ypothetical gamewhere Player 1 has chosen to play a simple strategy of PPP. The first set resultsin Player 1 choosing paper and Player 2 choosing paper as well. The score isnow (0,0). The second set is Player 1 paper and Player 2 scissors. The score isnow (-3,3). Now Player 2 has cornered Player 1 into choosing either a rock toolor a scissors tool. This is because a rock is the only last tool that can win thegame for Player 1 (2,-2). Scissors is the only tool that can tie Player 1 andPlayer 2 (0,0). See Player 1 can’t choose paper for the last move because thereis no way that they could win. Player 2 aware of Player 1’s situation knows thatrock would put them even further into the lead. Player 2 knows that Player 1can’t choose paper, the only tool to beats rock, because it is irrational. Thishypothetical game was won by Player 2 in the second move. Some strategy iscompletely reliant on this rule of rationality.“It is in the play that I shall catch the Strategy of the king”Due to the complexity of this game I will only give examples of twopossible strategies for either player. The first strategy is what I call a simplestrategy. This means that the player will choose the same tool all three times. Display 2 is a chart that lists all possible outcomes for a simple strategy. As youcan see the best simple strategy appears to be rock. The chart plays through 20hypothetical games all of which Player 1 uses the same tool. When totaling thescores for each game, it shows that an all rock simple strategy results in 63points. Of course this strategy doesn’t always appear to work, for example, lookat hypothetical games 1, 2, 14, 17, and 18. Another strategy is the expectation -equalizing mixed strategy that is explained in chapter 2 of our text book. Thisgame does not have a sadle point, and there is no dominance or favor for eitherplayer. Chapter 2 explains that Row will play rows R, P, S wi...
