In the spirit of Von Neumann and Morgenstern (Theory of games and economic behavior, Princeton University Press, Princeton, 1944), we introduce a notion of network stability. We study the structure of stable economic networks and their associated stable payoff allocations by analyzing the conditions under which complete networks and star networks (both with desirable property of inclusiveness) are stable. We also address conditions for existence and uniqueness of stable set of networks.
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Univ Sao Paulo, Sao Carlos Inst Phys, POB 369, BR-13560970 Sao Carlos, SP, BrazilUniv Sao Paulo, Sao Carlos Inst Phys, POB 369, BR-13560970 Sao Carlos, SP, Brazil
Benatti, Alexandre
de Arruda, Henrique Ferraz
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Univ Sao Paulo, Sao Carlos Inst Phys, POB 369, BR-13560970 Sao Carlos, SP, Brazil
CENTAI Inst, Turin, ItalyUniv Sao Paulo, Sao Carlos Inst Phys, POB 369, BR-13560970 Sao Carlos, SP, Brazil
de Arruda, Henrique Ferraz
Silva, Filipi Nascimento
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Indiana Univ, Network Sci Inst, Bloomington, IN USAUniv Sao Paulo, Sao Carlos Inst Phys, POB 369, BR-13560970 Sao Carlos, SP, Brazil
Silva, Filipi Nascimento
Comin, Cesar Henrique
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Univ Fed Sao Carlos, Dept Comp Sci, Sao Carlos, BrazilUniv Sao Paulo, Sao Carlos Inst Phys, POB 369, BR-13560970 Sao Carlos, SP, Brazil
Comin, Cesar Henrique
Costa, Luciano da Fontoura
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Univ Sao Paulo, Sao Carlos Inst Phys, POB 369, BR-13560970 Sao Carlos, SP, BrazilUniv Sao Paulo, Sao Carlos Inst Phys, POB 369, BR-13560970 Sao Carlos, SP, Brazil