By focusing on players’ relative contributions, we study some properties for values in positive cooperative games with transferable utilities. The well-known properties of symmetry (also known as “equal treatment of equals”) and marginality are based on players’ marginal contributions to coalitions. Both Myerson’s balanced contributions property and its generalization of the balanced cycle contributions property (Kamijo and Kongo Int J of Game Theory 39:563–571, 2010; BCC) are based on players’ marginal contributions to other players. We define relative versions of (...) marginality and BCC by replacing marginal contributions with relative contributions, and examine efficient values satisfying each of the two properties. On the class of positive games, a relative variation of marginality is incompatible with efficiency, and together with efficiency and the invariance property with respect to the payoffs of players under a player deletion, a relative variation of BCC characterizes the proportional value and egalitarian value in a unified manner. (shrink)

In sub-Sect. 3.3, the terms “one-person” and “-person” were incorrectly updated by mistake during the correction stage in the online published article.

In cooperative game theory with transferable utilities, there are two well-established ways of redistributing Shapley value payoffs: using egalitarian Shapley values, and using consensus values. We present parallel characterizations of these classes of solutions. Together with the axioms that characterize the original Shapley value, those that specify the redistribution methods characterize the two classes of values. For the class of egalitarian Shapley values, we focus on redistributions in one-person unanimity games from two perspectives: allowing the worth of coalitions to vary, (...) while keeping the player set fixed; and allowing the player set to change, while keeping the worth of coalitions fixed. This class of values is characterized by efficiency, the balanced contributions property for equal contributors, weak covariance, a proportionately decreasing redistribution in one-person unanimity games, desirability, and null players in unanimity games. For the class of consensus values, we concentrate on redistributions in \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$$$\end{document}-person unanimity games from the same two perspectives. This class of values is characterized by efficiency, the balanced contributions property for equal contributors to social surplus, complement weak covariance, a proportionately decreasing redistribution in \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$$$\end{document}-person unanimity games, desirability, and null players in unanimity games. (shrink)

Controversial Harlem-born rapper/singer, songwriter, and provocateuse Azealia Banks is the most famous, vocal, and visible proponent of Black Atlantic traditions in recent times—making a critical reckoning well overdue. I begin here by tracing Banks's engagement with Afro-Diasporic religions as a trajectory from vamp to bruja [witch]/santera to mayombera. A review of Banks's public statements reveals her growing commitment to championing “so-called voodoo” and urging other African Americans to do so as well. I argue that the release of Beyoncé's Lemonade in (...) 2016 catalyzed Banks's advocacy for Kongo-inspired Palo Mayombe, long overshadowed by Yorùbá-based orisha worship. I further demonstrate that Banks's espousal of Palo Mayombe has been bound up with her identity as a Womanist and dark-skinned, cisgender femme fatale. More than a political program, however, Banks's discursive constructions amount to a Black Atlantic metaphysics. Drawing on Irene Lara's formulation of “bruja positionalities,” I propose that the theoretical scaffolding for her metaphysics should be designated Brujx Womanism. Missteps notwithstanding, Banks emerges as a metaphysician, aspiring to repair Black bodies by re-membering Kongo traditions. In closing, I suggest that Banks's Brujx Womanism may contribute to the conceptualization of Conjure Feminism in four crucial respects. (shrink)

