strenght and limitations of game theory?
440238
I'm reading "A Beautiful Mind" right now, which is about John Nash, who won the Nobel Prize for his contributions to game theory. (The movie is entertaining, but about all the book and movie seem to share is the title and the main character's name - John Nash.)\n\nWhile the book doesn't go into great detail, it does talk about game theory and what Nash discovered.\n\nBefore Nash, game theory had been around for about 10 years. It was mainly developed by John Von Neuman (sp?), who also developed the architectural model for computers.\n\nIn the Von Neuman model, game theory consisted of 2 participants, who saw the entire game, and it was a winner take all - much like chess.\n\nBut what about multiple player games where there's hidden information, such as poker. Nash developed something to address this called the Nash Equilibrium for his Ph.D. thesis at around age 21. It earned him the Nobel about 40 years later.\n\nNot being a professional mathematician, I'll attempt to describe it. It basically states that in these multiplayer games where different players can have different strategies, there exists an equilibrium where each play starts to lose if he/she changes his strategy.\n\nThe concept of the equilibrium opened game theory to a whole host of applications including: economics, the nuclear arms race and even biology.\n\nGame theory goes way beyond games. Game theory helps provide a mathematical tool to help model not just a real world situation, but human behavior.\n\nIn the same way that calculus is the math that allowed us to model the universe, game theory is the math that helps to allow us to model human behavior.
2586
Very cool programming question.\n\nWriting a computer program to simulate 8 chess pieces, all queens moving about according to the rules of chess is an interesting problem.\n\nA simple approach would be to randomly populate the board with 4 white and 4 black queens. Then randomly pick a queen, and search along the 9 directions it can move. If you find an enemy queen capture it. If not, check each of your remaining queens for capture possibilities. If there are no captures search for a move which will set you up for a capture on the next move.\n\nNow repeat this for the other side.\n\nKeep looping until either one side wins, or moves repeat more than say ten times.\n\nGood luck!
615495
I think it may work in the beginning bc the one being played may think that it's a challenge. However, playing games will guarantee a painful ending... there will always be a loser and when playing with feelings, the player will almost always end up being the loser.
468063
Ive played Chessmaster2000! Belive theres a Plyr. vers.\n Plyr. or set it to play itself...:)
293428
This is best answered by guro joe at:\n\nhttp://www.playnow.co.il/Games/game_eng.cfm?ID=100
772558
Now there's some strange questions. I'll help as best I can. I hope I've understood the questions properly.\n\nQuestion 1) Bob will always win, assuming they play perfectly.\nIf Ann takes 1 matchstick, Bob should take 2. That leaves 3 left. Now whether Ann takes 1 or 2 from the remaining 3, Bob is left with 1 or 2, so he can take what's left and wins.\nIf Ann takes 2 matchsticks,  Bob should take 1. That also leaves 3 left, so again regardless of how many Ann takes from the 3 remaining ones, Bob can take what's left and win again.\n\nQuestion 2) The answer is 5.52pm.\nLets say the slow train moves at speed X. That means the fast train moves at speed 2.75X. This is because the fast one moves 2.75 times faster than the slow one (since it travels the same distance in 8 hours compared to the slow time of 22 hours, so it must be going 22/8 times faster).\nIn the time taken for the trains to meet, between them they have travelled the full distance. Therefore you can add their speeds together to calculate the relative approaching speed of the trains, which would be 2.75X + X = 3.75X.\nNow, the slow train travels at speed X and takes 22 hours to go the same distance. Therefore we can say that the time taken for the two trains to meet is 22X/3.75X, or 22/3.75, which is 5.8666.\nTo convert 0.8666 of an hour to minutes is simple - just multiply by 60. This gives 52.\n\nSo the total time taken is 5 hours 52 mins. \n\nTo put it another way:\nSpeed of train 1 = 2.75 times faster than train 2. So the speeds of the two trains together = 3.75 times faster than the slow train.\nThe slow train takes 22 hours to go the distance. Therefore the two trains together take 22/3.75 to do the same distance, which is 5.8666.\n\nI hope this helps :)
568434
Players - There are 22 players, each with a box numbered between 1 and 22.  Each day a player is chosen at random to play the game.  That person's space is filled the following day, and each person remains in the game as a box holder until they are selected to play the game themselves.\n\nThe Game - The player for that day does not know how much is in their box.  The board shows the amounts of money in play.  They are 1p, 10p, 50p, £1, £5, £10, £50, £100, £250, £500, £750, £1000, £3000, £5000, £10000, £15000, £20000, £35000, £50000, £75000, £100000, and £250000.\nThe player chooses boxes one at a time, and their values are eliminated from the game board to show the possible amounts available still to win.\nAfter 5 boxes, the phone will ring and the banker will offer an amount of money based on the possibilities still remaining.  Following this, the banker will make an offer after every 3 boxes have been chosen.\nAfter each offer, the player must decide whether to accept this offer, or eliminate more boxes in the hope that he will knock out the low amounts, and therefore generate a higher offer from the banker.  Ideally, he will have the £250000 in from of him, meaning it cannot be eliminated, and will generate a high offer to the end of the game.\nThe question "Deal Or No Deal" is asked each time, hence the title of the show.\nIf the player accepts the offer at any time, that is the amount they go home with.  The game is then played to it's conclusion to see how much they would have won if they had carried on to the end.  The offers continue to be made by the banker as if the player had not made a deal at an earlier time.
