Transformers 3 Puzzle

The movie Transformers: Dark of the Moon contains an interesting puzzle.

Sam, the main character, has an evil robot (a small Decepticon) which transforms to a watch placed on his hand by Dylan, an evil guy.

The robot/watch can understand everything Sam says and hears. It reports information back to Dylan. It can tap into Sam’s nervous system and affect him, meaning he cannot just remove it. Sam must communicate to fellow humans and good robots (Autobot’s) but he knows the whole time whatever he hears or says is accessed to the enemy.

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We can build an interesting question from this.

Suppose you know person X and Y, person X works for a competing, evil company X’ and person Y works for your employing, good company Y’. Suppose everything that you communicate with person Y goes to person X and you cannot inform person Y of this.

Devise a winning strategy to defeat company X’ and for company Y’ to win.

Related mathematical fields; algebra, probability theory, set theory, number theory.

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