Joy Needs to Clean the House Before Her Parents Come $v_{t}=\{10,0,0\}$

Essay

Joy needs to clean the house before her parents come on Sunday. Today is Friday. This means Joy can clean either Friday, Saturday or Sunday. The reward for cleaning the house is that Joy gets to enjoy a clean home, but the cost is that she will have to give up planned activities with her friends. Let $v_{t}=\{10,0,0\}$ be the reward for cleaning the house on Friday, Saturday, Sunday, respectively. Let $c_{t}=\{0,2,1\}$ be the cost of cleaning the house on Friday, Saturday, Sunday, respectively. Suppose her parents call and inform Joy that they are coming home on Saturday as opposed to Sunday. Does this change Joy's optimal action if she is time consistent and why?