ON THE SHAPE OF MARKET AREAS IN LÖSCHIAN SPATIAL MODELS*

ABSTRACT. The paper analyzes the lattice shape of equilibrium configurations of firms in spatial models. Lösch's assertion that free entry will result in hexagonal market areas is proved for a variety of assumptions about the nature of the market equilibrium, and about the preferences of customers. All the models considered, however, incorporate rational entry behavior and identify the stable lattice as an entry deterring equilibrium. A simple proof is presented of the optimality of hexagonal market areas, at least among regular space-filling configurations.     

A Location-Allocation Model of Lösch's Central Place Theory: Testing on a Uniform Lattice Network

This paper develops a location-allocation model of Lösch's central place theory that maximizes the number of firms that can coexist in the market, subject to range, threshold, hierarchy, and other constraints. F.o.b. costs, economies of scale, and elastic demand are included. Consumer behavior postulates concerning the “nearest center hypothesis” and the “indifference principle” are formulated as nonlinear constraints but not used during solution. Methods are developed for simulating the continuous, infinite plain with a discrete, bounded network by use of an outer overflow network and a symmetrical market area constraint. The model is tested by applying it to a uniform lattice network and comparing the results to the expected pattern of nested hexagons. Solutions consistent with the k = 3, 4, and 7 patterns are generated by changing threshold values. However, remaining inconsistencies appear to be due to the inability to express the consumer behavior laws as linear constraints, to the bounded and discrete nature of the network, and to the objective function being the sum of integer variables. The long-run purpose of developing and validating a location-allocation model of a location theory is to use it to relax the theory's restrictive assumptions and to apply the theory to nonuniform regions.     

Classical Central Places as Protected Thresholds

Previous research efforts demonstrate the use of location covering in the spatial structuring of central places within a single-good context. In a multilevel context, this paper similarly develops a mathematical programming approach to the siting of central places based on the “protection” of inner (or threshold) markets. The objective function maximizes both market coverage of demand and market overlap, subject to an upper bound on market overlap; this allows the formation of different market structures consistent with the various K-valued central place systems of Christaller and Lösch. Siting examples serve to illustrate the working of the protected threshold model in isotropic settings. Furthermore, ways in which the present model might be extended for other situations are examined.     

TRAUMA DELEGITIMIZED: KARL LÖWITH AND THE COSMIC VIEW OF HISTORY

This article uncovers the work of trauma in Karl Löwith's historical thought. Although best known for his critique of the philosophy of history and for the conception of secularization in his 1949 book, Meaning in History, Löwith deepened his positive historical vision in several essays that he wrote in the 1950s and 1960s. From these texts emerges a unique historical orientation, which I call the “cosmic view of history.” This perspective was at once a critique of modern historical consciousness and an embodied corrective to that consciousness, one in which the catastrophes of the twentieth century were relativized and made endurable. In both the origin and structure of this historical orientation and in its textual expression in Löwith's work, trauma is a residual force that links Löwith's language, his experiences, and the postwar context. The role of trauma in Löwith's thought further reveals a process of delegitimization in which historical consciousness and historical events lose their power to determine historical meaning, thus enabling a response to and an escape from catastrophe. This article also explores the significance of this cosmic view of history for contemporary theoretical concerns related to the Anthropocene and its consequences for historical theory.     

LÖWITH,LÖWITH'S HEIDEGGER,AND THE UNITY OF HISTORY

This article is about the problem of the unity of history as seen through the writings of Karl Löwith. By “unity of history” I understand the notion that all history constitutes one and only one range of kinds of objects and/or one field of knowledge. The article argues that the problem of the unity of history—though often neglected as a matter of mere argumentative infrastructure—is central to a number of wider problems, most prominently the possibility of a plural understanding of historicity and the possibility of ultimately avoiding a unified historical teleology. The article revisits Löwith's writings and proposes a variety of novel interpretations with the aim of evincing the centrality, and of exploring diverse aspects, of the problematic of the unity of history. This problematic is shown to have informed Löwith's work on the secularization thesis as well as his debate with Hans Blumenberg. The foundations of Löwith's discussion of the problem are pursued across his ambivalent critique and appropriation of Heidegger's model of an ontology of historicity as marked by inevitable internal conflict and thus disunity. The paper reconstructs the manner in which, after the Second World War, Löwith's philosophy of history sought to salvage basic traits of the Heideggerian model when it tried to establish the possibility of plural historicity from a notion of the natural cosmos. It is demonstrated that the motives for this salvage operation ultimately extended beyond the problem of Löwith's reception of Heidegger and concerned the possibility of continuing any debate on the philosophy of history.     