Resumo: À luz de aspectos fundamentais do pensar bantu-kongo e em consonância com pensadores contemporâneos, tais como Bunseki Fu-Kiau e Zamenga B., este artigo aspira a refletir acerca de ontologias distintas daquelas hegemônicas euro-ocidentais. Tais ontologias são vivenciadas em parte do continente africano e foram deslocadas para territórios afrodiaspóricos, como o Brasil, ainda que com adaptações, por meio de práticas cosmológicas que situam a ancestralidade em lugar central. As ideias de “mesmo pluriontológico”, opacidade, estágios do cosmograma kongo, vazio, (...) transmutação, inclinação à outridade, ciência do feitiço, sistema, entes ecológicos, inter-ações propõem possibilidades complexas de ser-viver, em relação, as quais se distanciam, radicalmente, de metafísicas e éticas desenvolvidas no seio do pensamento ocidental, assim como podem com elas dialogar, o que faz com que, ao pensar do lado da margem afrodiaspórica do Atlântico, consideremos as tensões entre esses distintos modos de pensar que ocupam espaços assimétricos nos construtos históricos.: In light of fundamental aspects of Bantu-Kongo thinking and in line with contemporary thinkers, such as Bunseki Fu-Kiau and Zamenga B., this article aims to reflect on ontologies distinct from those of Euro-Western hegemony. Such ontologies are experienced in part of the African continent and have been moved to Afrodiasporic territories, such as Brazil, although with adaptations, through cosmological practices that situate ancestry in a central place. The ideas of “pluriontological sameness”, opacity, stages of the Kongo cosmogram, emptiness, transmutation, inclination towards otherness, science of sorcery, system, ecological entities, inter-actions propose complex possibilities of being-living, in relation, which are radically far from metaphysics and ethics developed in the heart of Western thinking, as well as can dialogue with them, which makes us, by thinking on the side of the Afrodiasporic margin of the Atlantic, consider the tensions between these different ways of thinking that occupy asymmetric spaces in historical constructs. (shrink)

Philosophers have been intrigued by the problem of evil for centuries: How can God and evil coexist? This article tries to answer this question by using Kongolese religious thought from the sixteenth and seventeenth centuries. I contend that the Kongolese view gleaned from historical sources and complemented by contemporary African philosophical scholarship contains sufficient resources to reply to this problem coherently. Particularly, I argue that, from the Kongolese viewpoint, evil in the world can be explained as follows. God and other (...) morally good entities are not morally perfect and may commit moral errors. Moreover, God does not have unlimited power over morally bad entities who may commit moral wrongs. This view, I contend, deserves consideration since, unlike the mainstream Western perspective, it does not imply the unacceptable view that horrendous evils are morally justified. (shrink)

This article explores the presence and function of texts by two spokesmen of the Franciscan Observance sub vicaris, namely Giovanni of Capestrano and Jan Brugman, within a religious miscellany most probably used – if not composed – by the Brothers of the Common Life in the house of Lüchtenhof, founded in 1440 in the neighbourhood of Hildesheim, Lower Saxony. The miscellany attests to the influence of these two prominent preachers beyond their religious order and beyond the geographic areas in which (...) they had been active, thus showing the exchange and interconnection between different branches of the so-called Observant movement.The article first describes the... (shrink)

Past and recent historiography on the fifteenth-century Wegestreit described early Parisian Albertism as an intellectual trend internal to the Arts Faculty and almost exclusively identified with the figure of Johannes de Nova Domo. Although historical documents hinted at the existence of a more established school, no further evidence could be provided. In this contribution we focus on the manuscript Brussel, Koninklijke Bibliotheek van België, ms. 760, which contains a commentary to the Sentences given at Paris by Lambertus de Monte, (...) albertista magnus, around 1423. This previously unnoticed source turns out to be the first important witness of the presence of Albertism in the Faculty of Theology at Paris, and testifies to a significant reception and development of the ideas of Johannes de Nova Domo. Moreover, the manuscript evinces an interesting constellation of marginalia, some of which bear traces of unknown works of the Albertist Heymericus de Campo. The article aims to present the source from a textual and material perspective, insofar as it investigates also some peculiar aspects of the history of the manuscript. The codex came from the Augustinian Canons’ Convent of Korsendonk, where it was partially copied, as we discovered, by the erudite Johannes de Meehrout. (shrink)

A discussão sobre a existência ou não da Filosofia Africana, associada à negação do direito à Filosofia caracterizou seis décadas: 1940-2000. A necessidade de apagar o espectro que as representações ocidentais (europeias) atribuem à África foi, de certa forma, respondida com várias publicações. O presente artigo pretende mostrar que existiram, também, pensadores individuais, preciamente no antigo Kôngo.

