Allocation rules for fixed and flexible networks: the role of players and their links
We propose an allocation rule that takes into account the importance of players and their links and characterizes it for a fixed network. Unlike previous rules, our characterization does not require component additivity. Next, we extend it to flexible networks a la Jackson (2005). Finally, we provide a comparison with other fixed (network Myerson and Position value) and flexible network (player and link based) allocation rules through a number of examples.
|Date of creation:||02 Dec 2011|
|Date of revision:|
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- Matthew O. Jackson, 2003.
"Allocation Rules for Network Games,"
1160, California Institute of Technology, Division of the Humanities and Social Sciences.
- Marco Slikker, 2005. "A characterization of the position value," International Journal of Game Theory, Springer;Game Theory Society, vol. 33(4), pages 505-514, November.
- Gilles, R.P. & Sarangi, S., 2003.
"The Role of Trust in Costly Network Formation,"
2003-53, Tilburg University, Center for Economic Research.
- Sudipta Sarangi & Robert P. Gilles, 2004. "The Role of Trust in Costly Network Formation," Econometric Society 2004 North American Summer Meetings 483, Econometric Society.
- Sgroi, Daniel, 2008. "Social network theory, broadband and the future of the World Wide Web," Telecommunications Policy, Elsevier, vol. 32(1), pages 62-84, February.
- Kamijo, Yoshio, 2009. "A linear proportional effort allocation rule," Mathematical Social Sciences, Elsevier, vol. 58(3), pages 341-353, November.
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