CentralNotice From Wikipedia, the free encyclopedia Jump to: navigation , search In game theory , " guess 2/3 of the average " is a game where several people guess what 2/3 of the average of their guesses will be, and where the numbers are restricted to the real numbers between 0 and 100, inclusive. The winner is the one closest to the 2/3 average. 1 Equilibrium analysis 2 Experimental results 3 Rationality versus common knowledge of rationality 4 History 5 See also 6 Notes Equilibrium analysis [ edit ] In this game there is no strictly dominant strategy. However, there is a unique pure strategy Nash equilibrium . This equilibrium can be found by iterated elimination of weakly dominated strategies . Guessing any number that lies above 66.67 is weakly dominated for every player since it cannot possibly be 2/3 of the average of any guess. These can be elim...