerning minimax inequalities of k fan type theorems 1 2 3 5 6 and 7 are the main results of this paper 267 0022 247x 88 3 00

equilibria of non compact generalized games with l majorized preference correspondences an existence theorem of maximal elements in a non compact set for l majorized correspondences is obtained next an existence theorem of an equilibrium in a qualitative game is proved and is then applied to achieve an existence theorem of equilibrium in a non compact abstract economy with l majorized preference correspondences these results are either very closely related to or generalizations of those recent results of borglin keiding yannelis prabhakar toussaint and tulcea