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The purpose of this paper is to propose a compact model to represent the magnetic field outside the sources. This model provides the multipolar ordering of a spherical harmonic expansion far from the source while being valid in its close proximity.

The authors investigate equivalent surface sources that enable to compute the field very close to any chosen surface that encloses the source. Then the authors present a method to find an appropriate initial basis and its associated inner product that allow to construct multipolar harmonic bases for these equivalent sources, where any vector of order k produces a field that decreases at least as fast as the field produced by a multipole of order k. Finally, those bases are numerically implemented to demonstrate their performances, both far from the source and in its close proximity.

The charge distribution and normal dipole distribution are well-suited to construct multipolar harmonic bases of equivalent sources. These bases can be described by as few parameters as the decreasing spherical harmonic expansion. Comparison with other numerical models shows its ability to compute the field both far from the source and close to it.

A basis for normal dipole distribution has already been described in the literature. This paper presents a general method to construct a multipolar basis for equivalent sources and uses it to construct a basis for single-layer potential.

In the last years global economy has become more integrated and multidirectional. Thus, in a world characterized by multiples center of economic power, firms need to define multipolar strategies based on geographical diversification in several countries that makes them able to compete with everyone, from everywhere and for everything. Despite of the relevance of such strategies, literature on this topic is almost absent. The paper aims to discuss these issues.

Considering the exploratory nature of the research objectives, the authors present a case study for highlighting the main challenges of cross-border M & A under multipolar-world pressures.

The paper evidences new trends in economic geography and multipolar strategies.

The paper offers a new perspective on multipolar strategies.

In this article the mathematical formula of entropy is used to evaluate the degree of anarchy specific to multipolar, bipolar, and balance of power international political systems. Several entropic properties characteristic to these systems are deduced, and it is proved that alliances decrease international systems' entropy. Each international system it is observed is characterized by a specific amount of structural strain, and that under the assumptions of structural neo‐realism the entropy and structural strain move in opposite ways. On the basis of these findings a few properties regarding the stability of international systems are divided and the effects of alliances on international structural strain are examined. In the last part of the paper theoretical conclusions are tested against three empirical cases – the Cold War bipolar system, the XIXth Century European system, and the current one. The article ends with several methodological suggestions regarding a possible generalization of the entropic model.

This paper deals with magnetic field calculations and model‐based prediction of electromagnetic torque pulsations in a brushless DC (BLDC) motor.

The impact of a Halbach‐like magnetization and a multipolar excitation of permanent magnets are analysed. The measurement results from the prototype motors are well‐compared with those obtained from the model calculations. It is shown that the cogging torque in the motor with the multipolar excitation of permanent magnets is reduced six times as compared with the conventional BLDC motor.

The proposed method provides high accuracy of the analysis of coupled electromagnetic phenomena. The comparison between measured and calculated values of electromagnetic torque, cogging torque and EMF shows a very good agreement.

Reduction of the machine cogging torque is essential for practical applications of DC motors, in particular in the robotics industry.

This paper shows that multipolar excitation contributes to essential reduction of the cogging torque in a BLDC motor. This is confirmed by high‐quality numerical models of the motor, positively verified in experiments with motor prototypes.

The aim of this paper is to analyse the recent changes in the role played by Africa as a traditional natural resources supplier for the world economy in a multipolar context. We highlight, on the one hand, how Africa remains a prominent supplier of critical minerals needed for information and communication technologies (ICT), including platinum, vanadium, coltan, chromium, manganese, zirconium, etc., and how the boomerang effect results in Africa also importing electronic waste. On the other hand, we show how the BRICS’ growth model, based on a very intensive use of natural resources acquired through international trade, is now being fuelled by Africa too. BRICS countries (especially China and India) are making foreign direct investments in Africa using their state companies to ensure the supply of natural resources under favourable economic terms. Thus, Africa appears as a disputed territory between the old domination of the advanced capitalist countries and emerging powers like the BRICS. However, this should not mask the fact that the European Union and North America are still the dominant foreign powers in the continent. Finally, we discuss which scenarios are open to further this multipolar moment, particularly in the wake of the great crisis.

The purpose of this paper is to examine processes of Eurasian integration and the veritable ‘culture war’ between Russia and the West over it, while contributing to the theoretical paradigm of geopolitical economy. This paradigm invites us to consider the multiple manifestations of an emerging multipolar world order while scrutinising the extent to which previously popular approaches to the study of international political economy were themselves enmeshed in projects, the architects of which aspired to global hegemony.

The paper employs critical historicism, an approach in which cultural difference is seen as the sedimentation of historically constituted material and ideational processes and which eschews cultural essentialism and orientalising tropes. It is through this lens that Russian state attempts at normalising Eurasian integration processes are examined.

I demonstrate that Russian state organs and officials, as well as ‘political technologists’ attempt to de-politicise processes of Eurasian integration by appealing to both the logic of cultural/civilisational compatibility of affected parties, as well as the logic of economic integration. Such portrayals invite scrutiny; however, it is important that we also consider how Eurasian integration initiatives are the product of a post-Soviet struggle over Eurasian space but represent something more than mere neo-Soviet revisionism.

