Modal logics for reasoning about social networks is currently an active field of research. There is still a gap, however, between the state of the art in logical formalisations of concepts related to social networks and the much more mature field of social network analysis. In this paper we take a step to bridge that gap. One of the key foundations of social network analysis is balance theory, which is used to analyse signed social networks where agents can have positive (...) or negative relationships. Certain combinations of positive and negative relationships are considered to be unbalanced, or unstable—in particular the occurrence of cycles with an odd number of negative relationships. Especially relatively short cycles with an odd number of negative relationships are thought to put pressure on the agents to change one or more of the involved relationships from negative to positive or the other way around. Most existing logics for reasoning about social networks are defined for unsigned networks. In this paper we develop a modal logic for reasoning about structural properties of signed social networks, and give a sound and complete Hilbert-style axiomatic system. Furthermore, we completely axiomatise classes of signed social networks that are balanced to a certain degree n, in the sense that there are no cycles of length up to n with an odd number of negative relationships. Finally, we completely axiomatise the class of all fully balanced complete signed social networks, i.e., networks where everyone is connected with everyone else. Axiomatic completeness is non-trivial because neither the balance properties, nor the dichotomy between positive and negative relations, are modally definable. The paper thus provides a logical basis for reasoning about signed social networks in general and balanced networks in particular. (shrink)

In the last few decades, increasing attention has been given to gender issues in urban design. However, research on the urban environment continues to show large gender inequalities, which are especially evident when studying the use and enjoyment of the public space. This study aims to identify predominant patterns of use in public places and to explore the possible existence of traditional gender roles in the urban space. The study uses, three public spaces in the city of Barcelona as a (...) case study, an innovative combination of systematic observation techniques and network analysis procedures. Variables collected by EXOdES, a dedicated software analysis tool for systematic observation, are represented as nodes of a network system and analyzed using network analysis tools. Findings confirmed that, in spite of the progressive consolidation of feminist urbanism, uses in the public realm resulting from traditional gender roles remained explicitly recognizable. Whereas women’s occupation of space was related to playground and resting areas, generally involving care activities concerned with children or elderly people, men were primarily located in resting and sports areas, practicing sports, or participating in leisure activities. These patterns of use were more prone to emerge when users were part of a group than when they were alone. From a gender perspective, a contribution of the study is that it informed about main aspects of the analyzed public spaces reconfirming the existence of traditional roles in society, and the significance of exploring the public space as a key scenario where social features are explicitly exposed. From a methodological perspective, the processing of observational data with network analysis tools proved to be relevant and suitable for dealing with the intricacies of urban place analysis. Compared to more classical approaches and systems, these techniques allowed to identify and interpret complex systems composed of many variables and relationships in a relatively straightforward manner, which turns it into a useful aid for urban designers and architects. (shrink)

Clinical fields of the “sciences of the mind” (psychotherapy, psychiatry, etc.) lack integrative conceptual frameworks that have explanatory power. Mainly descriptive-classificatory taxonomies like DSM dominate the field. New taxonomies such as Research Domain Criteria (RDoC) aim to collect scientific knowledge regarding “systems” for “processes” of the brain. These terms have a supradisciplinary” meaning if they are considered in context of Systems Science. This field emerges as a platform of theories like general systems theory, catastrophe theory, synergetics, chaos theory, etc. It (...) provides a lot of abstract concepts, constructs, methods and models. We assume that these tools also enable theoretical integration in the diversified field of clinical practice in the sciences of the mind. Additionally, systems thinking in clinical psychology improves conceptual links to currently network-oriented neurobiology. However, clear definitions of systemic terms are necessary to emerge from their mainly metaphorical use. Here we revise mainly terms like “structure”, “process” and “dynamics” as they are used already in psychology, psychoanalysis, psychopathology and psychiatry in an ill-defined way. For instance, affective-cognitive structures like “life space” or “object representations” can be seen as products of mental processing. These structures, in turn, modulate dynamics of mental processes. Additionally, we suggest a coupled network concept of emotions and motivations as the main subsystem that modulates mental dynamics that results in a qualitative systemic model of the mind. Finally, we assume that a revisited systemic approach could improve interdisciplinary understanding of the mental. ystem for mental dynamics. In this context, we assume that a revisited systemic approach could improve interdisciplinary understanding of the mental. (shrink)

This paper presents an attempt to systematically describe and interpret the evolution of different religious and political movements in Judaea during the period of the Second Temple using the methods of the theory of social networks. We extensively analyzed the relationship between the main Jewish sects: Pharisees, Sadducees, Essenes (Qumranites), and later also Zealots. It is shown that the evolution of the relations between these sects agreed with the theory of social balance and their relations evolved toward more socially balanced (...) structures. (shrink)

