In the accomplice manipulation game, a pure-strategy Nash equilibrium always exists, can be found in polynomial time, and the constructed equilibrium yields a stable matching.
Partners in Crime: Manipulating the Deferred Acceptance Algorithm through an Accomplice
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Two-Sided Manipulation Games in Stable Matching Markets
In the accomplice manipulation game, a pure-strategy Nash equilibrium always exists, can be found in polynomial time, and the constructed equilibrium yields a stable matching.