A unified approach to restricted games

Theory and Decision

Volumn 50, Issue 4, 2001, Pages 333-345

  Algaba, E ^b   Bilbao, J M ^a   Lopez J J ^b  

^a UNIVERSITY OF SEVILLE   (Spain)

^b NONE

Author keywords

Convex games; Convex geometries; Core; Restricted games

Indexed keywords

EID: 0041876328     PISSN: 00405833     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1010344404281     Document Type: Article

References (13)

1. Bondareva, O. (1963), Some applications of linear programming methods to the theory of cooperative games, Problem Kibernet 10: 119-139.
2. Borm, P., Owen, G. and Tijs, S. (1992), The position value for communication situations, SIAM J. Discrete Math. 5: 305-320.
3. Edelman, P.H. and Jamison, R.E. (1985), The theory of convex geometries, Geom. Dedicata 19: 247-270.
4. Faigle, U. (1989), Cores of games with restricted cooperation, Zeitschrift für Operations Research 33: 405-422.
5. Grötschel, M., Lovász, L. and Schrijver, A. (1988), Geometric Algorithms and Combinatorial Optimization. Berlin: Springer Verlag.
6. Hamers, H., Borm, P. and Tijs, S. (1995), On games corresponding to sequencing situations with ready times, Mathematical Programming 69: 471-483.
7. Kaneko, M. and Wooders, M.H. (1982), Cores of partitioning games, Math. Social Sciences 3: 313-327.
8. Kuipers, J. (1994), Combinatorial Methods in Cooperative Game Theory, Ph.D. Dissertation, Rijksuniversiteit Limburg, Maastricht.
9. Myerson, R. (1977), Graphs and Cooperation in games, Math. Oper. Res. 2: 225-229.
10. Nouweland, A. van den and Borm, P. (1991), On the convexity of communication games, International Journal of Game Theory 19: 421-430.
11. Owen, G. (1986), Values of graph-restricted games, SIAM J. Alge. Disc. Methods 7: 210-220.
12. Potters, J. and Reijnierse, H. (1995), Γ-component additive games, International Journal of Game Theory 24: 49-56.
13. Shapley, L.S. (1967), On balanced sets and cores, Naval Research Logistics Quarterly 14: 453-460.