809742
It is both advantageous disadvantage and disadvantageous advantage.  It all depends on how YOU behave in PG level.
967397
You really think you can make that work?\n\nBut anyway. if you look at this in the eyes a pure statistician, than the more you play, the more you increase the odds that you win... the more squares you play, the more you increase the odds that you win.. as far as the odds of it actually paying off... god only knows
459396
This question is asking the EXPECTATION for this game, which can be found by summing the product of each outcome with it's respective probability:\n\np1x1 + p2x2 + ... + pnxn\n\nThis gives the theoretical winnings or losings for the game.  If it's a negative number (loss) it's high risk, while a positive number (gain) would mean you're expected to win.  Of course, with any probability problem, the actual results will match up with the theoretical results only over the long term.
865482
in what terms???? \nwhat good does it bring to sociaty??  economy???  the game????
234449
I'm reading this book right now\n\nhttp://search.barnesandnoble.com/booksearch/isbnInquiry.asp?z=y&isbn=0452285259&itm=1\n\nI just got it, so I haven't read too far, but so far it's very interesting and easy to understand.  Here's some others on my list\n\nhttp://search.barnesandnoble.com/booksearch/isbnInquiry.asp?z=y&isbn=0195142373&itm=2\n\nhttp://search.barnesandnoble.com/booksearch/isbnInquiry.asp?z=y&isbn=019514743X&itm=5\n\nI would look on ebay or half.com, or even your library, first.\n\nI also think game theory and number theory are interesting topics, so if you or anyone else has a recommendation for those, please let me know :)\n\n~~~~~~~~~~~~~~~~~~~~~~~~\nI forgot this one, it's on my list, too\n\nhttp://search.barnesandnoble.com/booksearch/isbninquiry.asp?z=y&pwb=1&ean=9780691058542\n\nAnd I agree, good for you for expanding your horizons.
667274
What economists call game theory psychologists call the theory of social situations, which is an accurate description of what game theory is about.\n\nSee the reference for much more information.
908392
Here's some ideas:\n\n1.) the balloon game: break into groups of five and have team mates link hands. Every group gets a balloon which is not allowed to touch the ground. Players must keep the balloon in the air without holding it or letting go of hands. Sounds easy? Gradually eliminate parts of the body which players are allowed to touch the balloon with (no hands, no arms, no head, no feet, ect.). Object: count the times you can hit the balloon keeping it in the air and try to score higher than the other groups.\n\n2.) Wacky relays: This one can pretty much be designed however you like. During P.E. one way my class plays is that they are in groups of six, have one exercise mat, and two scooters and they must get all players across the gym with out touching the ground. Object: work as a team to create a system in which to beat other groups in a relay.\n\n3.) Seeing eye dog game: Players find a partner whom they trust. One player is blind folded while the other is stationed at the other end of the gym or playing area. Across the feild "dangers" such as rubber cones, hula-hoops, or foam noodles are set up. Blindfolded partners start opposite their seeing partners who yell directions to them to lead them safely across the feild. Once they reach their partner they switch rolls. Also, if they touch a "danger" that partner must start again from where they began. Object: get both players to opposite sides of the feild quicker than opponents.\n\n4.) Hula-hoop game: Groups of 5 (or more) form a circle and lock hands. A hula-hoop is placed over one person's arm. Players step through the hoop and pass it around with out breaking links with their arms. Object: Get hula hoop around the circle quickest.\n\n5.) Knots: A group of 5 or more stands in a circle and locks hands with two different people in the circle (somewhat across from them). Then, by turning their bodies, stepping over or under each other they work as a group to untie their "knot" and form a circle. Object: Form a circle quicker than other groups. \n\nI'm sure these games can be adjusted to fit your needs also. Good luck! I hope this helped.
118128
Just try Googling "gambling sports" and maybe the words "discussion debate morality ethic" and see what comes up.  It's a common enough topic of discussion.  Try your local librarian, too - they are really very good at what they do, they want to help you more than I do, and it's free!
836714
In a tough game anything can happen.  If you knew who would win it wouldn't be no fun.\n\nCoach
352980
The adversarial system, as it is between unions and management, is one in which one party's gain is the other party's loss.  Since parties negotiate for their own best interest, they are essentially "taking" as much as they can from the other party.  Typically, parties come to these negotiations with an adversarial attitude, and that's why things never get done!!