Bounded Rationality and Repeated Network Formation
We define a finite-horizon repeated network formation game with consent, and study the differences induced by different levels of individual rationality. We prove that perfectly rational players will remain unconnected at the equilibrium, while nonempty equilibrium networks may form when, following Neyman (1985), players are assumed to behave as finite automata. We define two types of equilibria, namely the Repeated Nash Network (RNN), in which the same network forms at each period, and the Repeated Nash Equilibrium (RNE), in which different networks may form. We state a sufficient condition under which a given network may be implemented as a RNN. Then, we provide structural properties of RNE. For instance, players may form totally different networks at each period, or the networks within a given RNE may exhibit a total order relationship. Finally we investigate the question of efficiency for both Bentham and Pareto criteria.
|Date of creation:||May 2006|
|Contact details of provider:|| Postal: Corso Magenta, 63 - 20123 Milan|
Web page: http://www.feem.it/
More information through EDIRC
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Herbert A. Simon, 1955. "A Behavioral Model of Rational Choice," The Quarterly Journal of Economics, Oxford University Press, vol. 69(1), pages 99-118.
- Robert P. Gilles & Sudipta Sarangi, 2006. "Building Social Networks," Discussion Papers of DIW Berlin 642, DIW Berlin, German Institute for Economic Research.
- Jackson, Matthew O., 1998.
"The Evolution of Social and Economic Networks,"
1044, California Institute of Technology, Division of the Humanities and Social Sciences.
- Matt Jackson, 2003.
"The Effects of Social Networks on Employment and Inequality,"
Theory workshop papers
658612000000000032, UCLA Department of Economics.
- Antoni Calvó-Armengol & Matthew O. Jackson, 2004. "The Effects of Social Networks on Employment and Inequality," American Economic Review, American Economic Association, vol. 94(3), pages 426-454, June.
- Kalai, Ehud & Stanford, William, 1988.
"Finite Rationality and Interpersonal Complexity in Repeated Games,"
Econometric Society, vol. 56(2), pages 397-410, March.
- Ehud Kalai & William Stanford, 1986. "Finite Rationality and Interpersonal Complexity in Repeated Games," Discussion Papers 679, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Patrick Bolton & Mathias Dewatripont, 1994. "The Firm as a Communication Network," The Quarterly Journal of Economics, Oxford University Press, vol. 109(4), pages 809-839.
- Mathias Dewatripont & Patrick Bolton, 2004.
"The firm as a communication network,"
ULB Institutional Repository
2013/9599, ULB -- Universite Libre de Bruxelles.
- Mathias Dewatripont & Patrick Bolton, 1996. "The firm as a communication network," ULB Institutional Repository 2013/9597, ULB -- Universite Libre de Bruxelles.
- Mathias Dewatripont & Patrick Bolton, 1994. "The firm as a communication network," ULB Institutional Repository 2013/9595, ULB -- Universite Libre de Bruxelles.
- Neyman, Abraham, 1985. "Bounded complexity justifies cooperation in the finitely repeated prisoners' dilemma," Economics Letters, Elsevier, vol. 19(3), pages 227-229.
- Rubinstein, Ariel, 1986.
"Finite automata play the repeated prisoner's dilemma,"
Journal of Economic Theory,
Elsevier, vol. 39(1), pages 83-96, June.
- Ariel Rubinstein, 1997. "Finite automata play the repeated prisioners dilemma," Levine's Working Paper Archive 1639, David K. Levine.
- Matthew O. Jackson & Asher Wolinsky, 1995.
"A Strategic Model of Social and Economic Networks,"
1098R, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Venkatesh Bala & Sanjeev Goyal, 2000. "A Noncooperative Model of Network Formation," Econometrica, Econometric Society, vol. 68(5), pages 1181-1230, September.
- Dutta, Bhaskar & Ghosal, Sayantan & Ray, Debraj, 2005.
"Farsighted network formation,"
Journal of Economic Theory,
Elsevier, vol. 122(2), pages 143-164, June.
- Watts, Alison, 2002. "Non-myopic formation of circle networks," Economics Letters, Elsevier, vol. 74(2), pages 277-282, January.
- Abreu, Dilip & Rubinstein, Ariel, 1988. "The Structure of Nash Equilibrium in Repeated Games with Finite Automata," Econometrica, Econometric Society, vol. 56(6), pages 1259-1281, November.
- Abraham Neyman, 1998. "Finitely Repeated Games with Finite Automata," Mathematics of Operations Research, INFORMS, vol. 23(3), pages 513-552, August.
- Sanjeev Goyal & Fernando Vega-Redondo, 2003.
"Network Formation and Social Coordination,"
481, Queen Mary University of London, School of Economics and Finance.
- A. Banerjee & Drew Fudenberg, 2010.
"Word-of-Mouth Communication and Social Learning,"
Levine's Working Paper Archive
425, David K. Levine.
- Ellison, Glenn, 1993.
"Learning, Local Interaction, and Coordination,"
Econometric Society, vol. 61(5), pages 1047-1071, September.
When requesting a correction, please mention this item's handle: RePEc:fem:femwpa:2006.74. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (barbara racah)
If references are entirely missing, you can add them using this form.