메뉴 건너뛰기




Volumn 7434 LNCS, Issue , 2012, Pages 568-579

Computing shapley value in supermodular coalitional games

Author keywords

[No Author keywords available]

Indexed keywords

COALITIONAL GAME; CONVEX GAME; DETERMINISTIC ALGORITHMS; FAIR ALLOCATION; MARGINAL CONTRIBUTION; MONOTONICITY; POLYNOMIAL-TIME; RANDOMIZED ALGORITHMS; RANDOMIZED APPROXIMATION SCHEMES; SHAPLEY VALUE; SOLUTION CONCEPTS; SUPERMODULAR; SUPERMODULAR GAMES; SUPERMODULARITY;

EID: 84865632995     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-642-32241-9_48     Document Type: Conference Paper
Times cited : (47)

References (39)
  • 4
    • 0000265025 scopus 로고
    • Weighted voting doesn't work: A mathematical analysis
    • Banzhaf, J.F.: Weighted voting doesn't work: A mathematical analysis. Rutgers Law Review 19, 317-343 (1965)
    • (1965) Rutgers Law Review , vol.19 , pp. 317-343
    • Banzhaf, J.F.1
  • 6
    • 84936824655 scopus 로고
    • Power and centrality: A family of measures
    • Bonacich, P.: Power and centrality: A family of measures. American Journal of Sociology 92(5), 1170-1182 (1987)
    • (1987) American Journal of Sociology , vol.92 , Issue.5 , pp. 1170-1182
    • Bonacich, P.1
  • 7
    • 0038589165 scopus 로고    scopus 로고
    • The anatomy of a large-scale hypertextual Web search engine
    • Brin, S., Page, L.: The anatomy of a large-scale hypertextual Web search engine. Computer Networks and ISDN Systems 30(1-7), 107-117 (1998)
    • (1998) Computer Networks and ISDN Systems , vol.30 , Issue.1-7 , pp. 107-117
    • Brin, S.1    Page, L.2
  • 12
    • 0000138929 scopus 로고
    • On the complexity of cooperative solution concepts
    • Deng, X., Papadimitriou, C.: On the complexity of cooperative solution concepts. Mathematics of Operations Research 19(2), 257-266 (1994)
    • (1994) Mathematics of Operations Research , vol.19 , Issue.2 , pp. 257-266
    • Deng, X.1    Papadimitriou, C.2
  • 14
    • 47649117256 scopus 로고    scopus 로고
    • A linear approximation method for the Shapley value
    • Fatima, S.S., Wooldridge, M., Jennings, N.R.: A linear approximation method for the Shapley value. Artificial Intelligence 172(14), 1673-1699 (2008)
    • (2008) Artificial Intelligence , vol.172 , Issue.14 , pp. 1673-1699
    • Fatima, S.S.1    Wooldridge, M.2    Jennings, N.R.3
  • 16
    • 77953326401 scopus 로고    scopus 로고
    • The measurement of voting power: Theory and practice, problems and paradoxes
    • Felsenthal, D., Machover, M.: The measurement of voting power: Theory and practice, problems and paradoxes. Public Choice 102(3-4), 373-376 (2000)
    • (2000) Public Choice , vol.102 , Issue.3-4 , pp. 373-376
    • Felsenthal, D.1    Machover, M.2
  • 20
    • 0033706889 scopus 로고    scopus 로고
    • A combinatorial, strongly polynomial-time algorithm for minimizing submodular functions
    • Iwata, S., Fleischer, L., Fujishige, S.: A combinatorial, strongly polynomial-time algorithm for minimizing submodular functions. In: Proc. 32nd Symposium on Theory of Computing, pp. 97-106 (2000)
    • (2000) Proc. 32nd Symposium on Theory of Computing , pp. 97-106
    • Iwata, S.1    Fleischer, L.2    Fujishige, S.3
  • 22
    • 0002827622 scopus 로고
    • A new status index derived from sociometric analysis
    • Katz, L.: A new status index derived from sociometric analysis. Psychometrika 18(1), 39-43 (1953)
    • (1953) Psychometrika , vol.18 , Issue.1 , pp. 39-43
    • Katz, L.1
  • 24
    • 0036522729 scopus 로고    scopus 로고
    • An empirical comparison of the performance of classical power indices