THE PUZZLE OF THE BANQUET HALL OF THE DUKES: THE PROFESSIONALIZATION OF SWEDISH HISTORICAL RESEARCH STUDIED THROUGH LUDWIK FLECK'S “THOUGHT COLLECTIVE” AND “THOUGHT STYLE”

In 1312, the Swedish dukes Erik and Valdemar Magnusson married the Norwegian princesses Ingeborg Haakonsdaughter and Ingeborg Eriksdaughter at a ceremony in Oslo, Norway. In 1313, the two couples were reunited at a purpose-built banquet hall, believed to have been located in the medieval Swedish town of Lödöse. The main source of information concerning these events is the Swedish medieval rhyme chronicle The Chronicle of Duke Erik. However, a closer reading of the chronicle reveals that Lödöse is never mentioned in relation to the banquet hall. The article discusses the passing down of knowledge through generations of the same professional collective, in this case the professional collective of Swedish historians during the twentieth century, and demonstrates how the validity of once-established prescientific knowledge persists. To achieve its goal, the article applies Ludwik Fleck's terms “thought collective,” “thought style,” and “tenacity in science,” as well as Thomas Kuhn's concept of the “paradigm,” to a historiographical case study of how the proto-idea of the banquet hall being located at Lödöse has survived to become an established scientific fact. The location of the banquet hall concerns but a minor detail in the turbulent political situation of the Swedish kingdom during the first decades of the fourteenth century. However, the continuing reiteration of this minor detail is evidence of a larger phenomenon, namely how contemporary historical research is influenced by scholars in the prescientific past.     

Vergemeinschaftung and Vergesellschaftung in Max Weber: A reconstruction of his linguistic usage

When Max Weber made use of the terms “Vergemeinschaftung” and “Vergesellschaftung” in the first chapter of “Economy and Society”, he was among other things alluding to Ferdinand Tönnies' well- known usage of “Gemeinschaft” and “Gesellschaft”, as well as to related conceptions in the work of Georg Simmel. However, Weber's usage not only differed from the senses in which Tönnies and Simmel used these terms; he had himself altered his own usage since the early draft of this chapter, published in 1913 as “On some Categories of Interpretive Sociology”. The tangled resonances that result from this are carefully identified and separated, and in so doing light is shed upon the nature and status of Weber's intentions in writing his important chapter on “Basic Sociological Categories”.     

REOCCUPYING SECULARIZATION: SCHMITT AND KOSELLECK ON BLUMENBERG'S CHALLENGE

This article analyzes the compound of the categories of secularization and reoccupation in its variations from Hans Blumenberg's philosophy to Carl Schmitt's political theory and, ultimately, to Reinhart Koselleck's conceptual history. By revisiting the debate between Blumenberg and Schmitt on secularization and political theology with regard to the political‐theoretical aspects of secularization and the methodological aspects of reoccupation, I will provide conceptual tools that illuminate the partly tension‐ridden elements at play in Koselleck's theorizing of modernity, history, and concepts. For Schmitt, secularization is inherently related to the question of political conflict, and, correspondingly, he attempts to discredit Blumenberg's criticism of secularization as an indirectly aggressive, and thereby hypocritical, attempt to escape the political. To this end, I argue, Schmitt appropriates Blumenberg's concept of “reoccupation” and uses it alternately in the three distinct senses of “absorption,”“reappropriation,” and “revaluation.” Schmitt's famous thesis of political concepts as secularized theological concepts contains an unmistakable methodological element and a research program. The analysis therefore shows the relevance of the Blumenberg/Schmitt debate for the mostly tacit dialogue between Blumenberg and Koselleck. I scrutinize Koselleck's understanding of secularization from his early Schmittian and Löwithian theory of modernity to his later essays on temporalization of history and concepts. Despite Blumenberg's criticism, Koselleck holds onto the category of secularization throughout, but gradually relativizes it into a research hypothesis among others. Simultaneously, Koselleck formalizes, alongside other elements, the Schmittian account of reoccupation into his method of conceptual analysis and uses the term in the same three senses—thus making “reoccupation” conceptually compatible with “secularization,” despite the former notion's initial critical function in Blumenberg's theory. The examination highlights a Schmittian residue that accounts for Koselleck's reserved attitude toward Blumenberg's metaphorology, regardless of a significant methodological overlap.     

Spinners and weavers of auffay. Rural industry and the sexual division of labour in a French village, 1750–1850

German scholars of Jewish origin who were students of Martin Heidegger in the 1920s and 1930s are frequently criticized for their supposed postwar refusal to ‘disavow earlier liaisons with Heidegger.’ These scholars are thus indicted for being fundamentally anti-liberal or apolitical, and for those reasons dangerous disciples of Heidegger. By examining the works of Karl Löwith and Hans Jonas, two of Heidegger's influential former students, the following paper presents a more nuanced reading of the relationship between master and disciples, namely that Jonas and Löwith operate with Heidegger's philosophical grammar in order to turn against Heidegger, philosophically and politically. Within this framework, the article fleshes out the crucial importance of theology to the understanding of Jonas’ and Löwith's philosophical critique of Heidegger's thought. Following this theological turn, the paper demonstrates the complexity of Jonas’ and Löwith's postwar approach, that is an anti-Heideggerian ethical and political quest which is anchored nonetheless in Heidegger's philosophy. As such, Jonas’ and Löwith's political projects demonstrate the manner in which Heideggerian categories are not exhausted by Heidegger's own political interpretation; they grippingly denotes the aptitude to steer Heideggerian philosophy towards new ethical and political shores.     

