Solution: The shock causes a leftward shift in the IS curve. Recall that the SRAS is horizontal and LRAS is vertical. Also, in the long run Y always returns to its original level, and in the short run, P does not change (sticky prices), so I won’t mention these explicitly below. The question doesn’t mention efficiency wages, so we’ll assume that the FE curve is our usual output supply curve, an...

We describe here an optical device, based on time-delays, for solving the set splitting problem which is well-known NP-complete problem. The device has a graph-like structure and the light is traversing it from a start node to a destination node. All possible (potential) paths in the graph are generated and at the destination we will check which one satisfies completely the problem’s constrains.

This paper is concerned with the question of defining the bargaining set, a cooperative game solution, when cooperation takes place in a dynamic setting. The focus is on dynamic cooperative games in which the players face (finite or infinite) sequences of exogenously specified TU-games and receive sequences of imputations against those static cooperative games in each time period. Two alternati...

This paper is about an applicative solution to the IMPERATIVE Set Union Problem, as posed by Peyton-Jones [3]. The adjectivisation is used here to emphasise that the problem was thought to pose significant questions in finding an applicative solution of the same order of complexity as the imperative version. We show one such solution, written in the style of KRC [5]. The same reasoning, when ap...

To address the need for published data, considerable effort has gone into formalizing the process of data publication. From funding agencies to publishers, data publication has rapidly become a requirement. Digital Object Identifiers (DOI) and data citations have enhanced the integration and availability of data. The challenge facing data publishers now is to deal with the increased number of p...

Borjas, Problem 4­4 This question asks how the wages of (presumably high‐skilled) natives should change when there is a change in the quantity of available low‐skilled (immigrant) labor assuming that natives and immigrants are complements. Whenever two factors of production are complementary, an increase in one increases the returns to another. So in this case, the llegal alien hiring penaltie...

A new method for solving the hitting set problem is proposed. This method is based on the mapping of the problem onto an integer programming optimization problem. This new approach provides an algorithm with much better performance compare to the algorithms for the bitting set problem that currently are used for solving the diagnosis problem. The relation of this approach with the satisfiabilit...

We consider systems of linear equations, where the elements of the matrix and of the right-hand side vector are linear functions of interval parameters. We study parametric AE solution sets, which are defined by universally and existentially quantified parameters, and the former precede the latter. Based on a recently obtained explicit description of such solution sets, we present three approac...

Given a finite set E and a family F={E1,. . . ,Em} of subsets of E such that F covers E, the famous unicost set covering problem (USCP) is to determine the smallest possible subset of F that also covers E. We study in this paper a variant, called the Large Set Covering Problem (LSCP), which differs from the USCP in that E and the subsets Ei are not given in extension because they are very large...