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A Stackelberg Order Execution Game
2018-06-01 00:00:00

报告题目:

A Stackelberg Order Execution Game

报 告 人:

杜东雷 教授(University of New Brunswick)

报告时间:

2018年06月13日 10:00--11:00

报告地点:

数学院二楼报告厅

报告摘要:

We consider a sequential order execution differential game over a finite time horizon in the Stackelberg duopoly framework, complementing the simultaneous Nash game investigated by Carlin et al. (2007). There are one risk-neutral leader and one risk-neutral follower who maximize their expected trading payoffs respectively by trading the same risky asset whose price dynamic follows the well-known stochastic linear-price market impact model of Bertsimas and Lo (1998 and Almgren and Chriss (2001). We derive a closed-form solution for the unique open-loop Stackelberg equilibrium. We then develop new and complementary managerial insights by looking at the equilibrium behavior in terms of trading rates, positions, price dynamics, first mover's advantage, and trading horizon effect. We also emphasize key differences between our sequential game and the aforementioned simultaneous Nash game along the way.