The paper demonstrates its originality by situating ongoing processes of Eurasian integration within the longer post-Soviet conjuncture and amid processes of international contestation. Moreover, it situates Russian officials and political technologists as active contributors to international debates about the emerging multipolar world order.

This paper aims to provide a theoretical approach of Corporate Social Responsibility (CSR) in order to assess whether CSR will develop as a concept pushing efficiently for more de facto social responsibility or will become a pure marketing artefact. The trade-off between the development of CSR behaviour and lobbying over regulations is a key element that will influence the evolution of CSR. The result is that if the world consolidates or if it tends towards multilateralism to a large extent, then CSR is less likely to have an efficient impact.

Theoretical approach based on three fields: credence goods, greenwashing and political economy.

The coordination is harder for lobbies in the more multilateral scenario. The more politically powerful group would lose its influence on the decision body in the multipolar scenario. If lobbies keep influencing their state governments, the efficiency would also be reduced in the regionalization or multipolar scenarios. The easiness of the greenwashing strategy is also crucial in order to determine the possible evolution of the CSR as a real commitment that benefits environment and society.

Countries may take advantage of CSR by offering an advantage to firms willing to develop CSR thanks to public regulations if greenwashing is easy and if the evolution of the world that prevails is similar to the tripolar or regionalization scenarios. This may also occur under the multipolar scenario but it would necessitate an effective international coordination.

This is the first work that brings together the strategic behaviour of firms with respect to Corporate Social Responsibility and political economy determinants. The predicted evolutions of these two features according to the degree of multilateralism as well as how they are intertwined are also novelties of this paper.

This viewpoint adds context and variety to the “decolonizing international business” debate by engaging in a discussion of the decolonial thinking approach and proposing a broader framework for analysing the link between international business (IB) activities on the one hand and colonisation and decolonisation on the other. The purpose of this paper is to inspire a more intensive engagement of IB scholarship with issues related to colonisation and decolonisation.

This paper involves taking a reflexive review on recent calls to decolonise IB, contextualising and extending the decolonisation debate in the academic field of IB.

This paper argues that the current discussion of decolonisation should be extended beyond the decolonial thinking approach and its focus on knowledge and the cultural dimension towards a broader framework that covers both colonisation and decolonisation as well as the respective economic, political, social and cultural dimensions. It introduces the varieties of colonisation and decolonisation approach, which considers the complexities of the phenomenon and covers the economic, social, political and cultural dimensions.

Through its focus on foreign market expansion, international trade, global value chains and formal and informal institutions in the business environment, the academic field of IB provides several starting points for research on the link between IB activities and colonisation and decolonisation. The decolonisation debate can be used to inspire future research in IB, for example, with respect to the role of multinational corporations in colonisation and neo-colonisation processes and the implications of the emerging multipolar world order for IB.

IB scholars will be better informed when engaging in discussions on decolonisation and the decolonise IB project. This paper suggests considering both colonisation and decolonisation processes as well as the respective economic, political, social and cultural dimensions in research and teaching. The varieties of colonisation and decolonisation approach provides a comprehensive and flexible alternative framework to analyse issues related to colonisation and decolonisation.

A balanced view of the implications of colonisation and decolonisation with respect to economic, political, social and cultural dimensions may suitably be incorporated in the field of IB and contribute to tackling grand societal challenges. This applies likewise to past, current and future processes of colonisation and decolonisation.

This paper contextualises and adds a new perspective and variety to the current debate on decolonising IB. This is valuable for engaging in discussions on decolonisation and future conceptual and empirical research on the topic.

Multinationals have always needed an operating model that works – an effective plan for executing their most important activities at the right levels of their organization, whether globally, regionally or locally. The choices involved in these decisions have never been obvious, since international firms have consistently faced trade‐offs between tailoring approaches for diverse local markets and leveraging their global scale. This paper seeks a more in‐depth understanding of how successful firms manage the global‐local trade‐off in a multipolar world.

This paper utilizes a case study approach based on in‐depth senior executive interviews at several telecommunications companies including Tata Communications. The interviews probed the operating models of the companies we studied, focusing on their approaches to organization structure, management processes, management technologies (including information technology (IT)) and people/talent.

Successful companies balance global‐local trade‐offs by taking a flexible and tailored approach toward their operating‐model decisions. The paper finds that successful companies, including Tata Communications, which is profiled in‐depth, are breaking up the global‐local conundrum into a set of more manageable strategic problems – what the authors call “pressure points” – which they identify by assessing their most important activities and capabilities and determining the global and local challenges associated with them. They then design a different operating model solution for each pressure point, and repeat this process as new strategic developments emerge. By doing so they not only enhance their agility, but they also continually calibrate that crucial balance between global efficiency and local responsiveness.

This paper takes a unique approach to operating model design, finding that an operating model is better viewed as several distinct solutions to specific “pressure points” rather than a single and inflexible model that addresses all challenges equally. Now more than ever, developing the right operating model is at the top of multinational executives' priorities, and an area of increasing concern; the international business arena has changed drastically, requiring thoughtfulness and flexibility instead of standard formulas for operating internationally. Old adages like “think global and act local” no longer provide the universal guidance they once seemed to.