EFTA02613233.pdf

From: Madars Virza < Sent: Tuesday, December 4, 2018 8:59 PM To: [email protected] Subject: Re: thx If you like recrea=ional math as well, here's one of my favorite puzzles about cooperativ= games: There are two players, a referee and a st=ndard 8x8 chess board in a room. Each of the board's 64 squares is eit=er empty or has a pebble on it (all pebbles identical) but other than that=the configuration is arbitrary. The players don't know the configurati=n on the board, but can agree on a strategy beforehand. After agreeing on = strategy they will play the following game. The =eferee first takes the first player in the room, and points to a square of=referee's choosing on the chess board. The first player must choose a =quare and flip its state (i.e. place a pebble on it if the square was empt=, or remove the pebble if the square had one before). They both leave the =oom. Afterwards, the second player and the re=eree enter the room. The second player must now identify the square refere= originally pointed to. If his guess is correct, the players win, otherwis= they lose. If the players knew the contents of t=e board beforehand, there would no puzzle (you'd just flip the square =eferee pointed to). Surprisingly, there is a strategy that works no matter=the initial contents of the board! Madars On Tue, Dec 4, 2018 =t 12:57 PM J <[email protected] <mailto:[email protected]» wrote: your prayers help.. mat=ematics helps more :) please note<=r> The information contained in this communication is confidential,=may be attorney-client privileged, may constitute inside information, a=d is intended only for the use of the addressee. It is the property of<=r>.IEE Unauthorized use, disclosure or copying of this communication =r any part thereof is strictly prohibited and may be unlawful. If you h=ve received this communication in error, please notify us immediately b= return e-mail or by e-mail to [email protected] <mailto:[email protected]> , and destroy this communica=ion and all copies thereof, including all attachments. copyright -all r=ghts reserved EFTA_R1_01810374 EFTA02613233 Madars Virza Research Scientist MIT Media Lab=/span> web: =AOmadars.org <https://madars.org> </=iv> 2 EFTA_R1_01810375 EFTA02613234