This is my whole portfolio. It includes all of the notes, worksheets, warm-ups, and quizzes (in order) that we have done, along with my critical responses.
(Sorry if some of the pages are blurry or sideways- I uploaded them from my phone to the computer and I guess something happened! But everything is there.)
This process (adjusted winner) helped me understand fair division. I liked this method because each person gets an equal amount of points-this process is completely envy-free. I also like how this process can be used outside the math classroom. For example, adjusted winner could be used in divorce cases to determine who gets what. It could also be used in wills and other family events to make sure that everybody gets their fair share. Adjusted winner could especially be used in global relations, especially when a country is splitting up (Czechoslovakia for example), to decide who gets what (trade, protection, rationing of supplies, etc.). All in all, adjusted winner can be used in many ways in todays society.
The Knaster inheritance procedure can also be helpful in the real world. In this procedure, even if the individual does not 'win' anything, they will likely walk away with a significant amount of cash. This procedure could also be used in family affairs such as estate sales and inheritance situations. This method of fair division is fair (in my opinion) because even if you lose, you will still walk away with something, unlike in fair division, where it's all or nothing. If I had to choose a fair division method (if I was in that type of situation), I would definitely pick this one.
The bottom's up strategy when taking turns was a new concept to me. I always thought that you should go for what you want and not focus on anything else. But I realized that in the bottom's up strategy, you can still get what you want without picking it first. This strategy is actually smarter, because you can outsmart your opponent by choosing things that they wouldn't think of you choosing. I feel like this method is used in real life all of the time, especially between siblings-whether they are dividing clothes or video games, they are participating in some way in taking turns. I know that next time me and my brother have to divvy up our Wii games, I will use the bottom's up method and get everything that I want. :)
