Strategic manipulability without resoluteness or shared beliefs: Gibbard-Satterthwaite generalized

The Gibbard-Satterthwaite Theorem on the manipulability of social-choice rules assumes resoluteness: there are no ties, no multi-member choice sets. Generalizations based on a familiar lottery idea allow ties but assume perfectly shared probabilistic beliefs about their resolution. We prove a more straightforward generalization that assumes almost no limit on ties or beliefs about them. Received: 15 December 1997/Accepted: 16 November 1998     

Mixed refinements of Shapley's saddles and weak tournaments

We investigate refinements of two solutions, the saddle and the weak saddle, defined by Shapley (1964) for two-player zero-sum games. Applied to weak tournaments, the first refinement, the mixed saddle, is unique and gives us a new solution, generally lying between the GETCHA and GOTCHA sets of Schwartz (1972, 1986). In the absence of ties, all three solutions reduce to the usual top cycle set. The second refinement, the weak mixed saddle, is not generally unique, but, in the absence of ties, it is unique and coincides with the minimal covering set. Received: 14 August 1998/Accepted: 12 November 1999     

A deviational approach to blockmodeling of valued networks

This article proposes a novel approach to blockmodeling of valued (one-mode) networks where the identification of (binary) block patterns in the valued relations differ from existing approaches. Rather than looking at the absolute values of relations, or examining valued ties on a per-actor basis (cf. Nordlund, 2007), the approach identifies prominent (binary) ties on the basis of deviations from expected values. By comparing the distribution of each actor's valued relations to its alters with the macro-level distributions of total in- and outdegrees, prominent (1) and non-prominent (0) ties are determined both on a per-actor-to-actor and a per-actor-from-actor basis. This allows for a direct interpretation of the underlying functional anatomy of a non-dichotomized valued network using the standard set of ideal blocks as found in generalized blockmodeling of binary networks.In addition to its applicability for direct blockmodeling, the article also suggests a novel indirect measure of deviational structural equivalence on the basis of such deviations from expected values.Exemplified with the note-sharing data in Žiberna (2007a), citations among social work journals (Baker, 1992), and total commodity trade among EU/EFTA countries as of 2010, both the direct and indirect approach produce results that are more sensitive to variations at the dyadic level than existing approaches. This is particularly evident in the case of the EU/EFTA trade network, where the indirect approach yields partitions and blockmodels in support of theories of regional trade, despite the significantly skewed valued degree distribution of the dataset.     

The determination of enterprise groupings through combined ownership and directorship ties

Recent work on economic structure has tended to focus around discovering general or global mappings to represent complex patterns of binary or multiplex ties. By contrast, this paper seeks to define an intermediate level of structure—the “enterprise ”—and to measure it concretely using a combination of ownership and director/officership or executive board membership ties.In the first section, we outline the theoretical and substantive basis of the concept of “enterprises” as it is used in the literature. Difficulties in the operationalization of this concept are then surveyed and some tentative solutions suggested. In the second section, we describe in detail the methods used to implement our definition of enterprises for a set which includes the 5306 firms which most directly shape the Canadian economy. The third section outlines the impact of the use of four slightly different versions of this definition on arrays of enterprise memberships. Finally, the larger implications of our findings—both for the measurement of intermediate levels of structure and for the study of cross-national economic connections—are discussed.     

Networking Through Loose and Strong Ties: An Australian Qualitative Study

Given the significant role attributed to community organizations by many social capital scholars, it is appropriate to investigate the dynamics of that process. In particular, Woolcock and Narayan (World Bank Res. Obs. 15(2): 225–249, 2000) have suggested that bridging and bonding are two different types of connections, whereby bridging is associated with loose ties across communities and bonding is associated with strong ties within a limited group. This qualitative study explores the loose and strong ties of 39 participants connected through community organizations in rural and urban New South Wales. The results suggest that loose and strong ties are not synonymous with bridging and bonding. In general loose and strong ties differ in degree rather than in kind and people prefer to bridge through their strong ties. The interesting exceptions were ties to professionals, which were highly trusted but defined as loose ties. It is suggested that a model for a high social capital society might be a chain of well-bonded groups each with strong links to some other groups.     

