This post will ignore the financial cost of the system to the GAA. Instead, it will focus on other costs involved in the decision-making system. Hawk-Eye demonstrates cost minimisation and trade-offs by balancing two competing costs: delaying the game and making an incorrect decision. Reviews pause play, but avoiding reviews increases the risk of wrong decisions. The optimisation challenge is finding the balance that minimises the combined cost of these two outcomes.
At one extreme, imagine Hawk-Eye reviewed every shot, incorrect decisions would become rare, but constant interruptions would slow the game, disrupt momentum, frustrate spectators and increase operating costs. In this situation, the cost of incorrect decisions is very low, but the cost of delay becomes extremely high.
At the opposite extreme, imagine Hawk-Eye was never used or not available. The game would continue without interruptions, making the cost of delay almost zero. However, the likelihood of incorrect decisions would increase, particularly in close calls where it is difficult for umpires to judge accurately. A wrongly awarded or disallowed point could affect the result of a match, leading to frustration for all. The cost of delay is minimised, but the cost of incorrect decisions becomes very high.
The benefits of using Hawk-Eye also depend on the score margin during the game. If one team leads by 20 points, one incorrect score is unlikely to affect the result, so the benefit of a review may be lower than the cost of delaying play. However, if the teams are level or separated by only one point, the value of making the correct decision is much greater. A single point could decide the winner, meaning the cost of an incorrect decision is much higher.
Timing also affects the trade-off. Early in a match, teams have more time to recover from an incorrect decision. Near the end, however, a single point may decide the result, making the benefit of a review greater than the cost of a short delay. This demonstrates the economic principle of trade-offs, where the best decision is the one that minimises the total decision-making costs rather than eliminating only one type of cost.
(Shona is a second year student of economics in UCC.)
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