There are two regions of interest to be covered. One region is a high-valued region with a value of 10 points. The other region has a value to 2 points. We plan on deploying two vehicles to cover these regions. We set up a game where the vehicles are the players. The actions available to each vehicle are: 1) cover the high-valued region, 2) cover the low- valued regions, and 3) cover neither.

1. What is the Nash equilibrium if the utility of a vehicle is defined as follows: A vehicle's utility is the value of the region it is covers, divided by the number of vehicles covering that region Covering neither region yields 0 points to a vehicle in utility.

2. What is the Nash equilibrium if the utility of a vehicle is defined as follows: A vehicle gets 0 points for a region if another vehicle is covering that region A vehicle's utility is the value of the region it is covers, provided it is the only one Covering neither region yields 0 points to a vehicle in utility.