The endgame

• 成果类型: Article
• 署名作者: Banerjee, Anurag N.; Markovich, Sarit; Seccia, Giulio
• 署名单位: Durham University; Nazarbayev University; Northwestern University; Nazarbayev University
• 刊物名称: GAMES AND ECONOMIC BEHAVIOR
• ISSN/ISSBN: 0899-8256
• DOI: 10.1016/j.geb.2019.08.010
• 发表日期: 2019
• 页码: 176-192
• 关键词: Stochastic games; INFORMATION; Conflict resolution

摘要

On December 1st, 2009 President Obama announced that the U.S. troops would have started leaving Afghanistan on July 2011. Rather than simply waiting the U.S. troops out, the Taliban forces responded with a spike in attacks followed by a decline as the withdrawal date approached. These, at first, counter-intuitive phenomena, are addressed by studying a two-player, zero-sum game where the duration of the strategic interaction is either known or unknown (i.e., the game can stop at any time with positive probability). We find that, conditional on the players' relative position, players' equilibrium strategies are non-stationary in a known duration game but they are stationary in the unknown duration case. Hence, introducing uncertainty, no matter how small, changes players' optimal behavior qualitatively and discontinuously: qualitatively because their behavior becomes stationary; discontinuously because the equilibrium is stationary only as far as the continuation probability is bounded away from 1. (C) 2019 Elsevier Inc. All rights reserved.