Directed networks, allocation properties and hierarchy formation

Mathematical social sciences

Volumn 49, Issue 1, 2005, Pages 55-80

  Slikker, Marco ^a   Gilles, Robert P ^b   Norde, Henk ^c   Tijs, Stef ^c  

^a EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

^b VIRGINIA POLYTECHNIC INSTITUTE AND STATE UNIVERSITY   (United States)

^c TILBURG UNIVERSITY   (Netherlands)

Author keywords

Hierarchy; Network formation; Payoff property

Indexed keywords

EID: 10944258356     PISSN: 01654896     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mathsocsci.2004.04.005     Document Type: Article

References (34)

1. R.J. Aumann R. Myerson Endogenous formation of links between players and coalitions: An application of the Shapley value In: A.E. Roth (Ed.) The Shapley Value 1988 Cambridge Cambridge, UP
2. V. Bala S. Goyal A non-cooperative model of network formation Econometrica 68 2000 1181-1229
3. V. Bala S. Goyal Network reliability Review of Economic Design 5 2000 205-228
4. P. Borm G. Owen S. Tijs On the position value for communication situations SIAM Journal on Discrete Mathematics 5 1992 305-320
5. J.J.M. Derks R.P. Gilles Hierarchical organization structures and constraints on coalition formation International Journal of Game Theory 24 1995 147-163
6. B. Dutta M.O. Jackson The stability and efficiency of directed communication networks Review of Economic Design 5 2000 251-272
7. B. Dutta S. Mutuswami Stable networks Journal of Economic Theory 76 1997 322-344
8. B. Dutta A. van den Nouweland S. Tijs Link formation in cooperative situations International Journal of Game Theory 27 1998 245-256
9. Y. Feinberg An incomplete cooperation structure for a voting game can be strategically stable Games and Economic Behavior 24 1998 2-9
10. Gilles, R.P., Sarangi, S., 2004. The role of trust in costly network formation. Working Paper, Department of Economics, Virginia Tech, Blacksburg.
11. Gilles, R.P., Owen, G., 1999. Cooperative Games and Disjunctive Permission Structures. CentER Discussion Paper 9920. Center for Economic Research, Tilburg University, Tilburg.
12. R.P. Gilles G. Owen R. van den Brink Games with permission structures: the conjunctive approach International Journal of Game Theory 20 1992 277-293
13. G. Hamiache A value with incomplete communication Games and Economic Behavior 26 1999 59-78
14. M.O. Jackson The stability and efficiency of economic and social networks In: M.R. Sertel S. Koray (Eds.) Advances in Economic Design 2003 Springer Verlag Berlin
15. M.O. Jackson A. Wolinsky A strategic model of social and economic models Journal of Economic Theory 71 1996 44-74
16. C. Johnson R.P. Gilles Spatial social networks Review of Economic Design 5 2000 273-299
17. E. Kalai D. Samet Weighted Shapley Values In: A.E. Roth (Ed.) The Shapley Value: Essays in Honor of Lloyd S. Shapley 1988 Cambridge University Press Cambridge, MA
18. D. Monderer L.S. Shapley Potential Games Games and Economic Behavior 14 1996 124-143
19. R.B. Myerson Graphs and cooperation in games Mathematics of Operations Research 2 1977 225-229
20. R.B. Myerson Game Theory: Analysis of Conflict 1991 Harvard University Press Cambridge, MA
21. C. Qin Endogenous formation of cooperation structures Journal of Economic Theory 69 1996 218-226
22. L.S. Shapley A value for n-person games In: H.W. Kuhn A.W. Tucker (Eds.) Annals of Mathematics Studies 28: Contributions to the Theory of Games vol. 2 1953 Princeton University Press Princeton, NJ
23. Slikker, M., 2000. Decision Making and Cooperation Restrictions. PhD Dissertation, Tilburg University, Tilburg.
24. M. Slikker H. Norde Incomplete stable structures in symmetric convex games Games and Economic Behavior 48 2004 171-200
25. M. Slikker A. van den Nouweland Social and Economic Networks in Cooperative Game Theory 2001 Kluwer Academic Publishers Boston
26. M. Slikker B. Dutta A. van den Nouweland S. Tijs Potential maximizers and network formation Mathematical Social Sciences 39 2000 55-70
27. Slikker, M., Gilles, R.P., Norde, H., Tijs, S., 2001. Directed Networks, Allocation Properties and Hierarchy Formation. Working Paper E2001-6, Department of Economics, Virginia Tech, Blacksburg, VA.
28. T. Ui A Shapley value representation of potential games Games and Economic Behavior 31 2000 121-135
29. R. van den Brink An axiomatization of the disjunctive permission value for games with a permission structure International Journal of Game Theory 26 1997 27-43
30. van den Brink, R., Borm, P., 1995. Digraph Competitions and Cooperative Games. Tinbergen Institute Working Paper 95-142, Amsterdam.
31. R. van den Brink R.P. Gilles A social power index for hierarchically structured populations of economic agents In: R.P. Gilles P.H.M. Ruys (Eds.) Imperfections and Behavior in Economic Organizations 1994 Kluwer Academic Publishers Boston
32. R. van den Brink R.P. Gilles Axiomatizations of the conjunctive permission value for games with permission structures Games and Economic Behavior 12 1996 113-126
33. van den Nouweland, A., 1993. Games and Graphs in Economic Situations. PhD Dissertation, Tilburg University, Tilburg.
34. A. Watts A dynamic model of network formation Games and Economic Behavior 34 2001 331-341