 Eight Degrees of SeparationNo 12161, Coalition Theory Network Working Papers from Fondazione Eni Enrico Mattei (FEEM) Abstract: The paper presents a model of network formation where every connected couple gives a contribution to the aggregate payoff, eventually discounted by their distance, and the resources are split between agents through the Myerson value. As equilibrium concept we adopt a refinement of pairwise stability. The only parameters are the number N of agents and a constant cost k for every agent to maintain any single link. This setup shows a wide multiplicity of equilibria, all of them connected, as k ranges over non trivial cases. We are able to show that, for any N, when the equilibrium is a tree (acyclical connected graph), which happens for high k, and there is no decay, the diameter of such a network never exceeds 8 (i.e. there are no two nodes with distance greater than 8). Adopting no decay and studying only trees, we facilitate the analysis but impose worst-case scenarios: we conjecture that the limit of 8 should apply for any possible non-empty equilibrium with any decay function. Keywords: Financial; Economics (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:ags:feemct:12161 Access Statistics for this paper More papers in Coalition Theory Network Working Papers from Fondazione Eni Enrico Mattei (FEEM) Contact information at EDIRC. |
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