Existentialism as a Political Problem in Karl Löwith's Thought

The aim of this paper is to make a case for the claim that Karl Löwith's thought is predominately preoccupied with one major philosophic–historical problem that may be broadly labelled existentialism. This notion is usually employed by Löwith in order to grasp the various phenomena and developments within the European (or Western) history in the modern age. I claim that the meaning assigned by Löwith to the notion of existentialism is inseparable from its political consequences. In other words, I attempt to reconstruct the notion of existentialism in Löwith's thought primarily as a political problem. By advancing this argument, I am inclined towards the view that Löwith’s ?uvre deserves more careful reception from political theorists than it has yet received.     

Löschian Spatial Competition in an Emerging Retail Industry

Löschian competition is traditionally thought to lead to a spatial equilibrium in which firms enter an industry and disperse across geographic space until each firm earns insufficient excess profit to attract net new entrants. This paper assesses the appropriateness of Löschian analysis using video (movie) rental establishments in Toronto as a case example. The video rental business, as we know it today, began to take shape around 1980 and has since seen much turnover. The paper describes the changing pattern of single‐site and chain stores between 1982 and 1999. I use logistic regression to predict the survival of existing establishments. Using survivorship as a proxy for profit, the paper draws conclusions about the extent to which temporal changes in video store location correspond to the tenets of Löschian competition. The coexistence of chain and single‐site stores suggests that there are distinct market niches and that single‐site stores have used a “swarming” strategy to compete against chains. Conclusions are drawn about how the retail sector might evolve in the future because of the locational competition between chains and single‐site stores.     

The Fractal Theory of Central Place Geometry: A Diophantine Analysis of Fractal Generators for Arbitrary Löschian Numbers

We develop material to determine whether or not an arbitrary number is Löschian; the procedure embodied in the theorems achieves the desired result more swiftly than do previous solutions to this problem. The correspondence between a partition of the central place lattice and a quadratic form permits the rapid determination of the lattice coordinates of an arbitrary Löschian number and of the exact shape of a single fractal generator used to form an entire central place hierarchy associated with an arbitrary Löschian number. Central place hierarchies may be generated geometrically using a single shape applied initially to a hexagon and subsequently, scaled appropriately, to resultant polygons. Fractional dimensions of arbitrary central place hierarchies, measuring their “space-filling” characteristics, follow naturally from this general procedure.     

THE SYSTEM OF PROTECTED NATURAL AREAS IN THE USSR AND PROSPECTS FOR ITS DEVELOPMENT

The International Union for the Conservation of Nature and Natural Resources has developed a 10-category system for classifying the world's protected natural areas. The present article by two Soviet biogeographers, presented at Unesco's “Man and the Biosphere” conference in Minsk in 1983, analyzes the way in which the Soviet Union's protected areas fall into the classification system devised by the International Union. The article also discusses the types of protected areas found in the USSR, and the functions assigned to each. (The translation is by Philip R. Pryde, San Diego State University.)     

Iran's Free Trade Zones: Back Doors to the International Economy?

Since the late 1980s, Iran has pursued a policy of attracting foreign investment and fostering regional trade by granting favored status to the so-called “Free Trade-Industrial Zones” (FTZs) and “Special Economic Zones” (SEZs). To date six FTZs and sixteen SEZs have been set up throughout Iran. The FTZs are strategically positioned for their potential international links and have their eyes on markets beyond Iran, and the SEZs for their value in serving main industries and for improving the country's distribution system and supply network. This paper examines the experience of these zones in Iran in the context of Iran's contradictory and ambivalent approach to international economic integration in general. It is shown that liberal policies pursued in the free zones have been in marked contrast to the approach in the mainland, which has been generally inward-looking in much of the post-revolutionary period. We examine first the rise of free zones as a global phenomenon followed by an overview of Iran's zones and their characteristics. It is argued that serving mainly as “back doors” to the international economy, Iran's free zones have stalled mainly because their promotion has been decoupled from, if not at odds with, official attitudes to the international economy at large. As a result, the zones' ability to attract investment has been limited by both adverse external perceptions of Iran as an investment destination and internal complexities discouraging such investment.     

