메뉴 건너뛰기




Volumn 17, Issue , 2008, Pages 159-185

Algorithmic cooperative game theory

Author keywords

Computational complexity; Cooperative game; Core; Linear program; LP duality; NP hard; Nucleolus

Indexed keywords


EID: 84976508848     PISSN: 19316828     EISSN: 19316836     Source Type: Book Series    
DOI: 10.1007/978-0-387-77247-9_7     Document Type: Chapter
Times cited : (31)

References (73)
  • 1
    • 0002271922 scopus 로고
    • Game Theoretic Analysis of a Bankruptcy Problem from the Talmud
    • Aumann, R. J., Maschler, M.: Game Theoretic Analysis of a Bankruptcy Problem from the Talmud. Journal of Economic Theory, 36, 195-396 (1985).
    • (1985) Journal of Economic Theory , vol.36 , pp. 195-396
    • Aumann, R.J.1    Maschler, M.2
  • 2
    • 84981618294 scopus 로고
    • Cost-Allocation for a Spanning Tree
    • Bird, C. G.: Cost-Allocation for a Spanning Tree. Networks, 6, 335-350 (1976).
    • (1976) Networks , vol.6 , pp. 335-350
    • Bird, C.G.1
  • 3
    • 0001250954 scopus 로고
    • Some Applications of Linear Programming Methods to the Theory of Cooperative Games
    • Bondareva, O. N.: Some Applications of Linear Programming Methods to the Theory of Cooperative Games. Problemy Kibernetiki, 10, 119-139 (1963).
    • (1963) Problemy Kibernetiki , vol.10 , pp. 119-139
    • Bondareva, O.N.1
  • 5
    • 4243728521 scopus 로고
    • Rational Behavior and Computational Complexity
    • School of Computer Science, McGill University, Montreal
    • Chvátal, V.: Rational Behavior and Computational Complexity. Technical Report SOCS-78. 9, School of Computer Science, McGill University, Montreal (1978).
    • (1978) Technical Report SOCS-78 , vol.9
    • Chvátal, V.1
  • 6
    • 0039767974 scopus 로고
    • Game Theory Application to Cost Allocation for a Spanning Tree
    • Faculty of Commerce and Business Administration, University of British Columbia, June
    • Claus, A., Granot, D.: Game Theory Application to Cost Allocation for a Spanning Tree. Working Paper No 402, Faculty of Commerce and Business Administration, University of British Columbia, June (1976).
    • (1976) Working Paper No , vol.402
    • Claus, A.1    Granot, D.2
  • 7
    • 0015729034 scopus 로고
    • Cost Allocation for a Spanning Tree
    • Claus, A., Kleitman, D. J.: Cost Allocation for a Spanning Tree. Networks, 3, 289-304 (1973).
    • (1973) Networks , vol.3 , pp. 289-304
    • Claus, A.1    Kleitman, D.J.2
  • 10
    • 0347261630 scopus 로고
    • PhD Thesis, Department of Operations Research, Stanford University, California
    • Deng, X.: Mathematical Programming: Complexity and Algorithms. PhD Thesis, Department of Operations Research, Stanford University, California (1989).
    • (1989) Mathematical Programming: Complexity and Algorithms
    • Deng, X.1
  • 12
    • 0033358883 scopus 로고    scopus 로고
    • Algorithmic Aspects of the Core of Combinatorial Optimization Games
    • Deng, X., Ibaraki, T., Nagamochi, H.: Algorithmic Aspects of the Core of Combinatorial Optimization Games. Mathematics of Operations Research, 24, 751-766 (1999).
    • (1999) Mathematics of Operations Research , vol.24 , pp. 751-766
    • Deng, X.1    Ibaraki, T.2    Nagamochi, H.3
  • 14
  • 16
    • 0021478938 scopus 로고
    • Totally Balanced Games Arising from Controlled Programming Problems
    • Dubey, P., Shapley, L. S.: Totally Balanced Games Arising from Controlled Programming Problems. Mathematical Programming, 29, 245-267 (1984).
    • (1984) Mathematical Programming , vol.29 , pp. 245-267
    • Dubey, P.1    Shapley, L.S.2
  • 18
  • 19
    • 0032221794 scopus 로고    scopus 로고
