The 11–20 Money Request Game: A Level-k Reasoning Study
研究了一个新两人游戏，玩家请求11到20谢克尔，若比对方少要1谢克尔则额外得20谢克尔。实验发现几乎所有被试的推理层级不超过三层，且增强初始策略吸引力或降低压价成本均未提高推理深度。
We study experimentally a new two-player game: each player requests an amount between 11 and 20 shekels. He receives the requested amount and if he requests exactly one shekel less than the other player, he receives an additional 20 shekels. Level-k reasoning is appealing due to the natural starting point (requesting 20) and the straightforward best-response operation. Nevertheless, almost all subjects exhibit at most three levels of reasoning. Two variants of the game demonstrate that the depth of reasoning is not increased by enhancing the attractiveness of the level-0 strategy or by reducing the cost of undercutting the other player.