So here is a real-life challenge
Using the setup conditions of First problem http://openstudy.com/study#/updates/5061ee56e4b02e139411644c , here is a much harder one
$$ \bf \text{Choosing a specific number by majority of votes.} \ \text{ Each robot has his own number known to all.}\ \text{ Using all of the above they have to choose exactly one of them.}\ \text{He will be called the president.}$$
$$ \bf \text{GUIDANCE : The robots can setup a very sophisticated} \
\ \text{protocol BEFORE they enter the game. Not the choice - only protocol.} $$
http://www.alcatrazhistory.com/alcesc1.htm
http://mathriddles.williams.edu/?p=146

Question

So here is a real-life challenge
Using the setup conditions of First problem http://openstudy.com/study#/updates/5061ee56e4b02e139411644c , here is a much harder one 
$$ \bf \text{Choosing a specific number by majority of votes.} \ \text{ Each robot has his own number known to all.}\ \text{ Using all of the above they have to choose exactly one of them.}\  \text{He will be called the president.}$$
$$ \bf \text{GUIDANCE : The robots can setup a very sophisticated} \ 
 \ \text{protocol BEFORE they enter the game. Not the choice - only protocol.} $$
http://www.alcatrazhistory.com/alcesc1.htm
http://mathriddles.williams.edu/?p=146

anonymous · Answer

All are welcome @ParthKohli @estudier

bahrom7893 · Answer

I didn't even follow the first problem.. what makes u think i'll follow this one...

anonymous · Answer

Imagine being locked in a prison cell (u know, sha-la-la happens man...) this will give you afiting chance out !

anonymous · Answer

I meant:  " a fighting chance"

anonymous · Answer

http://www.alcatrazhistory.com/alcesc1.htm

anonymous · Answer

GUIDANCE : The robots can setup a very sophisticated protocol BEFORE they enter the game. Not the choice - only protocol.