The construction,composition and rationale of immigrants’ network: The support strategies of Ghanaian immigrants in Toronto,Canada

In this article, we investigate the construction, composition and rationale behind the personal networks of recent immigrants to Canada. Drawing on egocentric-network analysis and interviews with 172 Ghanaian immigrants in Toronto, we reveal their networking strategies during their integration. First, we identify social locations that help create ties with different groups: workplaces and schools offer access to ties with non-immigrants and other immigrants alike, while religious and ethnic organizations facilitate ties to co-nationals (i.e., Ghanaians). Second, most individuals within immigrants’ network are co-nationals whose relationship began in Canada, followed by sustained transnational ties in the origin and diaspora and few ties with the non-immigrant. The nature of this network is explained by examining the migration project of immigrants together with the context of reception in Canada, which suggests a desire by immigrants to stay in Canada and make Canada their second home. The implications of these findings are discussed.     

Infrastructures of Sociality: How Disadvantaged Students Navigate Inequity at the University1

Through an ethnography of college life in India, I examine the role of social ties in navigating the inequities of university life. I analyze the socialities of sharing knowledge and resources among disadvantaged students, which I call “infrastructures of sociality.” “Infrastructure” designates here two things: first, the role of the university's infrastructure—its physical spaces and organizational routines—in enabling social ties; and second, the fact that these social ties literally function as infrastructure, in that they make university life possible for disadvantaged students, especially in the context of institutional neglect. I therefore advance Bourdieusian scholarship that views social ties among disadvantaged students as merely lacking in social capital, arguing instead that these ties constitute a form of non-dominant social capital that is analytically distinct and powerful in its own right. Yet, I suggest that these social ties are a double-edged sword: while the intensive mutual aid of disadvantaged students makes university participation possible, it nonetheless rests on exclusion from more privileged social groups. Thus, despite mitigating exclusion from the university, infrastructures of sociality also inadvertently participate in the reproduction of inequality, by reinforcing exclusion from the elite cultural and social resources circulating among privileged students.     

The analysis of multiple ties in longitudinal egocentric network data: A case study on bidirectional relationships between trust and drug use

We extend multi-level models to examine single egocentric network ties to the joint analysis of paired dynamic ties. Two analytic challenges are addressed. First, inference needs to account for multiple layers of nesting: ties are nested within pairs, pairs are nested within time points, and time points are nested within egos. Second, the focus is on the relationship between two dynamic ties; specification of outcome and predictor may be difficult. Instead, we treat both ties as outcomes. Our approach is used to analyze trust and reported drug use between egos and alters over time in a Bayesian framework.     

IS WORK THE NEW NEIGHBORHOOD? Social Ties in the Workplace,Family, and Neighborhood

The work–family literature emphasizes how work intrudes into family life, and some scholars suggest that social ties based in the workplace may be replacing ties to family or neighbors. Using data from the Ecology of Careers Panel Study, we describe the prevalence of strong ties with family, coworkers, and neighbors in a dual‐earner, middle‐class sample. We also examine which respondents are more likely to have strong ties in the workplace. We find that most respondents do not have any strong ties with coworkers; however, coworker ties are much more common than ties to neighbors. Additionally, there are gender differences in network ties and these differences may have important consequences for social support.     

