This question illustrates how bidding dishonestly can end uphurting the cheater. Four partners are dividing a million-dollarproperty using the lone-divider method. Using a map, Danny dividesthe property into four parcels s1, s2, s3, and s4. The followingtable shows the value of the four parcels in the eyes of eachpartner (in thousands of dollars): s1 s2 s3 s4 Danny $250 $250 $250$250 Brianna $520 $170 $150 $160 Carlos $320 $350 $210 $120 Greedy$320 $300 $300 $80 Assuming all players bid honestly, which piecewill Greedy receive? s1 s2 s3 s4 Assume Brianna and Carlos bidhonestly, but Greedy decides to bid only for s1, figuring thatdoing so will get him s1. In this case there is a standoff betweenBrianna and Greedy. Since Danny and Carlos are not part of thestandoff, they can receive their fair shares. Suppose Danny gets s3and Carlos gets s2, and the remaining pieces are put back togetherand Brianna and Greedy will split them using the basicdivider-chooser method. If Greedy gets selected to be the divider,what will be the value of the piece he receives? Â
