correct strategy in THE PRICE IS RIGHT, wheel spin thing

[imfatandugly]

What is the correct strategy for players 1,2,3 in the price is right? What is the probability that player 1,2,3 will win given that each player plays correctly. If there is a tie, i.e. player 2 and 3 both spin 100's, then they do a spin off, whoever gets the next highest roll wins.

If it makes it easier you can make it two player or they are given a random number in [0,1] instead of spinning if the sum of the two numbers is greater than 1, then they lose.

Intuitively i'd think that player 2 and player 3's best strategy is to just get a higher score than the previous guys, is this always correct? But where player 1 should stop is not so clear to me.

[TomCowley]

You can solve this pretty easily working backwards. Figure out player 3's strategy and expectation, then do player 2's, then do player 1's.

Player 2 will sometimes take a second spin after beating player 1. Player 3 will never take another spin