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Volumn 21, Issue 3, 1996, Pages 734-756

The modified nucleolus as canonical representation of weighted majority games

Author keywords

Cooperative game; Solution concept; Weighted majority game

Indexed keywords

GRAPH THEORY; OPTIMIZATION; PROBABILITY; VECTORS;

EID: 0030204528     PISSN: 0364765X     EISSN: None     Source Type: Journal    
DOI: 10.1287/moor.21.3.734     Document Type: Article
Times cited : (22)

References (34)
  • 3
    • 0001752945 scopus 로고
    • The desirability relation of simple games
    • Einy, E. (1985). The desirability relation of simple games. Math. Social Sci. 10 155-168.
    • (1985) Math. Social Sci. , vol.10 , pp. 155-168
    • Einy, E.1
  • 4
    • 0001697220 scopus 로고
    • Regular simple games
    • _ and E. Lehrer (1989). Regular simple games. Int. J. Game Theory 18 195-208.
    • (1989) Int. J. Game Theory , vol.18 , pp. 195-208
    • Lehrer, E.1
  • 5
    • 0000752384 scopus 로고
    • A class of majority games
    • Isbell, J. R. (1956). A class of majority games. Quarterly J. Math. 7 183-187.
    • (1956) Quarterly J. Math. , vol.7 , pp. 183-187
    • Isbell, J.R.1
  • 6
    • 84972508260 scopus 로고
    • A class of simple games
    • _ (1958). A class of simple games. Duke Math. J. 25 423-439.
    • (1958) Duke Math. J. , vol.25 , pp. 423-439
  • 7
    • 0002542124 scopus 로고
    • On the enumeration of majority games
    • _ (1959). On the enumeration of majority games. Math. Tables Aids Comput. 3 21-28.
    • (1959) Math. Tables Aids Comput. , vol.3 , pp. 21-28
  • 8
    • 0002594225 scopus 로고
    • On the nucleolus of a characteristic function game
    • Kohlberg, E. (1971). On the nucleolus of a characteristic function game. SIAM J. Appl. Math. 20 62-66.
    • (1971) SIAM J. Appl. Math. , vol.20 , pp. 62-66
    • Kohlberg, E.1
  • 11
    • 70350090816 scopus 로고
    • The bargaining set, kernel, and nucleolus: A survey
    • R. J. Aumann and S. Hart, Eds., Elsevier Science Publishers B.V., Amsterdam, The Netherlands
    • Maschler, M. (1992). The bargaining set, kernel, and nucleolus: A survey. In R. J. Aumann and S. Hart, Eds., Handbook of Game Theory 1, Elsevier Science Publishers B.V., Amsterdam, The Netherlands, 591-665.
    • (1992) Handbook of Game Theory , vol.1 , pp. 591-665
    • Maschler, M.1
  • 12
    • 0013870099 scopus 로고
    • A characterization, existence proof and dimension bounds for the kernel of a game
    • _ and B. Peleg (1966). A characterization, existence proof and dimension bounds for the kernel of a game. Pacific J. Math. 18 289-328.
    • (1966) Pacific J. Math. , vol.18 , pp. 289-328
    • Peleg, B.1
  • 13
    • 34250470312 scopus 로고
    • The kernel and bargaining set for convex games
    • _, _ and L. S. Shapley (1972). The kernel and bargaining set for convex games. Int. J. Game Theory 1 73-93.
    • (1972) Int. J. Game Theory , vol.1 , pp. 73-93
    • Shapley, L.S.1
  • 14
    • 0001443849 scopus 로고
    • Geometric properties of the kernel, nucleolus, and related solution concepts
    • _, _ and _(1979). Geometric properties of the kernel, nucleolus, and related solution concepts. Math. Oper. Res. 4 303-338.
    • (1979) Math. Oper. Res. , vol.4 , pp. 303-338
  • 16
    • 0002309785 scopus 로고
    • On the numerical representation of homogeneous games
    • Ostmann, A. (1987a). On the numerical representation of homogeneous games. Int. J. Game Theory 16 69-81.
    • (1987) Int. J. Game Theory , vol.16 , pp. 69-81
    • Ostmann, A.1
  • 18
    • 85033864052 scopus 로고
    • Working Paper 169, Inst. of Math. Economics, University of Bielefeld, Germany
    • _ (1989). Simple games: On order and symmetry. Working Paper 169, Inst. of Math. Economics, University of Bielefeld, Germany.
    • (1989) Simple Games: On Order and Symmetry
  • 19
    • 0011633106 scopus 로고
    • On weights of constant-sum majority games