The Shapley-Shubik index,the donation paradox and ternary games

In this paper, we show that although the Shapley-Shubik index is immune to the donation paradox in weighted binary games, extension of the index to ternary games along the direction suggested in Felsenthal and Machover (1996, 1997) will cause it to be vulnerable to the paradox and this is the case as long as the number of players in the game exceeds three. This undermines the attractiveness of the Shapley-Shubik index as a measure of a priori voting power. Received: 23 November 2001/Accepted: 3 April 2002     

Prismatic effects of negative ties

Research on negative ties has focused primarily on the harm they do. In this paper, we show that negative ties can also have beneficial effects. We argue that, like positive ties, negative ties can link actors together in the minds of observers. As a result, we theorize that negative ties with high-status actors can benefit a focal actor, whereas negative ties with low-status actors can harm the focal actor. This prismatic effect depends on the existing status of the focal actor: a focal actor of low status is likely to benefit far more from negative ties with high-status actors and suffer more from negative ties with low-status actors than will an actor of high-status. To test our ideas, we analyze the phenomenon of "diss songs" in hip-hop music. A diss song is a song in which a rapper makes derogatory comments about another rapper, constituting a negative tie. We analyze the effects of negative ties among 53 rappers over 20 points in time on audience reaction as measured by record sales. We find that negative ties with high-status actors enhance future sales for low-status actors. However, negative ties with lower-status actors have no effect on the future sales of both low- and high-status actors. Just as some researchers have reported both positive and negative consequences of social capital, our study demonstrates that negative ties can also have both positive and negative outcomes.     

Networks containing negative ties

Social network analysts have often collected data on negative relations such as dislike, avoidance, and conflict. Most often, the ties are analyzed in such a way that the fact that they are negative is of no consequence. For example, they have often been used in blockmodeling analyses where many different kinds of ties are used together and all ties are treated the same, regardless of meaning. However, sometimes we may wish to apply other network analysis concepts, such as centrality or cohesive subgroups. The question arises whether all extant techniques are applicable to negative tie data. In this paper, we consider in a systematic way which standard techniques are applicable to negative ties and what changes in interpretation have to be made because of the nature of the ties. We also introduce some new techniques specifically designed for negative ties. Finally we show how one of these techniques for centrality can be extended to networks with both positive and negative ties to give a new centrality measure (PN centrality) that is applicable to directed valued data with both positive and negative ties.     

The weakness of tie strength

The relationship between network structure and access to novel information has fascinated social scientists for decades, culminating in the recent identification of the bandwidth-diversity tradeoff. Yet, existing work focuses on a unidimensional conception of network ties that leaves many important sources of novel information unexplored. We unpack bandwidth, identifying three factors that govern the transmission behavior of network ties: capacity (the ability of a tie to transmit content), frequency (the average time between tie activations), and redundancy (the extent to which a tie reaches persons who are connected to each other). Empirical analyses and simulation models reveal new types of ties, as well as the conventional variety, that open promising research avenues.     

The tie effect on information dissemination: the spread of a commercial rumor in Hong Kong

The ability to acquire information has been considered a crucial factor facilitating instrumental actions, such as job search and organizational innovation. Previous social network studies tend to treat the characteristics of social ties through which information is acquired as causes that may affect instrumental outcomes. However, little research has directly examined the spread of information via social ties and the tie effect on information dissemination. Using telephone survey data collected after the outbreak of an extensive commercial rumor in Hong Kong, the present paper investigates the characteristics of social ties through which the information is spread and the tie effect on information dissemination. Results show that while mass media, particularly television, serves as a major channel of information flow, social ties are also widely used. Individuals tend to share information with strong ties, or people with whom they perceive to have good relations. However, information transmitted via kin ties tends to arrive at the respondent faster than via nonkin ties or other communication channels. Implications of the findings are discussed.     

A test of structural features of granovetter's strength of weak ties theory

Granovetter's ‘strength of weak ties’ theory offers a satisfying approach to the study of integration in networks of face-to-face interaction consisting of multiple subgroups. The present paper tests five hypotheses of this theory in the setting of a multidisciplinary social network of biological scientists. Considerable support for the theory is indicated: the local bridges and intergroup ties in the network are disproportionately weak ties.     

