Incomplete pairwise comparison matrices and weighting methods

A special class of preferences, given by a directed acyclic graph, is considered. They are represented by incomplete pairwise comparison matrices as only partial information is available: for some pairs no comparison is given in the graph. A weighting method satisfies the property linear order preservation if it always results in a ranking such that an alternative directly preferred to another does not have a lower rank. We study whether two procedures, the Eigenvector Method and the Logarithmic Least Squares Method meet this axiom. Both weighting methods break linear order preservation, moreover, the ranking according to the Eigenvector Method depends on the incomplete pairwise comparison representation chosen.

Gázolaj-jövedékiadó verseny az Európai Unióban (Fiscal competition on the market for diesel fuel in the European Union)

A tanulmány azt a kérdést vizsgálja, hogy versenyeznek-e az európai kormányok gázolajra vonatkozó jövedékiadó-kulcsaikkal a nagyobb adóbevételekért, és ha igen, befolyásolja-e az országok mérete kormányaik adóztatási stratégiáját. Az üzemanyagturizmussal szembesülő kormányok adókivetési magatartását egy kétországos adóverseny modellel jelezzük előre, amelyben a standard modellektől eltérően a fogyasztók kereslete árrugalmas. Megmutatjuk, hogy ha a kereslet nem teljesen rugalmatlan, mint Nielsen [2001], illetve Kanbur-Keen [1993] modelljeiben, akkor a nagy ország kormányának egyensúlyi viselkedése nemcsak abban különbözik a kicsiétől, hogy nagyobb adót állapít meg, hanem abban is, hogy válaszfüggvénye meredekebb. Az aszimmetrikus adóverseny általunk használt modelljét a dízelüzemanyagoknak 16 európai ország 1978 és 2005 közötti jövedékiadó-adatain vizsgáljuk. Az 1995 és 2005 közötti időszakra vonatkozó becslési eredményeink megerősítik, hogy az európai országok szomszédaik adókulcs-változtatásának hatására változtattak saját adókulcsaikon, és hogy a területileg/gazdaságilag kisebb országok kisebb intenzitással reagáltak szomszédaik adóváltoztatásra, mint a nagyobbak. Tanulmányunk ezzel magyarázatot nyújt arra is, hogy miért erősödött fel a tagállamok jövedéki adókulcsainak méret szerinti differenciálódása az elmúlt bő tíz évben, valamint hogy miért nem sikerült az Európai Uniónak a minimumadószintre vonatkozó előírásával előbbre lépnie az egységes adóztatás megvalósításában. / === / The paper assesses spatial competition in diesel taxation among European governments. By adding an extension to the standard model, it is shown that asymmetric competition – small countries undercutting large – implies that small countries respond less strongly to tax changes by their neighbours than large countries do. An estimate is then made of the fiscal reaction functions for national governments, employing a first-difference regression model with a weighting scheme constructed from road-traffic density data at national borders. Data from 16 countries (EU-15 minus Greece plus Norway and Switzerland) between 1978 and 2005 provides evidence that European governments set their diesel tax interdependently, and moreover, that small European countries tend to react less strongly to changes in their competitors' tax rate than large countries do.

Computer aided licence selection

A model of multiple criteria decision making is presented for selecting the “best” of a finite number of alternatives. Techniques of scoring the alternatives and weighting the criteria are combined with different evaluating procedures and amalgamated in an interactive algorithm. Application of this method for choosing the best tender in a competitive bidding is discussed and a case is presented in some detail.

Real effective exchange rates for 178 countries: A new database

We use data on exchange rates and consumer price indices and the weighting matrix derived by Bayoumi, Lee and Jaewoo (2006) to calculate consumer price index-based REER. The main novelties of our database are that (1) it includes data for 178 countries –many more than in any other publicly available database– plus an external REER for the euro area, using a consistent methodology; (2) it includes up-to-date REER values, such as data for January 2012; and (3) it is relatively easy to calculate REER against any arbitrary group of countries. The annual database is complete for 172 countries and the euro area for 1992-2011 and data is available for six other countries for a shorter period. For several countries annual data is available for earlier years as well, eg data is available for 67 countries from 1960. The monthly database is complete for 138 countries for January 1995-January 2012, and data is also available for 15 other countries for a shorter period. The indicators calculated by us are freely downloadable and will be irregularly updated.

Spillovers from Foreign Direct Investment in Central and Eastern Europe. An index for measuring a country’s potential to benefit from technology spillovers

In the paper, we construct a composite indicator to estimate the potential of four Central and Eastern European countries (the Czech Republic, Hungary, Poland and Slovakia) to benefit from productivity spillovers from foreign direct investment (FDI) in the manufacturing sector. Such transfers of technology are one of the main benefits of FDI for the host country, and should also be one of the main determinants of FDI incentives offered to investing multinationals by governments, but they are difficult to assess ex ante. For our composite index, we use six components to proxy the main channels and determinants of these spillovers. We have tried several weighting and aggregation methods, and we consider our results robust. According to the analysis of our results, between 2003 and 2007 all four countries were able to increase their potential to benefit from such spillovers, although there are large differences between them. The Czech Republic clearly has the most potential to benefit from productivity spillovers, while Poland has the least. The relative positions of Hungary and Slovakia depend to some extent on the exact weighting and aggregation method of the individual components of the index, but the differences are not large. These conclusions have important implication both the investment strategies of multinationals and government FDI policies.

On optimal completions of incomplete pairwise comparison matrices

An important variant of a key problem for multi-attribute decision making is considered. We study the extension of the pairwise comparison matrix to the case when only partial information is available: for some pairs no comparison is given. It is natural to define the inconsistency of a partially filled matrix as the inconsistency of its best, completely filled completion. We study here the uniqueness problem of the best completion for two weighting methods, the Eigen-vector Method and the Logarithmic Least Squares Method. In both settings we obtain the same simple graph theoretic characterization of the uniqueness. The optimal completion will be unique if and only if the graph associated with the partially defined matrix is connected. Some numerical experiences are discussed at the end of the paper.

Measuring Benefits of Technology Spillovers from Foreign Direct Investment in Central and Eastern Europe

In this paper, we construct a composite indicator to estimate the potential of four Central and Eastern European countries (the Czech Republic, Hungary, Poland and Slovakia) to benefit from productivity spillovers from foreign direct investment (FDI) in the manufacturing sector. Such transfers of technology are one of the main benefits of FDI for the host country, and should also be one of the main determinants of FDI incentives offered to investing multinationals by governments, but they are difficult to assess ex ante. For our composite index, we use six components to proxy the main channels and determinants of these spillovers. We have tried several weighting and aggregation methods, and we consider our results robust. According to the analysis of our results, between 2003 and 2007 all four countries were able to increase their potential to benefit from such spillovers, although there are large differences between them. The Czech Republic clearly has the most potential to benefit from productivity spillovers, while Poland has the least. The relative positions of Hungary and Slovakia depend to some extent on the exact weighting and aggregation method of the individual components of the index, but the differences are not large. These conclusions have important implications both for the investment strategies of multinationals and government FDI policies.