    • Leech, D.: An empirical comparison of the performance of classical power indices. Political Studies 50(1), 1-22 (2002)
    • (2002) Political Studies , vol.50 , Issue.1 , pp. 1-22
    • Leech, D.1
  • 27
    • 0001443849 scopus 로고
    • Geometric properties of the kernel, nucleolus, and related solution concepts
    • Maschler, M., Peleg, B., Shapley, L.S.: Geometric properties of the kernel, nucleolus, and related solution concepts. Mathematics of Operations Research 4(4), 303-338 (1979)
    • (1979) Mathematics of Operations Research , vol.4 , Issue.4 , pp. 303-338
    • Maschler, M.1    Peleg, B.2    Shapley, L.S.3
  • 28
    • 0034147462 scopus 로고    scopus 로고
    • A survey of algorithms for calculating power indices of weighted majority games
    • Matsui, Y., Matsui, T.: A survey of algorithms for calculating power indices of weighted majority games. Journal of the Operations Research Society of Japan 43(1), 71-86 (2000)
    • (2000) Journal of the Operations Research Society of Japan , vol.43 , Issue.1 , pp. 71-86
    • Matsui, Y.1    Matsui, T.2
  • 29
    • 0034927534 scopus 로고    scopus 로고
    • NP-completeness for calculating power indices of weighted majority games
    • Matsui, Y., Matsui, T.: NP-completeness for calculating power indices of weighted majority games. Theoretical Computer Science 263(1-2), 305-310 (2001)
    • (2001) Theoretical Computer Science , vol.263 , Issue.1-2 , pp. 305-310
    • Matsui, Y.1    Matsui, T.2
  • 31
    • 0000338636 scopus 로고
    • A problem of rights arbitration from the Talmud
    • O'Neill, B.: A problem of rights arbitration from the Talmud. Mathematical Social Sciences 2(4), 345-371 (1982)
    • (1982) Mathematical Social Sciences , vol.2 , Issue.4 , pp. 345-371
    • O'Neill, B.1
  • 32
    • 0034311821 scopus 로고    scopus 로고
    • A combinatorial algorithm minimizing submodular functions in strongly polynomial time
    • Schrijver, A.: A combinatorial algorithm minimizing submodular functions in strongly polynomial time. Journal of Combinatorial Theory B 80, 346-355 (2000)
    • (2000) Journal of Combinatorial Theory B , vol.80 , pp. 346-355
    • Schrijver, A.1
  • 34
    • 77955889446 scopus 로고    scopus 로고
    • Sharing supermodular costs
    • Schulz, A.S., Uhan, N.A.: Sharing supermodular costs. Operations Research 58(4), 1051-1056 (2010)
    • (2010) Operations Research , vol.58 , Issue.4 , pp. 1051-1056
    • Schulz, A.S.1    Uhan, N.A.2
  • 35
    • 0001255447 scopus 로고
    • A value for n-person games
    • Kuhn, H., Tucker, A.W. (eds.) Princeton University Press
    • Shapley, L.S.: A value for n-person games. In: Kuhn, H., Tucker, A.W. (eds.) Contributions to the Theory of Games II, pp. 307-317. Princeton University Press (1953)
    • (1953) Contributions to the Theory of Games II , pp. 307-317
    • Shapley, L.S.1
  • 37
    • 0000320804 scopus 로고
    • On the core of an economic system with externalities
    • Shapley, L.S., Shubik, M.: On the core of an economic system with externalities. American Economic Review 59, 678-684 (1969)
    • (1969) American Economic Review , vol.59 , pp. 678-684
    • Shapley, L.S.1    Shubik, M.2
  • 38
    • 0000348040 scopus 로고
    • Minimizing a submodular function on a lattice
    • Topkis, D.M.: Minimizing a submodular function on a lattice. Operations Research 26(2), 305-321 (1978)
    • (1978) Operations Research , vol.26 , Issue.2 , pp. 305-321
    • Topkis, D.M.1
  • 39


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.