GENERAL EQUILIBRIUM OF SPATIAL PRODUCT AND LABOR MARKETS*

ABSTRACT A simple general equilibrium model relates spatial product markets and spatial labor markets. The firm is treated as being a spatial monopolist or as a Löschian competitor in the output market and as a spatial monopsonist in the labor market. Derived free spatial demand and free regional labor supply are defined, and their properties examined. The model provides the framework for analyzing the impact of a technological improvement in labor productivity on the structure of the spatial markets. The impact of entry on spatial labor supply is an important determinant of whether or not entry lowers wages and raises output prices. Unlike the spaceless competitive paradigm, zero-profit long-run equilibrium can occur in a space economy under conditions of increasing returns to scale.     

What If Piketty Is Right? Real Economic Costs of Rising Income Inequality

Thomas Piketty's analysis of income and wealth distribution, Capital in the Twenty-First Century, argues that wealth has become increasingly concentrated in the hands of the most affluent, while lower and middle class real incomes have stagnated; he warns that this trend could have “potentially terrifying” results, possibly even violent revolution. This article presents evidence that growing inequality weakens the entire economy by eroding the purchasing power of the vast majority of the population and the education of the labor force, while increasing its vulnerability to future collapses of the financial markets. It agrees with Piketty's concern that the capitalist market system, driven by Adam Smith's classic reliance on the pursuit of individual self-interest, lacks mechanisms to correct these distortions, which must be addressed by new policy initiatives.     

The human comedy of Antoine Doinel: from Honoré de Balzac to François Truffaut1

The focus of this paper is the intertextual relationship between the work of François Truffaut and that of Honoré de Balzac. It explores Balzac's influence on the shaping of Truffaut's voice and argues that Balzac's Human Comedy served Truffaut as a model for some of his cinematic innovations. This applies to Truffaut's total oeuvre, but particularly to his series of autobiographical films, “The Adventures of Antoine Doinel”: The 400 Blows (Les Quatre Cents Coups, 1959), Antoine and Colette, Love at Twenty (Antoine et Colette, L'Amour à Vingt Ans, 1962), Stolen Kisses (Baisers Volés, 1968), Bed and Board (Domicile Conjugal, 1970), Love on the Run (L'Amour en Fuite, 1979).

In examining Truffaut's “rewriting” of Balzac, I adopt—and adapt—the intertextual approach of Harold Bloom's theory of the “anxiety of influence.” My paper applies Bloom's concept of misreading to an examination of the relationship between Truffaut's autobiographical films, and Balzac's Human Comedy, both thematically and structurally.     

“UNABLE TO RESIST”: ON THE “POSSIBILITY” OF “IMPOSSIBILITY” AND CHRISTOPHE BOUTON'S TIME AND FREEDOM

This essay reflects critically on Martin Heidegger's remarks about authenticity and death with the aid of Christophe Bouton's Temps et liberté (2002), translated by Christopher Macann as Time and Freedom (2014). It first raises general questions concerning the possible thematic relationship between human endeavoring (action) and the experiences of finitude and freedom. Heidegger's Being and Time is particularly useful for exploring this relationship, but certain problems emerge when using this text for accessing the essay's themes. To wit: there are good reasons for mistrusting readings of Being and Time as a “practical” guide for grounding action. Against the practical reading, the essay wishes to reclaim the ontological‐existential significance of Heidegger's text. Although Bouton's treatment of Being and Time excludes its ontological dimensions and is entirely practical, even to the point of disregarding certain theoretical risks inherent in this approach, Bouton's study is indispensable for situating Being and Time in a historical‐intellectual context, whereby the experiences of freedom and time are understood within certain metaphysical presuppositions rendering them difficult to establish together on reliable grounds. Following Bouton's lead, the essay shows that the hermeneutic differences between practical and ontological readings of Being and Time can be explored through reflections on what Heidegger might have meant by the term “Möglichkeit” (“possibility”), from which Bouton infers “freedom.” It is alleged that Bouton does not fully consider all of Heidegger's assertions regarding Möglichkeit, most problematically the claim that the human being's most essential “possibility” is its “impossibility,” that is to say, its death.     

Goody,Polanyi and Eurasia: An Unfinished Project in Comparative Historical Economic Anthropology

Goody's essay overlaps with his recent work on the “search for metals” and, more generally, with his many books expounding the commonalities of Eurasian history. His critique of Eurocentrism remains invaluable. This review article argues that his emphasis on diffusion can be usefully supplemented with a concept of civilization, to facilitate comparative structural analysis. Goody's perspective might also be enhanced by an engagement with the literature on “Axial Age” cosmologies and with substantivist economic anthropology. It is worth revisiting Karl Polanyi's efforts to grasp the position of the economy in society, in order to recover in the neoliberal present the long-run Eurasian dialectic between redistribution and market exchange.