The authors characterize both the Israelis and Palestinians, caught in a cycle of violence, as

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The word "intransigent" means unwilling to change one's views or to agree about something. Both Israelis and Palestinians are described as being caught in a cycle of violence, which suggests that they are not willing to change their behavior or attitudes towards each other. Therefore, "intransigent" is the best choice.

The Authors Characterize Both the Israelis and Palestinians, Caught in a Cycle