Subhypergraph counts in extremal and random hypergraphs and the fractional <Emphasis Type="Italic">q</Emphasis>-independence

We study the extremal parameter N(n,m,H) which is the largest number of copies of a hypergraph H that can be formed of at most n vertices and m edges. Generalizing previous work of Alon (Isr. J. Math. 38:116–130, 1981), Friedgut and Kahn (Isr. J. Math. 105:251–256, 1998) and Janson, Oleszkiewicz and the third author (Isr. J. Math. 142:61–92, 2004), we obtain an asymptotic formula for N(n,m,H) which is strongly related to the solution α _q (H) of a linear programming problem, called here the fractional q-independence number of H. We observe that α _q (H) is a piecewise linear function of q and determine it explicitly for some ranges of q and some classes of H. As an application, we derive exponential bounds on the upper tail of the distribution of the number of copies of H in a random hypergraph.     

Proposition of a General Formula for Price Indices

In this article, we propose a general formula for aggregative price indices that satisfies most postulates coming from the axiomatic price index theory. We show that the ideal Fisher index, Laspeyres and Paasche formulas, and a lot of other indices are particular cases of the proposed formula. Moreover, using the general formula we can easily define new indices, that would satisfy given postulates. We also present an interesting result for the proposed formula.     

A version of the Kolmogrov–Feller weak law of large numbers for maximal weighted sums of random variables

Abstract

In this paper we establish Kolmogrov–Feller weak law of large numbers for maximal weighted sums of i.i.d. random variables.     

Pension scheme fees and charge ratios in 44 countries: A comparative study

Based on data received from pension supervisory authorities, the article reviews 85 different pension schemes in 44 jurisdictions by looking at fees and charges as well as their legal ceilings and their development since 2014. A key finding is the observed decrease in fees and caps. The article presents jurisdictions according to clusters, i.e. by groups of countries with identical or very similar items already covered by pension fees, and analyses the extent to which various cost and fee elements are covered by fees charged to members. Finally, we calculate charge ratios for each cluster to quantify the impact of fees and charges on pension savings. Occupational defined contribution pension schemes and personal plans linked to employment tend to be much more cost effective than personal schemes that have no direct employment link.     

Circular economy and the city: an urban political economy agenda

ABSTRACT

The circular economy (CE) has become a matter of urban development. A literature review shows that the CE debate is biased toward technology-driven industrial change, while bracketing broader socio-political interests. We address this gap by exploring the political economy of scale of the CE. Looking into the case of Brussels (Belgium), a city that has recently adopted the CE as part of its socio-economic strategy, we explore how the anticipated transition to a ‘circular city’ chimes with long-standing urban development agendas. While there is little evidence of stable growth coalitions between corporate and political elites, we argue that the CE provides an ‘urban sustainability fix’ by selectively incorporating ecological goals in urban governance strategies. We further scrutinise the landscape of diverse and heterogenous CE practices in food and transport, highlighting how they are regulated and organised, what labour conditions they offer, and how they are anchored in urban space.     

Altruism and efficient allocations in three-generation households

Journal of Risk and Uncertainty - In this paper we test the efficiency of family resource allocation in three-generation households. Understanding how the so-called “squeezed middle”...     

Liberalization of services in Europe: Polish perspective on economic implications of the Services Directive

The original EU Service Directive proposal met widespread opposition and was subsequently narrowed down. Some believed that the competition from the New Member States would endanger the situation of the “old” EU service providers. We assess the importance of the Service Directive for Poland and other EU members by performing a revealed comparative advantage analysis and a computable general equilibrium simulation of the outcome. The liberalization provides minimal welfare gains for Poland and the main opponents of the Service Directive, while they are expected to be higher for small economies open to trade in services.