Game theory in action!
Rank Student
1. A1
2. B1
3. D1
4. C1
5. E1
6. C2
7. A2
8. B2
Students get to choose college in order of rank.
A1,A2 | B1,B2 | C1,C2 are friends and want to be in the same college
You got one college with three seats left.
You are A1 and want to be in that college with A2. Your chance for selecting the seat comes up. What do you do?
If you select, you will effectively preempt B1 from selecting because assuming D1 & E1 don't want to take up the seats in that college.
Now that B1 has been preempted, there is a possibility of C1 & C2 taking up the seats,...now making you choice of selecting the seat purposeless.
The other option you cand do is drop down ranks to select a college along with A2. i.e your rank becomes 6, all above you shift one step up. (This is part of the rules). Now what happens, B1 takes the seat, and if C1&C2 don't take it, A1&A2 can get the remaining two seats. But this would be a risky proposal.
So what do you do? retain the same rankings, Select the college and since you know that B1 wouldn't select the college, you try to strategize to preempt C1 from selecting the college. So you make a pact with D1 to select the second seat so that D1 would prevent C1 from preempting A2. But..all this provided E1 is persuaded not to take up the last seat.
Well you begin to apply game theory of this nature only at the IIMB Exchange bidding process!! And that is why they teach you game theory in mico economics the term before :)
Well now you'll think...isn't game theory all but common sense!...well if its common sense, why would ppl be given nobel prizes for it...well then i must get a nobel prize!