We don’t have a game yet, only the description of a problem.

The most important assumption, used in Section 15.4, is that the daughters are so close to each other that they can estimate the value of each item to their sister. The more complicated incomplete information situation where this is not the case is briefly discussed in Section 15.5.

You could distribute the items yourself. Since you don’t know about the values of the items to your daughters, it may seem fairest to give about the same number of items to each. However, the outcome is not fair if

EP - 120 ET - 1 PB - Mathematical Association of America PY - 2014 SN - null SP - 110 T1 - Dividing A Few Items II T2 - Game Theory Through Examples UR - http://www.jstor.org/stable/10.4169/j.ctt6wpwgj.18 Y2 - 2020/09/25/ ER -