🤖 AI Summary
This work addresses the problem of strategic classification, where agents may manipulate decisions through deceptive actions rather than genuine effort. To counter this, the paper proposes a multi-level promotion and demotion framework that employs a sequence of progressively more stringent classifier thresholds to incentivize agents to invest in real, long-term capability improvement instead of short-term manipulation. Departing from existing dynamic classification approaches that focus primarily on weight optimization, this study is the first to systematically analyze how threshold structures and inter-level transitions shape intertemporal incentives. By integrating game-theoretic reasoning with mechanism design, the authors characterize agents’ optimal strategies and identify feasible threshold sequences for the principal. Under mild conditions, the mechanism guarantees that agents can reach arbitrarily high capability levels solely through authentic effort, thereby achieving theoretically unbounded advancement—substantially outperforming conventional static or weight-adjustment strategies.
📝 Abstract
Strategic classification studies the problem where self-interested individuals or agents manipulate their response to obtain favorable decision outcomes made by classifiers, typically turning to dishonest actions when they are less costly than genuine efforts. While existing studies on sequential strategic classification primarily focus on optimizing dynamic classifier weights, we depart from these weight-centric approaches by analyzing the design of classifier thresholds and difficulty progression within a multi-level promotion-relegation framework. Our model captures the critical inter-temporal incentives driven by an agent's farsightedness, skill retention, and a leg-up effect where qualification and attainment can be self-reinforcing. We characterize the agent's optimal long-term strategy and demonstrate that a principal can design a sequence of thresholds to effectively incentivize honest effort. Crucially, we prove that under mild conditions, this mechanism enables agents to reach arbitrarily high levels solely through genuine improvement efforts.