When describing your decision theory, you say, “Finally, [the agent] outputs a string Y* that maximizes the expected utility Sum P_Y(<E1, E2, E3, …>) U(<E1, E2, E3, …>).”
P_Y and U are both shown to be functions of <E1, E2, E3,...>, not Y*. Could you explain how assigning values to Y* would affect the sum?
When describing your decision theory, you say, “Finally, [the agent] outputs a string Y* that maximizes the expected utility Sum P_Y(<E1, E2, E3, …>) U(<E1, E2, E3, …>).”
P_Y and U are both shown to be functions of <E1, E2, E3,...>, not Y*. Could you explain how assigning values to Y* would affect the sum?