A quadratic lower bound for subset sums

Let A be a finite nonempty subset of an additive abelian group G, and let \Sigma(A) denote the set of all group elements representable as a sum of some subset of A. We prove that |\Sigma(A)| >= |H| + 1/64 |A H|^2 where H is the stabilizer of \Sigma(A). Our result implies that \Sigma(A) = Z/nZ for every set A of units of Z/nZ with |A| >= 8 \sqrt{n}. This consequence was first proved by Erd\H{o}s and Heilbronn for n prime, and by Vu (with a weaker constant) for general n.Comment: 12 page

Case Note: Slovenia

I Ips 7/2009,prepared by Kristina Brezjan (Student, Law Faculty of the University of Maribor) and reviewed by Dr. Liljana Selinšek. (Mobile telephone and SIM card; data of the incoming and outgoing calls of the appellants telephone number and of the base stations; whether illegally obtained evidence)

Case Note: Republic of Slovenia

I Up 505/2003. The Supreme Court of the Republic of Slovenia. Date: 18 June 2003

The long road from Ljubljana to Kyoto: Implementing emissions trading mechanism and CO2 tax

According to the Kyoto Protocol, Slovenia is required to reduce GHG emissions to an average of 8% below base year 1986 emissions in the period 2008-2012. Slovenia established different measures for reducing GHG emissions long before its ratification. It was first transition country who implemented CO2 tax in the 1997. Several changes in CO2 tax have not brought the desired results. CO2 emissions have actually increased. At the beginning of 2005, Slovenia joined other EU member states by implementing the emissions trading instrument, defined by new EU Directive. At the same time, Slovenia has adopted a new CO2 tax system, which is compatible with the new circumstances. The main purpose of this paper is to present the characteristics of Slovenian approach to national allocation plan for emissions trading and analyze the problems of the CO2 tax in Slovenia. Paper also describes the compliance cost of achieving the Kyoto target and expected movements on the Slovenian allowances market.CO2 tax, Kyoto Protocol, emissions trading, national allocation plan, emissions allowances

Income Situation of Agricultural Households in Slovenia after EU Accession: Impacts of Different Direct Payments Policy Options

Paper investigates income effects of different direct payments policy options after the accession of Slovenia to the EU by application of a static deterministic total income model for rural households in Slovenia (TIM). Model is based on actual income data of 120 agricultural households in Slovenia. With respect to pre-accession baseline situation and accession agreement, income situation of analyzed households is likely to improve under all analyzed policy scenarios. Estimated benefits are highest in case of standard direct payments scheme, followed by basic flat-rate area payment option (entirely decoupled). Model results reveal also that policy reform will have redistributive impacts in favour of agricultural households engaged in extensive agricultural production.EU enlargement, CAP reform, total income, income impacts, Slovenia, Farm Management, Q12, Q18,

After 20 Years of Status Quo: The Failure of Gradualism in Slovenia’s Post-Socialist Transition

In the past 20 years, the Slovenia has been praised as the richest former socialist country, having accomplished the advancement from borrower into donor status at the World Bank and having entered the European Monetary Union as the first country from former socialist block. In the due course of transition to market, Slovenia adopted the gradualist approach to economic reform, emphasizing gradual privatization, excessive regulation of the labor market and financial sector as well as the slow stabilization of public finances. In this paper, we review macroeconomic performance of Slovenia in past two decades in a comparative perspective. The paper outlines the growth trajectory of Slovenia from the onset of Habsburg Empire to the present. We showed that until 1939, Slovenia has almost fully converged to the income per capita frontier of Austria and Italy while the income per capita diverged substantially in the period 1945-1990 from Western European frontier. We review the contours of labor market protectionism, state dominance in banking and financial sector and emergence of the corporate oligarchy as the main symptoms of stalled economic performance given a substantial differential in income per capita between Slovenia and EU15. Moreover, we demonstrate how former communist elites transformed into powerful networks of interest groups which preserved status quo from socialist period through systemic blockade of key economic reforms to stabilize public finances in the light of age-related pressures and to boost productivity growth and structural change.post-socialist transition, macroeconomic stabilization, economic growth, political economy, Slovenia