Characterizations of the random order values by Harsanyi payoff vectors

Mathematical Methods of Operations Research

Volumn 64, Issue 1, 2006, Pages 155-163

  Derks, Jean ^a   Van der Laan, Gerard ^b   Vasil'ev, Valery ^c  

^a MAASTRICHT UNIVERSITY   (Netherlands)

^b VU UNIVERSITY AMSTERDAM   (Netherlands)

^c SOBOLEV INSTITUTE OF MATHEMATICS   (Russian Federation)

Author keywords

Harsanyi set; Monotonic sharing systems; Selectope; TU games; Weber set

Indexed keywords

COMBINATORIAL MATHEMATICS; GAME THEORY; OPERATIONS RESEARCH; SET THEORY; VECTORS;

HARSANYI SET; MONOTONIC SHARING SYSTEMS; SELECTOPES; TU-GAMES; WEBER SET;

RANDOM PROCESSES;

EID: 33747174530     PISSN: 14322994     EISSN: 14325217     Source Type: Journal    
DOI: 10.1007/s00186-006-0063-7     Document Type: Article

References (15)

1. Derks J (2005) A new proof for Weber's characterization of the random order values. Math Soc Sci 49:327-334
2. Derks J, Peters H (2002) A note on a consistency property for permutations. Discrete Math 250:241-244
3. Derks J, Haller H, Peters H (2000) The selectope for cooperative games. Int J Game Theory 29:23-38
4. Dragan I (1994) Multiweighted Shapley values and random order values. In: Proceedings of the 10th conference on applied mathematics, U.C. Oklahoma, pp 33-47
5. Hammer PL, Peled UN, Sorensen S (1977) Pseudo-boolean functions and game theory. I. Core elements and Shapley value. Cahiers Centre Etudes Rech Oper 19:159-176
6. Harsanyi JC (1959) A bargaining model for cooperative n-person games. In: Tucker AW, Luce RD (eds) Contributions to the theory of games vol IV. Princeton University Press, Princeton, pp 325-355
7. Harsanyi JC (1963) A simplified bargaining model for the n-person game. Int Econ Rev 4:194-220
8. Shapley LS (1953) A value for n-person games. In:Kuhn HW. Tucker AW (eds) Contributions to the theory of games, vol II. Princeton University Press, Princeton, pp 307-317
9. Vasil'ev VA (1978) Support function of the core of a convex game. Optimizacija Vyp 21:30-35 (in Russian)
10. Vasil'ev VA (1980) On the H-payoff vectors for cooperative games. Optimizacija Vyp 24:18-32 (in Russian)
11. Vasil'ev VA (1981) On a class of imputations in cooperative games. Soviet Math Dokl 23:53-57
12. Vasil'ev VA (1988) Characterization of the cores and generalized NM-solutions for some classes of cooperative games. Proc Inst Math Novosibirsk Nauk 10:63-89 (in Russian)
13. Vasil'ev VA (2003) Extreme points of the Weber polyhedron. Discretnyi Analiz i Issledovaniye Operatsyi Ser.1 10:17-55 (in Russian).
14. Vasil'ev VA, Laan, G van der (2002) The Harsanyi set for cooperative TU-games. Siberian Adv Math 12:97-125
15. Weber RJ (1988) Probabilistic values for games. In: Roth AE (ed) The Shapley value, Essays in honor of L.S. Shapley Cambridge University Press, Cambridge, pp 101-119