a situation I could be in that would be improved by me
shooting at the police
Two situations:
1) a situation where you believe there's a reasonably chance the police are going to shoot you and cover it up. Shooting them keeps you alive.
2) you have committed a minor crime, for which the sentence is sufficiently harsh that you are willing to add murder to the crime to prevent being sentenced. If a cop attempts to apprehend you and you shoot him, your situation is improved in that you are not apprehended and may not have to go to jail at all. Ratios of punishments for different crimes matter as well as the absolute value.
2) you have committed a minor crime, for which the sentence is sufficiently harsh that you are willing to add murder to the crime to prevent being sentenced. If a cop attempts to apprehend you and you shoot him, your situation is improved in that you are not apprehended and may not have to go to jail at all. Ratios of punishments for different crimes matter as well as the absolute value.