the object of this paper is to establish a summability factor theorem for summabilitya, , k  1 k  where a is the lower triangular matrix with non-negative entries satisfying certain conditions.

we obtain sufficient conditions for the series σanλn to be absolutely summable of order k by atriangular matrix.

it is proved that by using bounds of eigenvalues of an interval matrix, someconditions for checking positive deniteness and stability of interval matricescan be presented. these conditions have been proved previously with variousmethods and now we provide some new proofs for them with a unity method.furthermore we introduce a new necessary and sucient condition for checkingstability of interv...

I prove that there is no systematic rule for aggregating individual preferences that satisfies the standard axioms of Independence, Pareto, and Acyclicity, that avoids making any individual a weak dictator, and that is sensitive to substantial changes in individual preferences. When there are three or more alternatives, the latter axiom requires that a preference reversal in the same direction ...

This paper extends the framework of Kajii and Morris (1997) to study the question of robustness to incomplete information in repeated games. We show that dynamically robust equilibria can be characterized using a one-shot robustness principle that extends the one-shot deviation principle. Using this result, we compute explicitly the set of dynamically robust equilibrium values in the repeated p...

Abstract In this article we combine Debreu’s (Proc Natl Acad Sci 38(10):886–893, 1952) social system with Hurwicz’s (Econ Design 1(1):1–14, 1994; Am Econ Rev 98(3):577–585, 2008) ideas of embedding a “desired” game form into “natural” that includes all feasible behavior, even if it is “illegal” according to the desired form. For resulting socio-legal extend concepts and its equilibria Debreu–Hu...

this paper analyzes a linear system of equations when the righthandside is a fuzzy vector and the coefficient matrix is a crisp m-matrix. thefuzzy linear system (fls) is converted to the equivalent crisp system withcoefficient matrix of dimension 2n × 2n. however, solving this crisp system isdifficult for large n because of dimensionality problems . it is shown that thisdifficulty may be avoide...

General equilibrium theory (GET) took the entire edifice of economic theory by storm during the 1950s. Its elegant existence theorems, proved by, among others, Kenneth Arrow and Gerard Debreu (1954) and Lionel McKenzie (1959), provided a framework of analysis that made more precise and sound the main intuitions of the neoclassical school. An even more important consequence of these developments...