Diane's Diamond Depot and Sean's Sock Shop are the only two stores in a small shopping center sharing a parking lot. The owner's are considering hiring a shared overnight security guard to patrol the parking lot. Assume the presence of a security guard in the parking lot will deter criminal activity to either store.

Diane has very valuable inventory, and is very afraid of a break-in so she is willing to pay $700 per week for a security guard. Sean doesn't have as valuable of inventory, but is still concerned with break-ins or vandalism and is willing to pay $300 per week for a security guard.

The cost to hire a security guard to patrol the lot is $800 per week.

(a) Explain why the security guard can be considered a public good when we are only considering the two store owners as the economy. Your answer should include the two characteristics of public goods.

(b) If they are going to hire a security guard, how would you suggest the $800 per week is divided? Explain your answer. (Both tenants need to agree to this to make it happen)

(c) Explain how both tenants have incentive to lie about how much they are willing to pay for a security guard and how this could lead to an inecient outcome.