The "early surrender" option allows a player to forfeit half their bet before the dealer checks for blackjack, which can adjust a player's approach by reducing potential losses. By choosing to surrender in specific situations, especially against a strong dealer upcard like an ace or ten, players can minimize losses on hands with low winning probabilities. This option encourages a more strategic approach, as it requires players to assess when surrendering is mathematically beneficial, allowing for improved bankroll management and a more calculated style of play.