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A structural hole in a social network exists between two of a focal actor's contacts if they are nonredundant. Contacts are redundant due either to cohesion, where they have a direct connection to one another, or through structural equivalence, where they have no direct connection but are indirectly connected to the same other actors. Actors who are able to bridge structural holes are also known as brokers or liaisons.

The theory of structural holes assumes that being a liaison is beneficial to the focal actor. When contacts are neither directly nor indirectly connected to one another, then it follows that the structural hole between them has two features: (1) the two contacts provide access to structurally separate pools of information, and (2) the focal actor serves as the unique broker between the contacts, rendering him tertius gaudens (the third who benefits). That is, a structural hole confers a liaison with greater ability to broker indirect connections between other contacts and control the flow of information between them. By providing information and brokerage benefits, structural holes constitute a form of social capital.

The ability to broker indirect connections between other contacts and control the flow of information is a form of social capital.

Research on structural holes has provided empirical support for such structural advantages. Structural advantages in this work are typically measured using the constraint measure, which mathematically captures the degree of redundancy in the ego-network of an actor. Employees and managers with less constraint in their personal networks show better performance evaluations, faster promotions, higher compensation, and better ideas. Organizations in positions of brokerage are perceived as more influential and tend to have higher profit margins. Structural holes have also been found to be associated with more success in organized crime, and the phenomenon has also been identified in early Renaissance politics; for example, politically powerful Medici occupied a central position in the 15th-century network of elite Italian families.

Relationship to other Social Network Concepts

The concept of structural holes is related to other concepts in social network analysis in important ways. Connections to nonredundant contacts tend to be weak ties, as close friends and family members often have many social relationships in common. Weak ties have been found to be associated with greater access to fresh information, in concordance with the information access argument in the theory of structural holes.

The betweenness measure in a network refers to the degree to which an actor lies on shortest paths between pairs of other actors, termed geodesics. Bridging a structural hole generally increases the betweenness centrality for an actor because the shortest path length between pairs of unconnected actors will tend to flow through structural holes.

While structural holes are one form of social capital, closure is another. Networks with high closure have disproportional numbers of closed triads, where A, B, and C are all connected to one another. By definition, actors in these networks must have many redundant contacts. The theoretical argument goes that closure provides direct access to high-quality information, which deteriorates as it moves from one person to another. Closure also facilitates trust by enabling sanctioning. After A abuses B's trust, B can tell C. This would jeopardize the opportunity for A to obtain C's trust. With the threat of sanctioning in place, A will be more inclined to honor B's trust, and anticipating this, B will be more likely to place trust in A.

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