Global crises: Is the Keynesian recipe relevant if applied under a global governance?

Keynesian policy was quite successful in the post-war decades in Western Europe, but by the late 1960s lost its efficiency due to changes in conditions rather than its mistaken logic. The lesson from the first global crisis erupting in early 1970s and also from the subsequent several crises since then is that the increasing crisis propensity of the world economy is rooted in its inherent disequilibria stemming from deep inequalities, asymmetrical interdependencies and disintegrated socio-economic structures. In view of the failure of the prevailing methods of crisis management, particularly those undifferentiated, antisocial austerity measures corresponding to a neo-liberal monetarist concept which neglects this lesson, many economists prefer the Keynesian recipe. However, since global crises need global solution, and the spread of conspicuous consumption modify the demand constraint, its application must be adjusted to reality, and requires some global governance which may pave the way for a global oeco-social market economy.

Solution of the Least Squares Method problem of pairwise comparison matrices

The aim of the paper is to present a new global optimization method for determining all the optima of the Least Squares Method (LSM) problem of pairwise comparison matrices. Such matrices are used, e.g., in the Analytic Hierarchy Process (AHP). Unlike some other distance minimizing methods, LSM is usually hard to solve because of the corresponding nonlinear and non-convex objective function. It is found that the optimization problem can be reduced to solve a system of polynomial equations. Homotopy method is applied which is an efficient technique for solving nonlinear systems. The paper ends by two numerical example having multiple global and local minima.