There were 21 flags and each player had the opportunity to remove 1,2, or 3 flags. The player that removes the last flags will be the winning team. By applying the backwards induction theory, think backwards in time and the optimal winning strategy is to leave the opponent player 4 flags by each step to remove the flags so that the remaining number is divisible by 4.
The player that has the first attempt to remove the 1st flag will control the 100% of whole situation. This is the unbeatable strategy that will lead the whole situation by leaving the opponent player with a multiple of 4 flags. This apply when both player understand the trick of this 21 flags game. By leaving the opponent player with 20 flags at the first attempt, no matter how many flags the opponent player remove, the player that in control could then remove the flags and leave the opponent with 16 flags, then 12 flags, then 8 flags and finally 4 flags which forces the opponent in to a situation where no matter how many flags the opponent player remove, the in charge player will be able to take the last flag. The key of this game is the target number you arrange it so you leave your opponent player with. Then whatever amount of flags the opponent player take, you can remove the remaining 1 to 3 flags that sum up to 4. The first attempt to remove the 1st flag of this 21 flags game has the upper hand.
However, if you lost the first attempt to remove this game, you better hope the opponent player do not know the trick of 21 flags. By this, you may still stand a chance to get back the control of this game by playing randomly to confuse the opponent player and try to get back the target number of 4. Unless the opponent understand well the strategy of this game else they most probably will go to make a mistake and allow you to control back the situation by getting back the situation where flags number able to be divide by 4 before ending the game.
...Application Of GameTheory to Business: Preliminary Findings for Term paper
Saurabh Mandhanya 11p164Rajat Barve 11p157Shashank Gupta 11p166Deepak Bansal 11P133Padmini Narayan 11p152Lizanne Marie Raphael 11P025 
[ The Kargil War: Analysis and Learning Through GameTheory ] 

Introduction
India and Pakistan have been involved in conflict over Kashmir since Independence. It has led to numerous wars and attacks. The...
...Topic 5: GameTheory Applied to the Movie and Aviation Industries
I. Case study: GameTheory Applied to the Movie Business
In the movie business, one of the trickiest decisions producers face is what type of movie to make. Suppose there are 2 movie studios and that their producers are trying to decide whether to make an Action Adventure (AA) or Romantic Comedy (RC) movie. Suppose each of the studios does not know what type of...
...punish the defectors. Let us study these philosophies in comparison with Prisoners Dilemma & TitForTat strategy in Gametheory.
Game theorists, like gamblers and children, can become addicted to iterated games. Their classic example is the Prisoner’s Dilemma, whose diabolical simplicity has given rise to thousands of scientific publications. Two players are engaged in the game. They have to choose between two...
...Gametheory is defined as “the study of the ways in which strategic interactions among economic agents produce outcomeswith respect to thepreferences of those agents, where the outcomes in question might have been intended by none of the agents” by the Stanford Encyclopedia of Philosophy (Ross 1997). The disciplines most involved in gametheory “are mathematics, economics and the other social and behavioral sciences” (McCain 1997)....
...GameTheory
The game begins with a case that occurred on two prisoners. Both prisoners were suspected criminals and their work. Both prisoners were placed in a different room, then to be given the question of whether it is true they are committing a crime or not. Option given is: If the prisoner A prisoner confessed while B does not confess, then A will be free, while B will get a 6 month sentence. If they plead not guilty, then it will get a 1...
...GameTheory Term Paper
Anomitra Bhattacharya
ab783@cornell.edu,
Cornell ID – 2316802
What ails Uttar Pradesh?
The states of Uttar Pradesh (UP) and Tamil Nadu (TN) reveal a marked northsouth divide in India. Uttar Pradesh, which was ahead of Tamil Nadu in the 1960s, now lags behind in the same sectors where Tamil Nadu has made significant progress. If one were to study Indian history or politics, UP’s lag would come as a surprise. All but four Prime...
...choose a price (p1; p2) instead of choosing a quantity. the same information given in the first part of this problem, what is the Nash equilibrium in prices?
p1 = p2 = MC = 6
5. (20 total points) Suppose that two players are playing the following game. Player 1 can choose either Top or Bottom, and Player 2 can choose either Left or Right. The payoffs are given in the following table:
Player 2
Player 1
Left
Right
Top
1 2...