    • Peleg, B. (1968). On weights of constant-sum majority games. SIAM J. Appl. Math. 16 527-532.
    • (1968) SIAM J. Appl. Math. , vol.16 , pp. 527-532
    • Peleg, B.1
  • 20
    • 0040237404 scopus 로고
    • Research Memoranda No. 81-88, Center for Research in Math. Economics and Game Theory, The Hebrew University, Jerusalem, Israel
    • _ (1988/89). Introduction to the theory of cooperative games. Research Memoranda No. 81-88, Center for Research in Math. Economics and Game Theory, The Hebrew University, Jerusalem, Israel.
    • (1988) Introduction to the Theory of Cooperative Games
  • 21
    • 38249009192 scopus 로고
    • The least-core, nucleolus, and kernel of homogeneous weighted majority games
    • _ and J. Rosenmüller (1992). The least-core, nucleolus, and kernel of homogeneous weighted majority games. Games and Economic Behaviour 4 588-605.
    • (1992) Games and Economic Behaviour , vol.4 , pp. 588-605
    • Rosenmüller, J.1
  • 23
    • 85033850613 scopus 로고
    • Working Paper 115, Inst. of Math. Econ., University of Bielefeld, Germany
    • Rosenmüller, J. (1982). On homogeneous weights for simple games, Working Paper 115, Inst. of Math. Econ., University of Bielefeld, Germany.
    • (1982) On Homogeneous Weights for Simple Games
    • Rosenmüller, J.1
  • 24
    • 0021506729 scopus 로고
    • Weighted majority games and the matrix of homogeneity
    • _ (1984). Weighted majority games and the matrix of homogeneity. Zeit schrift für Oper. Res. 12 123-141.
    • (1984) Zeit Schrift für Oper. Res. , vol.12 , pp. 123-141
  • 25
    • 0023345260 scopus 로고
    • Homogeneous games: Recursive structure and computation
    • _ (1987). Homogeneous games: recursive structure and computation. Math. Oper. Res. 12 309-330.
    • (1987) Math. Oper. Res. , vol.12 , pp. 309-330
  • 26
    • 38149146462 scopus 로고
    • The nucleolus of homogeneous games with steps
    • _ and P. Sudhölter (1994). The nucleolus of homogeneous games with steps. Discrete Appl. Math. 50 53-76.
    • (1994) Discrete Appl. Math. , vol.50 , pp. 53-76
    • Sudhölter, P.1
  • 27
    • 0040237406 scopus 로고
    • On finding the nucleolus of an n-person cooperative game
    • Sankaran, J. K. (1992). On finding the nucleolus of an n-person cooperative game. Int. J. Game Theory 21.
    • (1992) Int. J. Game Theory , vol.21
    • Sankaran, J.K.1
  • 28
    • 0040237401 scopus 로고
    • Research Program in Game Theory and Math. Economics, The Hebrew University of Jerusalem, Israel, RM 23
    • Schmeidler, D. (1966). The nucleolus of a characteristic function game. Research Program in Game Theory and Math. Economics, The Hebrew University of Jerusalem, Israel, RM 23.
    • (1966) The Nucleolus of a Characteristic Function Game
    • Schmeidler, D.1
  • 29
    • 0001255447 scopus 로고
    • A value for n-person games
    • H. Kuhn and A. W. Tucker, eds., Princeton University Press, Princeton, NJ
    • Shapley, L. S. (1953). A value for n-person games. In: H. Kuhn and A. W. Tucker, eds., Contributions to the Theory of Games II, Princeton University Press, Princeton, NJ, 307-317.
    • (1953) Contributions to the Theory of Games , vol.2 , pp. 307-317
    • Shapley, L.S.1
  • 30
    • 0003017732 scopus 로고
    • Simple games: An outline of the descriptive theory
    • _ (1962). Simple games: An outline of the descriptive theory. Behavioral Sci. 7 59-66.
    • (1962) Behavioral Sci. , vol.7 , pp. 59-66
  • 32
    • 0011682748 scopus 로고
    • Homogeneous games as anti step functions
    • _ (1989). Homogeneous games as anti step functions. Int. J. Game Theory 18 433-469.
    • (1989) Int. J. Game Theory , vol.18 , pp. 433-469
  • 33
    • 0039053414 scopus 로고
    • Habilitation Thesis, University of Bielefeld, Germany
    • _ (1993). The modified nucleolus of a cooperative game. Habilitation Thesis, University of Bielefeld, Germany.
    • (1993) The Modified Nucleolus of a Cooperative Game


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.