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arXiv 2602.02487cs.GT
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递延彩票分配:实用的激励相容选秀机制

Carry-Over Lottery Allocation: Practical Incentive-Compatible Drafts

La Salle University(拉萨尔大学)

Timothy Highley, Tannah Duncan, Ilia Volkov

AI总结:

本文提出一种实用且激励相容的选秀机制,通过递延彩票分配框架改变团队质量评估方式,使非季后赛队伍获得相同彩票数量,消除输球动机,同时通过彩票累积机制保持激励相容性。

摘要:

NBA选秀可以激励球队故意输球。我们提出一种实用、激励相容且有利于弱队的选秀机制。递延彩票分配(COLA)框架代表了评估球队质量的范式转变,用多赛季季后赛表现替代单一赛季排名。在我们提出的机制中,每支非季后赛球队获得相同数量的彩票,消除输球动机。彩票会延续到未来的选秀,但季后赛成功或赢得顶级选秀权会减少球队累积的彩票数量。彩票机制熟悉且保持球迷参与度。实施挑战被解决以证明可行性,包括转向COLA、处理交易以及适应不同强度的选秀轮次。对于特别强的选秀轮次,球队可能更倾向于彩票而非季后赛。我们提供了解决方案,采用真相获取机制来识别此类年份,并扩展彩票资格以包括尽可能多的季后赛球队,以保持激励相容性。

英文摘要:

The NBA draft can incentivize teams to deliberately lose. We propose a draft mechanism that is practical, incentive-compatible, and favors weaker teams. The Carry-Over Lottery Allocation (COLA) framework represents a paradigm shift in evaluating team quality, replacing single season standings with multi-year playoff outcomes. In our proposed mechanism, every non-playoff team receives the same number of lottery tickets, removing incentives to lose. Lottery tickets carry over to future lotteries, but playoff success or winning a top pick diminishes a team's accumulated tickets. The lottery is familiar and preserves fan engagement. Implementation challenges are addressed to demonstrate feasibility, including transitioning to COLA, handling trades, and accommodating draft classes of varying strength. For exceptionally strong classes, teams may prefer the lottery to the playoffs. We provide a solution, employing a truth-elicitation mechanism to identify such years and expanding lottery eligibility to include as many playoff teams as necessary to preserve incentive compatibility.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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