    • Computing the Nucleolus of Min-Cost Spanning Tree Games is NP-Hard
    • Faigle, U., Kern, W., Kuipers, J.: Computing the Nucleolus of Min-Cost Spanning Tree Games is NP-Hard. International Journal of Game Theory, 27, 443-450 (1998).
    • (1998) International Journal of Game Theory , vol.27 , pp. 443-450
    • Faigle, U.1    Kern, W.2    Kuipers, J.3
  • 20
  • 22
    • 0042903195 scopus 로고    scopus 로고
    • On Some Approximately Balanced Combinatorial Cooperative Games
    • Faigle, U., Kern, W.: On Some Approximately Balanced Combinatorial Cooperative Games. ZOR Methods and Models of Operations Research, 38, 141-152 (1998).
    • (1998) ZOR Methods and Models of Operations Research , vol.38 , pp. 141-152
    • Faigle, U.1    Kern, W.2
  • 23
  • 24
    • 0036745726 scopus 로고    scopus 로고
    • On Computational Complexity of Membership Test in Flow Games and Linear Production Games
    • Fang, Q., Zhu, S., Cai, M., Deng, X.: On Computational Complexity of Membership Test in Flow Games and Linear Production Games. International Journal of Game Theory, 31, 39-45 (2002).
    • (2002) International Journal of Game Theory , vol.31 , pp. 39-45
    • Fang, Q.1    Zhu, S.2    Cai, M.3    Deng, X.4
  • 25
    • 84867926570 scopus 로고    scopus 로고
    • Total Balancedness Condition for Steiner Tree Games
    • Fang, Q., Cai, M., Deng, X.: Total Balancedness Condition for Steiner Tree Games. Discrete Applied Mathematics, 127, 555-563 (2003).
    • (2003) Discrete Applied Mathematics , vol.127 , pp. 555-563
    • Fang, Q.1    Cai, M.2    Deng, X.3
  • 27
    • 0018925214 scopus 로고
    • Applications of Efficiently Mergeable Heaps for Optimization Problems on Trees
    • Galil, Z.: Applications of Efficiently Mergeable Heaps for Optimization Problems on Trees. Acta Informatica, 13, 53-58 (1980).
    • (1980) Acta Informatica , vol.13 , pp. 53-58
    • Galil, Z.1
  • 28
    • 0002324262 scopus 로고
    • Solutions to General Nonzero Sum Games
    • Gillies, D.: Solutions to General Nonzero Sum Games. Annals of Mathematical Studies, 40, 47-85 (1959).
    • (1959) Annals of Mathematical Studies , vol.40 , pp. 47-85
    • Gillies, D.1
  • 29
    • 1442313867 scopus 로고    scopus 로고
    • Cooperative Facility Location Games
    • Goemans, M. X., Skutella, M.: Cooperative Facility Location Games. Journal of Algorithms, 50, 194-214 (2004).
    • (2004) Journal of Algorithms , vol.50 , pp. 194-214
    • Goemans, M.X.1    Skutella, M.2
  • 30
    • 0347280405 scopus 로고
    • A Note on the Roommate Problem and a Related Revenue Allocation Problem
    • Granot, D.: A Note on the Roommate Problem and a Related Revenue Allocation Problem. Management Science, 30, 633-643 (1984).
    • (1984) Management Science , vol.30 , pp. 633-643
    • Granot, D.1
  • 31
    • 0022680467 scopus 로고
    • A Generalized Linear Production Model: A Unified Model
    • Granot, D.: A Generalized Linear Production Model: A Unified Model. Mathematical Programming, 34, 212-222 (1986).
    • (1986) Mathematical Programming , vol.34 , pp. 212-222
    • Granot, D.1
  • 32
    • 0001072138 scopus 로고
    • Computational Complexity of a Cost Allocation Approach to a Fixed Cost Spanning Forest Problem
    • Granot, D., Granot, F.: Computational Complexity of a Cost Allocation Approach to a Fixed Cost Spanning Forest Problem. Mathematics of Operations Research, 17, 765-780 (1992).
    • (1992) Mathematics of Operations Research , vol.17 , pp. 765-780
    • Granot, D.1    Granot, F.2
  • 34
    • 0021481985 scopus 로고
    • On the Core and Nucleolus of Minimum Cost Spanning Tree Games
