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Complex Social Networks

          Nowadays, there is a convergent interest from different disciplines (economics, certainly, but also sociology as well as physics or biology) to understand the unfolding of interaction processes as the result of a complex (and possibly evolving) network of connections among the different "units" involved. The essential idea that underlies this approach is the belief that the topology (or architecture) of the interaction is an essential part of many processes and it cannot be ignored without missing a crucial ingredient of the phenomena at hand.

Somewhat more specifically, this is the point stressed by sociologists and (a growing number of) economists when they speak of the key role played by social networks in "embedding" many socio-economic phenomena. Such a network embedding is important, for example, to understand how information flows and employement is distributed in modern labor markets. They have also been found to play a key role in reconciling the twin and conflicting forces of cooperation and competition (say in R&D or marketing activities) arising naturally in industrial setups. The range of socio-economic problems whose theoretical and empirical analysis is well served by a detailed understanding of the social networks that underlie them is very wide. Besides the former two, one may list the following phenomena:

  •  the diffusion of technologies and fads;
  •  patterns of scientific collaboration;
  •  the operating structure -- formal and informal -- of firms and other organizations;
  •  processes of inter-agent bargaining in large populations;
  •  patterns of inter-industrial trade in both domestic and globalized (international) markets;
  •  the persistence of institutions in either modern or historical times.

This rich collection of examples underscores the importance of social networks in understanding a wide variety of socio-economic phenomena. But, of course, it also begs the question of how those social networks (in particular, their architecture and general topological features) come about in the first place. It raises the question, that is, of how social networks are endogenously shaped out of the purposeful decisions of the agents that form part of them.

Understanding network formation and its interplay with other socio-economic decisions is the central concern of the field of social network analysis. To address it, much of the research has been pursued along two largely independent lines.

One of them is game-theoretic, in the classic sense of the term, and focuses on agents' payoffs and incentives. It involves positing a network-formation game, where the possible options (strategies) available to the agents as well as their payoffs are specified in detail. Then, some "solution concept" is applied to single out the predicted, or otherwise prescribed, outcome of the network-formation game. Implicitly, this approach presumes a high degree of rationality and knowledge on the part of agents or, alternatively, a relatively simple and stable environment.

By contrast, the second approach is of a phenomenological nature and stresses the statistical regularities to be expected in large and complex environments when the networking process is governed by simple ("algorithmic") rules. In this case, the richness of detail is not associated to the decision framework of agents but pertains instead to the systemic regularities resulting from the interaction of a large number of independent agents. Many interesting insights are obtained in this way, although they are not fully satisfactory since they lack a well-formulated "micro foundation" in agent behavior.

The above considerations suggest that large benefits could accrue from an integration of the former two methodologies, i.e. from an approach that not only reflects agents' incentives but also accounts for the complex setup they face. Much of my recent research efforts are devoted to advancing in this integration, with a special focus on issues of search and congestion in large complex environments that are subject to significant volatility. In these contexts, an important finding is that the so-called Red Queen Principle ("... it takes all the running you can do, to keep in the same place.") applies starkly. That is, only if the social network evolves to a state where wide and effective search is possible, a dense and fruitful level of interaction can be maintained.

 


 


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