Group 1 - Israel conducted large-scale airstrikes against Houthi-controlled areas in Yemen on June 6, while the U.S. announced it would stop bombing the Houthis, leading to a surprise for Israel [1] - The U.S. and Houthis reached a ceasefire agreement, confirmed by Omani officials, which prohibits mutual attacks and aims to ensure the safety of shipping in the Red Sea and the Bab el-Mandeb Strait [1][2] - The airstrikes by Israel were a response to Houthi missile attacks on Israeli targets, specifically the Ben Gurion Airport, indicating a cycle of retaliation [1] Group 2 - There is a clear divergence in objectives between the U.S. and Israel, with the U.S. focusing on self-defense against Houthi attacks on shipping, while Israel aims to weaken the Houthis as a threat to its security [2] - Analysts suggest that the U.S. recognized that airstrikes had not diminished the Houthis' capabilities and may have even encouraged more aggressive responses from them, influencing the decision to cease hostilities [2] - The U.S. military operations against the Houthis have incurred significant costs, with over $750 million spent on munitions since March 15, excluding the costs of deploying two aircraft carrier strike groups [3][4]