Four heirs (A, B, C, and D) must fairly divide an estate con…

Four heirs (A, B, C, and D) must fairly divide an estate consisting of two items, a desk and a vanity, using the method of sealed bids.  The player’s bids are: A B C D Desk $320 $280 $200 $220 Vanity $220 $160 $100 $140 In the final allocation, how much does player C receive? _______

The next two questions illustrate how bidding dishonestly ca…

The next two questions illustrate how bidding dishonestly can end up hurting the cheater. Four partners are dividing a million-dollar property using the lone-divider method.  Using a map, Danny divides the property into four parcels S1, S2, S3, S4{“version”:”1.1″,”math”:”S1, S2, S3, S4″}.  The following table shows the value of the four parcels in the eyes of each partner (in thousands of dollars): S1{“version”:”1.1″,”math”:”S1″} S2{“version”:”1.1″,”math”:”S2″} S3{“version”:”1.1″,”math”:”S3″} S4{“version”:”1.1″,”math”:”S4″} Danny $250 $250 $250 $250 Brianna $520 $170 $160 $150 Carlos $320 $320 $160 $200 Greedy $340 $280 $270 $110 Assuming all players bid honestly, which piece will Greedy receive?

Joe and Hope want to split a bag of fun-sized candy, and dec…

Joe and Hope want to split a bag of fun-sized candy, and decide to use the divider-chooser method.  The bag contains 100 Snickers, 100 Milky Ways, and 100 Reese’s, which Joe values at $5, $4, and $3 respectively.  (This means that Joe values the 100 Snickers together at $5, or $0.05 for 1 Snickers.) If Hope is the divider, and in one half puts: 30 Snickers – 30 Milky Ways – 75 Reese’s What is the value of this half in Joe’s eyes? _______