Bondareva–Shapley Theorem - Wikipedia - en.wikipedia.org  ## Metadata - Author: **en.wikipedia.org** - Full Title: Bondareva–Shapley Theorem - Wikipedia - Category: #articles - Tags: #game-theory - URL: https://en.wikipedia.org/wiki/Bondareva%E2%80%93Shapley_theorem ## Highlights - The Bondareva–Shapley theorem, in game theory, describes a necessary and sufficient condition for the non-emptiness of the core of a cooperative game in characteristic function form. Specifically, the game's core is non-empty if and only if the game is balanced. The Bondareva–Shapley theorem implies that market games and convex games have non-empty cores. The theorem was formulated independently by Olga Bondareva and Lloyd Shapley in the 1960s.