Gamma measures the change in delta. Gamma becomes larger as the changes in stock price increase in absolute value. Gamma hedging requires less frequent rebalancing than delta hedging. Less frequent rebalancing in a gamma hedge can result in higher returns but also increases the position’s volatility.
Gamma-neutral hedging is designed to mitigate the effect of large changes in asset prices on delta-neutral positions that are designed to protect against small changes in asset prices.