The Kimbanguists, whose church is based on the healing and proclamation ministry of Simon Kimbangu in 1921 in the Belgian Congo, challenge colonially defined borders and identities in multiple ways. Anticolonialism is in the DNA of Kimbanguism, yet in a manner that contests the colonially inherited dichotomy between religion and politics. Kimbanguists draw from holistic Kongo traditions, where the spiritual and material/political are inherently interwoven. Kimbangu’s home village, Nkamba, is the centre of the world for them, and Kongo (...) culture and the ancient kingdom form the backdrop of the Kimbanguist view of the new eschatological order to come. The reunification of the kingdom from the two Congo states and Angola will mark the inauguration of the new era. This will not, however, mean a splintering of the Democratic Republic of Congo but rather a removal of the colonial borders. That hints towards a Pan-African vision of a united Africa and even a universally united Black race that will play a central role in the eschatological salvation historical drama. The Kimbanguist vision also contains global dimensions, and their view of borders and identities is like Nkamba-centred ripples in water. This vision wipes away colonial borders and relativises ethnic, national and racial identities whilst strongly subscribing to a salvation historical narrative that places Africa and Africans in the centre. Contribution: This article contributes to the study of nationalism as well as of African Instituted Churches. The analysis of how the Kimbanguists relate to (Kinshasa) Congolese nationalism, Kongo ethnic identity and Pan-Africanism as well as of their global missional views reveals layers and complex patterns of relationship between all these. What facilitates the simultaneous subscribing to all these layers is an openness of identities (Kimbanguist national, ethnic, etc.), as well as a tendency to see the world as consisting of interdependent areas and human communities with their holy city, Nkamba, in the centre. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Boethii Daci Aliorumque Sophismata by Boethius of DaciaJulie Brumberg-ChaumontBoethius of Dacia. Boethii Daci Aliorumque Sophismata. Edited by Sten Ebbesen and Irène Rosier-Catach. Corpus Philosophorum Danicorum Medii Aevi, 9. Odense: University Press of Southern Denmark, 2021. Pp. 624. Hardback, 400.00 DKK.This volume offers a reliable and accurate scholarly edition of two collections of thirteenthcentury sophismata (logical and grammatical puzzles) contained in ms. Brugge, Stedelijke Openbare Bibliotheek 509 (=B) (...) and ms. Firenze, Biblioteca Medicea-Laurenziana 12 sin. 3 (=F). Taken together, these two collections constitute a set of twenty-three sophismata called "Sophismata Florentino-Brugensia" in the catalogue published by Sten Ebbesen and Frédéric Goubier (A Catalogue of Thirteenth-Century Sophismata [Paris: Vrin, 2010]). These sophismata were previously available only in partial editions. Specifically, the two versions of the sophisma "Omnis homo de necessitate est animal," previously both ascribed to Boethius of Dacia, were partially edited from F by Grabmann in 1940 and from B by Roos in 1962. Other sophismata in this collection have been previously edited by Ebbesen, but their editions should now be considered "obsolete," according to the editor himself (9). Each sophisma is identified by an S followed by a number (S1, S2, etc.). In turn, each sophisma deals with several issues or problems, each one of which is identified by a P followed by a number (P1, P2, etc.). The volume is very usefully completed by an index of explicit and implicit references to other works and an index of parallel passages, both compiled by Kristian Thomsen Purreskov (591–601). Finally, this edition is accompanied by a selective but still rich index of words, where special attention has been dedicated to the sophismata by Boethius of Dacia (603–24). All the material is presented in a clear and accurate way. There are only a few minor material errors (specifically, the running titles for problems in S4 are messy; at 33, "a*" should be read as "b*"; at 49, "S14" should be read as "S18").Sten Ebbesen is the sole editor of all sophismata except for the three that deal with grammatical subjects, for which Irène Rosier-Catach is the main editor, with Ebbesen serving as a coeditor.Concerning the authorship of each sophisma, Ebbesen follows the indications contained in F, but he also provides some independent discussions (24–26). Thus, he ascribes two sophismata to Boethius of Dacia, ten to Peter of Auvergne, one to an otherwise unknown Nicholas of Normandy, and the remaining ten to anonymous masters. They are listed in detail in the "Index sophismatum et problematum" (65–69).After a summary of the contents of the volume, Ebbesen's introduction contains five sections of different lengths: first, a history of the edition (7–9); second, a general description of the structure and functioning of sophismata (9–13); third, a description of the seven manuscripts used for the edition (14–22); fourth, a discussion about authorship (22–58); and fifth, an explanation of the principles of the edition (58–62). In the third section, Ebbesen provides a wealth of information about manuscripts, stemma codicum, and evaluations of variants, especially about the relationship between S and B for the sophismata contained in both manuscripts. In this regard, Ebbesen establishes that B and F are probably not two independent reportationes of the same oral disputation, that they had a common ancestor, and that they do not depend on one another (25–32). The fourth section, about authorship, demonstrates that the collection contained in F is earlier than that contained in B. One major result is that the text copied in B (S1B) ("Omnis homo de necessitate est animal") is not by Boethius of Dacia (35). Because of F priority, that manuscript is chosen as the main witness for those sophismata or parts of sophismata that are common to F and B.The second section makes an extremely significant historical and doctrinal contribution to the history of logic, particularly the history of logical practices and their textual records. [End Page 705] Three constitutive parts of a sophisma are identified: first, the sophismatic sentence itself; second, a brief disputation (called here corpus sophismatis) about the sophismatic sentence... (shrink)