Validation of tie corroboration and reported alter characteristics among a sample of young men who have sex with men

The differences between direct ties (i.e., ties between a respondent and their nominees) and ties between nominees (indirect) are key to understanding network structure, yet remain understudied. Within a sample of 175 young men who have sex with men, we explored the corroboration of sex and drug ties, and factors associated with corroboration. The majority of instances in which there was no corroboration for either sex or drug ties was due to one individual not appearing in another respondent’s network. When an individual did appear in another respondent’s network, direct sex and drug ties were corroborated in most cases. We also found that more indirect sex ties were corroborated than direct sex ties (95.7% vs. 88.9%), but the reverse was true for indirect versus direct drug ties (73.1% vs. 84.1%). Strength of relationship and frequency of communication were both associated with confirmed direct ties, but not with indirect ties. Based on these findings, we recommend that direct and indirect ties be treated differently in network analyses.     

Disliking friends of friends in schools: How positive and negative ties can co-occur in large numbers

Current network scholarship does not explain why negative and positive ties both frequently occur in large numbers in some settings, such as schools. In the present paper, I argue that this can happen when people disproportionately send negative ties to socially close individuals (‘friends of friends’). I propose a new theory—‘intensity theory’—which argues that disliking ties disproportionately occur between friends of friends in ‘intense foci’. Intense foci are settings that concentrate social relations, and in which other people are difficult to avoid. I draw on a mixed-methods case study of a boarding school and several strands of literature to substantiate the theory. In so doing, I offer a new mechanism for the initial appearance of disliking ties, propose a contextual approach to balance theory and networks in general, and suggest a more complex view of the link between positive and negative ties.     

Generalized blockmodeling of valued networks

The paper presents several approaches to generalized blockmodeling of valued networks, where values of the ties are assumed to be measured on at least interval scale. The first approach is a straightforward generalization of the generalized blockmodeling of binary networks [Doreian, P., Batagelj, V., Ferligoj, A., 2005. Generalized Blockmodeling. Cambridge University Press, New York.] to valued blockmodeling. The second approach is homogeneity blockmodeling. The basic idea of homogeneity blockmodeling is that the inconsistency of an empirical block with its ideal block can be measured by within block variability of appropriate values. New ideal blocks appropriate for blockmodeling of valued networks are presented together with definitions of their block inconsistencies.     

Race,ethnicity and the strength of Facebook ties

This study investigates the role of race and ethnicity in the self-reported strength of the social ties of young adolescents on Facebook. Based on the social diversification hypothesis, which argues that in multicultural societies, race and ethnicity are key factors that shape the nature of associations, we examine whether there are ethnic and racial differences in the size and strength of the ties of adolescent Facebook users and the role of the strength of these ties in several positive outcomes. Using data from the U.S. Teens’ Social Media and Privacy Survey conducted by the Pew Research Center’s Internet & American Life project among 802 teens ages 12–17, we found no differences in the total number of ties that adolescents from different ethnic and racial groups reported. However, African Americans reported significantly higher number of weak ties, while White Americans had a significantly higher number of strong ties. The results are consistent with the social diversification hypothesis. The implications of the findings are discussed.     

Interlocking directorates in canada: evidence from replacement patterns

Cross-sectional studies of interlocking directorates cannot adequately address the question of whether the network is primarily an accumulation of planned liaisons between specific pairs of firms or whether it reflects a more diffuse collective interest of the capitalist class. By examining the outcomes when ties are broken, it is possible to discover if ties between specific firms are usually replaced, as would occur if planned liaisons dominated the network. Replacement patterns are examined for interlocks among all firms ever among the one hundred largest Canadian firms between 1946 and 1977. About 30 percent of the broken ties are replaced by ties between the same pair of firms. Ties involving an executive of one of the firms (“insider ties”) are more likely to be replaced as are ties between firms with two or more interlocks. The findings suggest that interlocks serve both as vehicles of intercorporate control and liaison and as reflections of the class character of the group from which the directors of large firms are recruited.