TY - GEN

T1 - Impact of a non-linear pay-off function on pairwise stable collaborative oligopolies

AU - Lichter, Shaun

AU - Friesz, Terry

AU - Griffin, Christopher

PY - 2013

Y1 - 2013

N2 - We extend the results of Goyal and Joshi (S. Goyal and S. Joshi. Networks of collaboration in oligopoly. Games and Economic behavior, 43(1):57-85, 2003), who first considered the problem of collaboration networks of oligopolies and showed that under certain linear assumptions network collaboration produced a stable complete graph through selfish competition. We show with nonlinear cost functions and player payoff alteration that stable collaboration graphs with an arbitrary degree sequence can result. We also show a generalized non-linear extension for the result in the aforementioned paper in which the complete graph is stable. An example is provided in which the complete set of pairwise stable collaborations is computed for an oligopoly consisting of five firms.

AB - We extend the results of Goyal and Joshi (S. Goyal and S. Joshi. Networks of collaboration in oligopoly. Games and Economic behavior, 43(1):57-85, 2003), who first considered the problem of collaboration networks of oligopolies and showed that under certain linear assumptions network collaboration produced a stable complete graph through selfish competition. We show with nonlinear cost functions and player payoff alteration that stable collaboration graphs with an arbitrary degree sequence can result. We also show a generalized non-linear extension for the result in the aforementioned paper in which the complete graph is stable. An example is provided in which the complete set of pairwise stable collaborations is computed for an oligopoly consisting of five firms.

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U2 - 10.1109/SocialCom.2013.112

DO - 10.1109/SocialCom.2013.112

M3 - Conference contribution

AN - SCOPUS:84893519780

SN - 9780769551371

T3 - Proceedings - SocialCom/PASSAT/BigData/EconCom/BioMedCom 2013

SP - 750

EP - 755

BT - Proceedings - SocialCom/PASSAT/BigData/EconCom/BioMedCom 2013

T2 - 2013 ASE/IEEE Int. Conf. on Social Computing, SocialCom 2013, the 2013 ASE/IEEE Int. Conf. on Big Data, BigData 2013, the 2013 Int. Conf. on Economic Computing, EconCom 2013, the 2013 PASSAT 2013, and the 2013 ASE/IEEE Int. Conf. on BioMedCom 2013

Y2 - 8 September 2013 through 14 September 2013

ER -