Characterizations of the β- and the Degree Network Power Measure

René van den Brink1, Peter Borm2, Ruud Hendrickx2, Guillermo Owen3
1Department of Econometrics and Tinbergen Institute, Free University, Amsterdam, The Netherlands
2Center and Department of Econometrics and Operations Research, Tilburg University, Tilburg, The Netherlands
3Department of Mathematics, Naval Postgraduate School, Monterey, USA

Tóm tắt

Từ khóa


Tài liệu tham khảo

Berger M.A. (1993) An Introduction to Probability and Stochastic Processes. Springer-Verlag, New York

Borm P., van den Brink R., Slikker M. (2002), An iterative procedure for evaluating digraph competitions. Annals of Operations Research 109, 61–75

van den Brink R. (2002) Apex games as relational power measures for directed graphs. Social Choice and Welfare 19, 845–867

van den Brink R., Borm P. (2002) Digraph competitions and cooperative Games. Theory and Decision 53, 327–342

van den Brink R., Gilles R.P. (2000) Measuring domination in directed networks. Social Networks 22, 1141–157

Cook K.S., Emerson R.M., Gillmore M.R., Yamagishi T. (1983). Equity and commitment in exchange networks. American Sociological Review 89, 275–305

Emerson R.M. (1962) Power-dependence relations. American Sociological Review 27, 31–41

Hammer P.L., Peled U.N., Sorensen S. (1977), Pseudo-Boolean functions and game theory. I. Core elements and Shapley value. Cahiers du CERO 19, 159–176

Harsanyi, J.C. (1959), A bargaining model for cooperative n-person games, in Tucker, A.W. and Luce, R.D. (eds.), Contributions to the Theory of Games IV, Princeton UP: Princeton, pp. 325–355.

Hendrickx, R., Borm, P., van den Brink, R. and Owen, G. (2005), The VL Value for Network Games, Center Discussion Paper 2005-65, Tilburg University.

Markovsky B., Patton T., Willer D. (1988), Power relations in exchange networks. American Sociological Review 53, 220–236

Shapley, L.S. (1953), A value for n-person Games, in Kuhn, H.W. and Tucker, A.W. (eds.), Annals of Mathematics Studies 28, Princeton University Press, pp. 307–317.

Vasil’ev, V.A. (1975), The Shapley value for cooperative games of bounded polynomial Variation, Optimizacija Vyp 17, 5–27 (in Russian).

Vorob’ev N., Liapunov A. (1998). The proper shapley value. In: Petrosjan L., Mazalov M. (eds). Game Theory and Applications Vol 4. Nova Science, New York, pp. 155–159