The article is concerned with the extremely urgent problem of goods counterfeiting and falsification, which has grown to a nation-wide scale. Methods to prove facts of counterfeiting and/or falsification of the products have been considered.
The maximum Nash welfare (MNW) solution — which selects an allocation that maximizes the product of utilities — is known to provide outstanding fairness guarantees when allocating divisible goods. And while it seems to lose its luster when applied to indivisible goods, we show that, in fact, the MNW solution is unexpectedly, strikingly fair even in that setting. In particular, we prove that it selects allocations that are envy free up to one good — a compelling notion that is quite elusive when coupled with economic efficiency. We also establish that the MNW solution provides a good approximation to another popular (yet possibly infeasible) fairness property, the maximin share guarantee, in theory and — even more so — in practice. While finding the MNW solution is computationally hard, we develop a nontrivial implementation, and demonstrate that it scales well on real data. These results lead us to believe that MNW is the ultimate solution for allocating indivisible goods, and underlie its deployment on a popular fair division website.
Among different issues of modern world trade there are some problems known as non-trade concerns, which include environmental issues, climate change, human and animal health. In different international negotiations states have been aiming to liberalize trade in Environmental Goods and Services. This expression became a formal term for trade in the specific area pertaining to environment. Unfortunately, using nowadays equivalent of this English term Ecological goods and services in Russian is incorrect. The author claims that the existing linguistic discrepancy may have negative consequences and for avoiding them the author proposes to introduce another term “goods and services related to environment” in Russianthat matches the English one.
The article makes the analysis of the current legislation in the field of control and regulation of illegal movement of goods containing intellectual property objects, as well as propose measures to improve it in the field.
The Internet of Things is being actively introduced in Russian public governance for inspection and oversight. In this chapter, based on an analysis of IoT policy, legal acts, secondary statistical data, and the authors’ own involvement in testing IoT technologies, we formulate cases and use them as a basis for an IoT classification oriented to the needs of government agencies. The spheres of application we consider are transport, justice, retail, and manufacturing. The case we study in greatest detail is that of the fur industry. We apply the method of cost–benefit analysis and examine the costs of using IoT in public governance to regulate the turnover of fur goods as well as the benefits for key stakeholders (government, society, business). We identify barriers that prevent IoT technology from being used effectively and describe the effects of implementing IoT in the fur industry and other areas in which IoT is used for inspection and oversight.
We consider certain spaces of functions on the circle, which naturally appear in harmonic analysis, and superposition operators on these spaces. We study the following question: which functions have the property that each their superposition with a homeomorphism of the circle belongs to a given space? We also study the multidimensional case.
We consider the spaces of functions on the m-dimensional torus, whose Fourier transform is p -summable. We obtain estimates for the norms of the exponential functions deformed by a C1 -smooth phase. The results generalize to the multidimensional case the one-dimensional results obtained by the author earlier in “Quantitative estimates in the Beurling—Helson theorem”, Sbornik: Mathematics, 201:12 (2010), 1811 – 1836.
We consider the spaces of function on the circle whose Fourier transform is p-summable. We obtain estimates for the norms of exponential functions deformed by a C1 -smooth phase.