    • Granot, D., Huberman, G.: On the Core and Nucleolus of Minimum Cost Spanning Tree Games. Mathematical Programming, 29, 323-347 (1984).
    • (1984) Mathematical Programming , vol.29 , pp. 323-347
    • Granot, D.1    Huberman, G.2
  • 38
    • 21844483549 scopus 로고
    • Computing the Nucleolus when the Characteristic Function is Given Implicitly: A Constraint Generation Approach
    • Hallefjord, Å., Helming, R., Jornsten, K.: Computing the Nucleolus when the Characteristic Function is Given Implicitly: A Constraint Generation Approach. International Journal of Game Theory, 24, 357-372 (1995).
    • (1995) International Journal of Game Theory , vol.24 , pp. 357-372
    • Hallefjord, Å.1    Helming, R.2    Jornsten, K.3
  • 41
    • 0020182927 scopus 로고
    • Generalized Network Problems Yielding Totally Balanced Games
    • Kalai, E., Zemel, E.: Generalized Network Problems Yielding Totally Balanced Games. Operations Research, 30, 998-1008 (1982).
    • (1982) Operations Research , vol.30 , pp. 998-1008
    • Kalai, E.1    Zemel, E.2
  • 42
    • 0038386374 scopus 로고    scopus 로고
    • Matching Games: The Least Core and the Nucleolus
    • Kern, W., Paulusma, D.: Matching Games: The Least Core and the Nucleolus. Mathematics of Operation Research, 28, 294-308 (2003).
    • (2003) Mathematics of Operation Research , vol.28 , pp. 294-308
    • Kern, W.1    Paulusma, D.2
  • 43
    • 0005331249 scopus 로고
    • Solving Covering Problems and the Uncapacitated Plant Location Problem on Trees
    • Kolen, A. J. W.: Solving Covering Problems and the Uncapacitated Plant Location Problem on Trees. European Journal of Operational Research, 12, 266-278 (1983).
    • (1983) European Journal of Operational Research , vol.12 , pp. 266-278
    • Kolen, A.J.W.1
  • 47
    • 0042999993 scopus 로고
    • AnApplicationofGameTheory: CostAllocation
    • Lemaire, J.: AnApplicationofGameTheory: CostAllocation. ASTINBulletin, 14, 61-81 (1984).
    • (1984) ASTINBulletin , vol.14 , pp. 61-81
    • Lemaire, J.1
  • 48
    • 0002796762 scopus 로고
    • A Simple Epression for the Nucleolus in a Special Case
    • Littlechild, S. C.: A Simple Epression for the Nucleolus in a Special Case. International Journal of Game Theory, 3, 21-29 (1974).
    • (1974) International Journal of Game Theory , vol.3 , pp. 21-29
    • Littlechild, S.C.1
  • 49
    • 84976506009 scopus 로고    scopus 로고
    • Feature Column, Monthly Essays on Mathematical Topics, AMS, March
    • Malkevitch, J.: Resolving Bankruptcy Claims. Feature Column, Monthly Essays on Mathematical Topics, AMS, March (2005). Available at: http://www. ams. org/featurecolumn/index. html.
    • (2005) Resolving Bankruptcy Claims
    • Malkevitch, J.1
  • 50
    • 0000928347 scopus 로고
    • Computational Complexity and the Game Theory Approach to Cost Allocation for a Tree
    • Megiddo, N.: Computational Complexity and the Game Theory Approach to Cost Allocation for a Tree. Mathematics of Operations Research, 3, 189-196 (1978).
    • (1978) Mathematics of Operations Research , vol.3 , pp. 189-196
    • Megiddo, N.1
  • 51
    • 0017938032 scopus 로고
    • Cost Allocation for Steiner Trees
    • Megiddo, N.: Cost Allocation for Steiner Trees. Networks, 8, 1-6 (1978).
    • (1978) Networks , vol.8 , pp. 1-6
    • Megiddo, N.1
  • 52
    • 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, 303-338 (1979).
    • (1979) Mathematics of Operations Research , vol.4 , pp. 303-338
    • Maschler, M.1    Peleg, B.2    Shapley, L.S.3
  • 54
    • 0000614213 scopus 로고
    • Bounded Complexity Justifies Cooperation in the Finitely Repeated Prisoner's Dilemma
