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Solution in cooperative games
In cooperative game theory, the nucleolus of a cooperative game is the solution (i.e., allocation of payments to players) that maximizes the smallest excess
Nucleolus_(game_theory)
Game where groups of players may enforce cooperative behaviour
The resulting payoff vector is the nucleolus. Although the definition does not explicitly state it, the nucleolus is always unique. (See Section II.7
Cooperative_game_theory
cooperative game theory can be applied. MCST games were introduced by Bird in 1976. The core of every MCST game is non-empty. The nucleolus is the unique
Minimum-cost spanning tree game
Minimum-cost_spanning_tree_game
Concept in game theory
constraints of the core. Schmeidler's Nucleolus cannot be calculated when the core is null. However, Schmeidler's Nucleolus is calculated by assuming that there
Imputation_(game_theory)
Israeli mathematician (1927-2008)
Interaction "The Bargaining Set, Kernel and Nucleolus", 1992, in Aumann and Hart, editors, Handbook of Game Theory Repeated Games with Incomplete Information
Michael_Maschler
Israeli mathematician (1939–2022)
contributions were in game theory and general equilibrium theory. He suggested a new approach to solving cooperative games – the nucleolus – based on equity
David_Schmeidler
Indian-American mathematician (born 1940)
240–256. doi:10.1006/game.1993.1014. Solymosi, Tamas; Raghavan, Tirukkannamangai E. S. (1994). "An algorithm for finding the nucleolus of assignment games"
T._E._S._Raghavan
Type of multi-objective optimization
objective, then the second-smallest objective, and so on. In game theory, the nucleolus is defined as a lexicographically-minimal solution set. Sherali
Lexicographic_optimization
Optimization method
computing the nucleolus of a cooperative game. An early application of lexmaxmin was presented by Melvin Dresher in his book on game theory, in the context
Lexicographic max-min optimization
Lexicographic_max-min_optimization
American mathematician (1923–2016)
kernel and the nucleolus, and his work with Robert Aumann on non-atomic games and on long-term competition have all appeared in economic theory. Shapley argued
Lloyd_Shapley
Topics referred to by the same term
British national archive Nuclear (disambiguation) Nucleation Nucleic acid Nucleolus Core (disambiguation) This disambiguation page lists articles associated
Nucleus
Comparison between vectors
ISSN 0377-2217. Potters, Jos A. M.; Tijs, Stef H. (1992-02-01). "The Nucleolus of a Matrix Game and Other Nucleoli". Mathematics of Operations Research. 17 (1):
Leximin_order
Soviet and Russian mathematician and economist
to Game Theory and Management, 1 (2007), 504–523 Elena B. Yanovskaya, “The Nucleolus and the τ-value of Interval Games”, Contributions to Game Theory and
Elena_Yanovskaya
Jewish bankruptcy guidance
by CG. The CG rule can be derived independently, as the nucleolus of a certain cooperative game defined based on the claims. Sertel considers a special
Contested_garment_rule
Problem in mathematical sociology
(1995-01-01). "Strategic bargaining, surplus sharing problems and the nucleolus". Journal of Mathematical Economics. 24 (4): 319–329. doi:10.1016/0304-4068(94)00696-8
Strategic_bankruptcy_problem
Type of electrical grid
so-called E-Energy projects several German utilities are creating first nucleolus in six independent model regions. A technology competition identified
Smart_grid
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