The previous lecture solved one set of optimal strategies for the continuous ultimatum game. This lecture shows that it is also the ONLY set of optimal strategies. Once again, this lecture is more of technical interest and is designed primarily for viewers in a class on bargaining theory. If you wish to minimize the math, you can skip this lecture.

**Takeaway Points**

- The strategies discussed in the previous lecture represent the only solution.
- From this lecture forward, we will assume that players accept offers when indifferent. This is because we could repeatedly show this to be true using the same mathematical tricks from this lecture. To save time, we will not.