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ナッシュ均衡×Vickrey-Clarke-Groves (VCG) メカニズム×
分野ゲーム理論ゲーム理論
系統Machine learningMachine learning
提唱年19501961
提唱者John NashWilliam Vickrey, Edward Clarke, Theodore Groves
種類algorithmalgorithm
原典Nash, J. F. (1950). Equilibrium points in N-person games. Proceedings of the National Academy of Sciences, 36(1), 48-49. DOI ↗Vickrey, W. (1961). Counterspeculation, auctions, and competitive sealed bids. The Journal of Finance, 16(1), 8-37. DOI ↗
別名Lemke-Howson Equilibrium, Completely Labeled PairVickrey Mechanism, Generalized Vickrey Auction, Truthful Mechanism
関連44
概要Nash Equilibrium is a game-theoretic solution concept where no player can unilaterally deviate to improve their payoff. Formalized by John Nash in 1950, the Lemke-Howson algorithm computationally finds equilibria in bimatrix games by identifying completely labeled vertex pairs in the strategy polytopes.The Vickrey-Clarke-Groves (VCG) Mechanism is a truthful mechanism design solution that allocates resources and determines payments to incentivize participants to reveal their true valuations. Building on William Vickrey's 1961 sealed-bid auction work and extended by Clarke and Groves, VCG ensures that reporting truth is a dominant strategy for all participants, achieving allocative efficiency while maximizing total surplus.
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ScholarGate手法を比較: Nash Equilibrium · VCG Mechanism. 2026-06-19に以下より取得 https://scholargate.app/ja/compare