Re: Dse 2012

Posted by Erika on May 29, 2013; 4:40pm
URL: http://discussion-forum.276.s1.nabble.com/Dse-2012-tp7581459p7581475.html

Swap is two sided..means both HAVE to swap (exchange cards) for a swap to occur. But retaining is one sided. If one chooses to retain, it is sufficient for him to retain as the other doesnt have the option but to also retain.

so, I am player 2 and you are player 1 suppose.

I choose a card, you choose a card.
Now, suppose, I decide to swap with yours. this would mean that i believe my score is lower than yours  (in a uniform distn, I would say this when I have a number lesser than 50)and by swapping i can have your larger number. This would lead to two cases:

1. you really do have a number greater than 50. In this case, you would CALL to retain and NO SWAP OCCURS.

2. you have a number lower than 50. In this case, you wonder about the probability of me getting a number higher than 50. This itself is contradictory because I am swapping only because I have a number less than 50. Therefore in this case also, swap does not seem to promise you a benefit.

thus, no swap occurs .

P(swap)=0


NOTE: this is an intuitive answer. Plz let me know in case anyone figures out the mathematical ans.