    • Neyman, A.: Bounded Complexity Justifies Cooperation in the Finitely Repeated Prisoner's Dilemma. Economics Letters, 19, 227-229 (1985).
    • (1985) Economics Letters , vol.19 , pp. 227-229
    • Neyman, A.1
  • 56
    • 0016594972 scopus 로고
    • On the Core of Linear Production Games
    • Owen, G.: On the Core of Linear Production Games. Mathematical Programming, 9, 358-370 (1975).
    • (1975) Mathematical Programming , vol.9 , pp. 358-370
    • Owen, G.1
  • 61
    • 0001202536 scopus 로고
    • The Nucleolus of a Characteristic Function Game
    • Schmeidler, D.: The Nucleolus of a Characteristic Function Game. SIAM Journal of Applied Mathematics, 17, 1163-1170 (1969).
    • (1969) SIAM Journal of Applied Mathematics , vol.17 , pp. 1163-1170
    • Schmeidler, D.1
  • 64
    • 0001383874 scopus 로고
    • Quasi-Cores in a Monetary Economy with Nonconvex Preference
    • Shapley, L., Shubik, M.: Quasi-Cores in a Monetary Economy with Nonconvex Preference. Econometrica, 34, 805-827 (1966).
    • (1966) Econometrica , vol.34 , pp. 805-827
    • Shapley, L.1    Shubik, M.2
  • 65
    • 0042962250 scopus 로고
    • Arrow, Intriligator (eds) Handbook of Mathematical Economics, North-Holland, New York
    • Shubik, M.: Game Theory Models and Methods in Political Economy. In Arrow, Intriligator (eds) Handbook of Mathematical Economics, Vol. I, 285-330. North-Holland, New York (1981).
    • (1981) Game Theory Models and Methods in Political Economy , vol.1 , pp. 285-330
    • Shubik, M.1
  • 66
    • 0000597948 scopus 로고
    • Theories of Bounded Rationality
    • Radner, C., Radner, R. (eds.), Amsterdam: North-Holland
    • Simon, H. A.: Theories of Bounded Rationality. In: Radner, C., Radner, R. (eds.) Decision and Organization. Amsterdam: North-Holland. 161-176 (1972).
    • (1972) Decision and Organization , pp. 161-176
    • Simon, H.A.1
  • 68
    • 0027549850 scopus 로고
    • On the Core of Cost Allocation Games Defined on Location Problems
    • Tamir, A.: On the Core of Cost Allocation Games Defined on Location Problems. Transportation Science, 27, 81-86 (1992).
    • (1992) Transportation Science , vol.27 , pp. 81-86
    • Tamir, A.1
  • 69
    • 0026119288 scopus 로고
    • On the Core of Network Synthesis Games
    • Tamir, A.: On the Core of Network Synthesis Games. Mathematical Programming, 50, 123-135 (1991).
    • (1991) Mathematical Programming , vol.50 , pp. 123-135
    • Tamir, A.1
  • 70
    • 0024607362 scopus 로고
    • On the Core of a Traveling Salesman Cost Allocation Game
    • Tamir, A.: On the Core of a Traveling Salesman Cost Allocation Game. Operations Research Letters, 8, 31-34 (1989).
    • (1989) Operations Research Letters , vol.8 , pp. 31-34
    • Tamir, A.1
  • 71
    • 0007070646 scopus 로고    scopus 로고
    • A Maximum b-Matching Problem Arising from Median Location Models with Applications to the Roommate Problem
    • Tamir, A., Mitchell, J. S. B.: A Maximum b-Matching Problem Arising from Median Location Models with Applications to the Roommate Problem. Mathematical Programming, 80, 171-194 (1998).
    • (1998) Mathematical Programming , vol.80 , pp. 171-194
    • Tamir, A.1    Mitchell, J.S.B.2
  • 72
    • 38249038949 scopus 로고
    • Extensions of Solution Concepts by Means of Multiplicative ε-Tax Games
    • Tijs, S., Driessen, T.: Extensions of Solution Concepts by Means of Multiplicative ε-Tax Games. Mathematical Social Sciences, 12, 9-20 (1986).
    • (1986) Mathematical Social Sciences , vol.12 , pp. 9-20
    • Tijs, S.1    Driessen, T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.