Effects of a red card on goal-scoring in World Cup football matches

摘要

We examine the effect of the sending-off of a player on the goal-scoring rates in FIFA World Cup matches in tournaments from 1998 to 2014. We use a hazard rate framework in which the effect of a red card is modeled as a shift in the goal-scoring rate. A red card may harm the team that receives a red card and may be beneficial for their opponent. Indeed, we find that the goal-scoring rate of the sanctioned team goes down, while the goal-scoring rate of the non-sanctioned team goes up.