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Connections Among Farsighted Agents
Author(s) -
GRANDJEAN GILLES,
MAULEON ANA,
VANNETELBOSCH VINCENT
Publication year - 2011
Publication title -
journal of public economic theory
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.809
H-Index - 32
eISSN - 1467-9779
pISSN - 1097-3923
DOI - 10.1111/j.1467-9779.2011.01526.x
Subject(s) - pairwise comparison , set (abstract data type) , stability (learning theory) , function (biology) , mathematical economics , regular polygon , mathematical optimization , computer science , mathematics , artificial intelligence , machine learning , geometry , evolutionary biology , biology , programming language
We study the stability of social and economic networks when players are farsighted. In particular, we examine whether the networks formed by farsighted players are different from those formed by myopic players. We adopt the notion of pairwise farsightedly stable sets (Herings, Mauleon, and Vannetelbosch 2009). We first show that under the componentwise egalitarian allocation rule, the set of strongly efficient networks and the set of pairwise (myopically) stable networks that are immune to coalitional deviations are the unique pairwise farsightedly stable set if and only if the value function is top convex. We then investigate in some classical models of social and economic networks whether the pairwise farsightedly stable sets of networks coincide or not with the set of pairwise (myopically) stable networks and the set of strongly efficient networks.