As part of a series of case studies titled “In the Humanities Classroom,” this contribution reports in detail on the initial class taught by the author in the spring of 2015, during her time at Princeton University as a visiting lecturer in art history. By presenting students with three sets of devotional materials—two papier-mâché medallions painted by nuns at the convent of Wienhausen in northern Germany on the eve of the Reformation; a n'kisi n'kondi figure from the Yombe group of (...) Kongo peoples in the nineteenth-century; and a description, taken from Marilynne Robinson's novel Gilead, of a child baptizing kittens with creek water—the instructor raises questions about how materials convey holiness and influence viewers or worshippers. She prods history and literature students, both graduate and undergraduate, to take physical objects seriously as evidence, and she challenges those in art history to study objects and also texts normally regarded as outside of their purview. (shrink)

Kunnen we ons voor de drukte van de moderne tijd afsluiten door ons terug te trekken in een bibliotheek? Kunnen we ons in Arcadië wanen door ons te wentelen in het erfgoed en de beschaving van vele eeuwen? Hoe aanlokkelijk dit ook is, meent topdiplomaat Robert Cooper, een bibliotheek biedt geen ontsnappingsmogelijkheid en staat altijd midden in de wereld.

Africa's indigenous cultures evidence cosmologies that are diverse and still evolving. A comparison is made of those found in the Yoruba (Nigeria), Maasai (Kenya), and Ki-Kongo (DRC) cultures to demonstrate this.

The present article analyzes a fifteenth-century debate over the value and significance of enclosure in monastic contemplative life. The controversy arose as a consequence of the vow of seclusion taken by the canons regular in the convent of Bethlehem near Louvain and centered on the legitimacy of enclosure as an object of monastic professio as well as on its compatibility with Augustine’s rule. The article surveys the sources of this debate clarifying its historical circumstances and its theoretical boundaries and focuses (...) on the contribution of the Albertistic theologian Heymericus de Campo. The dossier of this querelle is mainly handed down in the manuscript Brussel, Koninklijke Bibliotheek, 11752-64, with the integration of the codex Wien, Österreichische Nationalbibliothek, Series Nova 12835 containing Heymericus’ Epistola de laude religiose solitudinis. (shrink)

Summary: De planken van de Amsterdamse Artis Bibliotheek staan vol met uiterst zeldzame en belanghebbende natuurhistorische werken. Eerste drukken van het werk van Charles Darwin (onder andere van "On the origin of species") staan gebroederlijk naast het oeuvre van Darwins wetenschappelijke evenknie Alfred Russel Wallace. Daarnaast worden er tal van natuurwetenschappelijke archieven, zoals dat van de Amsterdamse hoogleraar biologie, geneticus en Nobelprijslaureaat Hugo de Vries, beheerd. Alexander Reeuwijk maakt samen met Redmond O'Hanlon een reis door de geschiedenis van de (...) evolutie aan de hand van boeken, manuscripten en parafernalia zoals die in deze natuurwetenschappelijke schatkamer worden bewaard. (shrink)