one of the main members of the large aggregating proteoglycans (pgs) family is versican which is able to bind to hyaluronate. versican is a chondroitin sulfate proteoglycan and is a key ingredient of the extracellular matrix.  due to its widespread expression in the body, versican is involved in cell adhesion, proliferation and migration. induced expression of versican is often observed in tiss...

motivated by an arens regularity problem, we introduce the concepts of matrix banach space and matrix banach algebra. the notion of matrix normed space in the sense of ruan is a special case of our matrix normed system. a matrix banach algebra is a matrix banach space with a completely contractive multiplication. we study the structure of matrix banach spaces and matrix banach algebras. then we...

The current paper contributes a novel framework for solving a class of linear matrix differential equations. To do so, the operational matrix of the derivative based on the shifted Bernoulli polynomials together with the collocation method are exploited to reduce the main problem to system of linear matrix equations. An error estimation of presented method is provided. Numerical experiments are...

Following the seminal work of Hurwicz (1972), the manipulability and efficiency of allocation mechanisms in pure exchange economies have been studied intensively. Zhou (1991) established that any Pareto-efficient and strategy-proof allocation mechanism is dictatorial in exchange economies with two agents having classical (i.e., continuous, strictly monotonic, and strictly convex) preferences. T...

This paper investigates the implications of groups or coalitions of players acting in their collective interest in non-cooperative normal form games. It is assumed that players are unable to make binding agreements, and pre-play communication is neither precluded nor assumed. The main idea is that each member of a coalition will con ̄ne play to a subset of their strategies if it is in their mutu...

In the usual framework of continuum games with externalities, we substantially generalize Cournot–Nash existence results [Balder, A unifying approach to existence of Nash equilibria, Int. J.Game Theory 24 (1995) 79–94; On the existence of Cournot–Nash equilibria in continuum games, J.Math. Econ. 32 (1999) 207–223; A unifying pair of Cournot–Nash equilibrium existence results, J. Econ. Theory 10...

We examine the consequences of lobbying and vote buying, assuming this practice were allowed and free of stigma. Two “lobbyists” compete for the votes of legislators by o¤ering up-front payments to the legislators in exchange for their votes. We analyze how the lobbyists’budget constraints and legislator preferences determine the winner and the payments. JEL classi…cation numbers: P16, C72 Keyw...

A matrix $Pintextmd{C}^{ntimes n}$ is called a generalized reflection matrix if $P^{H}=P$ and $P^{2}=I$‎. ‎An $ntimes n$‎ ‎complex matrix $A$ is said to be a reflexive (anti-reflexive) matrix with respect to the generalized reflection matrix $P$ if $A=PAP$ ($A=-PAP$)‎. ‎In this paper‎, ‎we introduce two iterative methods for solving the pair of matrix equations $AXB=C$ and $DXE=F$ over reflexiv...