A major problem with the emerging sociological literature on cosmopolitanism is that it has not adequately theorized mechanisms that mediate the presumed causal relationship between globalization and the development of cosmopolitan orientations. To solve this problem, I draw on Bruno Latour's actor- network theory to theorize the development of three key elements of cosmopolitanism: cultural omnivorousness, ethnic tolerance, and cosmopolitics. ANT illuminates how humans and nonhumans of multiple nationalities develop attachments with one another to create network structures that sustain cosmopolitanism. (...) ANT also helps the sociology of cosmopolitanism become more reflexive and critical of its implicit normative claims. (shrink)

Balance and common sense are commonplace concepts used to bring an audience to a place of shared understanding. These commonplaces also function as decision-making heuristics. I argue in this paper that the commonplaces ?balance? and ?common sense? are problematic because they suggest decision-making strategies that strip associated information of complexity and value. Through an examination of theory and responses to interviews conducted in relation to an ongoing project on environmental rhetoric, I problematize these concepts and consider how awareness of the (...) interaction of these commonplaces and heuristics can benefit rhetors and agencies seeking environmental change. (shrink)

Network theory is necessary for the realization of cognitive representations and resulting empirical observations of social groups. We propose that the triadic primitives denoting individual roles are multilayer, with positive and negative relations feeding into cost–benefit calculations. Through this, we advance a computational theory that generalizes to different scales and to contexts where conflict is not present.

Pietraszewski proposes four triadic “primitives” for representing social groups. We argue that, despite surface differences, these triads can all be reduced to similar underlying welfare trade-off ratios, which are a better candidate for social group primitives. Welfare trade-off ratios also have limitations, however, and we suggest there are multiple computational strategies by which people recognize and reason about social groups.

In this paper, we propose a novel medium for interactions based on an interpersonal psychological approach referred to as ‘naïve psychology’. We adopt the visual assessment of clustering tendency (VAT) to naïve psychology for the visual understanding of other people. The VAT algorithm produces a visual display that can be used to assess clustering tendencies in a set of persons (notions) by reconstructing a digital image representation of a square relational dissimilarity matrix for its set. This algorithm clearly represents two (...) types of imbalanced situations in naïve psychology: crisp and fuzzy. The visual image of a balanced or imbalance situation is useful for a deeper human understanding. (shrink)

Network theory is applied across the sciences to study phenomena as diverse as the spread of SARS, the topology of the cell, the structure of the Internet and job search behaviour. Underlying the study of networks is graph theory. Whether the graph represents a network of neurons, cells, friends or firms, it displays features that exclusively depend on the mathematical properties of the graph itself. However, the way in which graph theory is implemented to the modelling of networks differs significantly (...) across scientific fields. This article compares the economics variant of network theory with those of other fields. It shows how the methodology employed by economists to model networks is shaped by two explanatory desiderata: that the explanandum phenomenon is based on micro-economic foundations and that the explanation is general. (shrink)

Theory Reduction in the Social Sciences. The example of balance theories. A central topic both in philosophy of science as well as in the empirical sciences is the reconstruction of the relations between theories. In the past comparisons of theories by means of traditional linguistic methods have proved to be extremely difficult and complicated. In this article the reconstruction of intertheoretical relations based on model-theoretical terms is propagated, as formulated within the structuralist view of theories. The efficiency of a model (...) theoretical based comparison of theories is demonstrated by two theory elements from the social science research program of balance theories: The basic element by Heider and the transitivity theory by Holland and Leinhardt. First of all both theory elements are introduced informally and reconstructed in the structuralist format. On the basis of these reconstructions can be shown, that the Heider theory can be formally reduced to the Holland-Leinhardt theory and that the theory younger in history means an improvement. However, an integration of all balance theoretical elements into a theory net is not possible. (shrink)

The evolution of internation relationships is studied by means of a mathematical model based on a popular rule of triadic interaction: the friend of my friend is my friend, the friend of my enemy is my enemy, the enemy of my enemy is my friend, the enemy of my friend is my enemy. The rule is shown to lead to the formation and preservation of unipolar and bipolar configurations of nations, with the strengths of relationships, both friendly and conflictual, intensifying (...) through time. These results confirm speculations originally made in static, graph theoretic studies of the balancing of relationships within individuals, small groups and systems of nations. (shrink)

The combined tendency for positive self‐presentation and mimicry or social learning results in the capability of a population of simulated individuals to optimize their cognitive structures. A population of parallel constraint satisfaction networks was created, with globally and locally optimal activation patterns. Individuals started with random activations and interacted to find optimal vectors. Two social network topologies were tested, as well as two modes of interaction; results indicated that the ability to optimize activation vectors depends on the social network configuration (...) and whether individuals are influenced by their best neighbor or are attracted to a neighborhood centroid. Simulated individuals are able to find suitable patterns of belief or attitude with very little internal information processing, using social interaction. (shrink)

We define balance games, which describe the formation of friendships and enmity in social networks. We show that if the agents give high priority to future profits over short term gains, all Pareto optimal strategies will eventually result in a balanced network. If, on the other hand, agents prioritize short term gains over the long term, every Nash equilibrium eventually results in a network that is stable but that might not be balanced.

This essay proposes to view networks as sociocultural structures. Following authors from Leopold von Wiese and Norbert Elias to Gary Alan Fine and Harrison White, networks are configurations of social relationships interwoven with meaning. Social relationships as the basic building blocks of networks are conceived of as dynamic structures of reciprocal (but not necessarily symmetric) expectations between alter and ego. Through their transactions, alter and ego construct an idiosyncratic "relationship culture" comprising symbols, narratives, and relational identities. The coupling of social (...) relationships to networks, too, is heavily laden with meaning. The symbolic construction of persons is one instance of this coupling. Another instance is the application of social categories (like race or gender), which both map and structure social networks. The conclusion offers an agenda for research on this "meaning structure of social networks.". (shrink)

This article reports on an empirical investigation of long-term use of a groupware system in a spatially and massively distributed network of educators. It is a case study based investigation aimed at understanding the impacts of collaboration technology in supporting social interaction. The paradigm of social constructivism and the perspective of structuration are proposed as frameworks for understanding the impacts of technology on mediating social interaction. Utilizing these perspectives in an empirical investigation, the case study findings demonstrate how collaboration technology (...) can serve as a change agent in transforming the culture and structure of social interaction. This is enacted in two ways: through the various meanings which people construct when interacting with technology and in benefiting from the structural properties of a system through its technical affordances. (shrink)

In this contribution to the colloquium, I argue why and how I lost interest in the overall structure of social networks even though Big Data techniques are increasingly simplifying the collection, organisation, and analysis of ever larger networks. The challenge that Big Data techniques pose to the social scientist, I think, is of a different nature. Big Data on social actors mainly record events, e.g. interactions between human beings that happen at a point in time. In contrast, social network analysts (...) tend to think in terms of social relations that exist over a timespan. The challenge, then, is to rethink our conceptions and models of social relations and social structure. I conceptualize social structure and social relations as forces. I propose modelling these forces with regression models for longitudinal interaction data. (shrink)

The automated parsing of 130,213 news articles about the 2012 US presidential elections produces a network formed by the key political actors and issues, which were linked by relations of support and opposition. The nodes are formed by noun phrases and links by verbs, directly expressing the action of one node upon the other. This network is studied by applying insights from several theories and techniques, and by combining existing tools in an innovative way, including: graph partitioning, centrality, assortativity, hierarchy (...) and structural balance. The analysis yields various patterns. First, we observe that the fundamental split between the Republican and Democrat camps can be easily detected by network partitioning, which provides a strong validation check of the approach adopted, as well as a sound way to assign actors and topics to one of the two camps. Second, we identify the most central nodes of the political camps. We also learnt that Clinton played a more central role than Biden in the Democrat camp; the overall campaign was much focused on economy and rights; the Republican Party is the most divisive subject in the campaign, and is portrayed more negatively than the Democrats; and, overall, the media reported positive statements more frequently for the Democrats than the Republicans. This is the first study in which political positions are automatically extracted and derived from a very large corpus of online news, generating a network that goes well beyond traditional word-association networks by means of richer linguistic analysis of texts. (shrink)

The tradeactortargetconflict model to garner implications concerning trade and conflict interactions where third-party blocs are involved. The theoretical propositions supported by proofs are: (1) if the actor increases trade with a third-party who is a friend of the target, then the actor will decrease conflict toward the target; (2) if the actor increases trade with a third-party who is a rival of the target, then the actor will increase conflict toward the target. A 30-country sample from the Conflict and Peace (...) Data Bank (COPDAB) is used and divided into three blocs, namely a Western bloc, a Middle Eastern bloc, and an Eastern bloc. The empirical analysis supports the hypotheses. A similar relationship is also discussed and tested for situations in which conflict increases or decreases between the actor and third-party bloc. In addition, the evidence shows that Western bloc countries play a central role in world political and economic relationships. (shrink)

Polarization is a topic of intense interest among social scientists, but there is significant disagreement regarding the character of the phenomenon and little understanding of underlying mechanics. A first problem, we argue, is that polarization appears in the literature as not one concept but many. In the first part of the article, we distinguish nine phenomena that may be considered polarization, with suggestions of appropriate measures for each. In the second part of the article, we apply this analysis to evaluate (...) the types of polarization generated by the three major families of computational models proposing specific mechanisms of opinion polarization. (shrink)

This theoretical integration of social psychology’s main cognitive and affective constructs was shaped by 3 influences: (a) recent widespread interest in automatic and implicit cognition, (b) development of the Implicit Association Test (IAT; A. G. Greenwald, D. E. McGhee, & J. L. K. Schwartz, 1998), and (c) social psychology’s consistency theories of the 1950s, especially F. Heider’s (1958) balance theory. The balanced identity design is introduced as a method to test correlational predictions of the theory. Data obtained with this method (...) revealed that predicted consistency patterns were strongly apparent in the data for implicit (IAT) measures but not in those for parallel explicit (self-report) measures. Two additional not-yet-tested predictions of the theory are described. (shrink)