Two player problem of points set up - game theory, Game Theory

a) Show that

259_Two player Problem of Points set up 1.png

A counting proof could be fun(?). But any old proof will do.

(Note that the coefficients (1,2,1) in the above are just the elements of the second row of Pascal's triangle. In general, if you take any row of Pascal's triangle and apply all of the coefficients to adjacent entries of a later row in the table, you will get another entry in Pascal's triangle. You don't have to prove this).

b) Not connected to part a) above (I don't think). Consider the two player Problem of Points set up, where the game consists of n rounds, and where player A has won a rounds and Player B has won b rounds (a, b < n)whentheyareforcedtoquit.Let r =2n - 1 - (a + b). Show that according to the Pascal-Fermat solution, the ratio of A's share of the pot to B's share of the pot should be:

1789_Two player Problem of Points set up 2.png

That is, all you need is the r'th row of Pascal's Triangle to get the split of the pot, as pointed out by Pascal.

Posted Date: 3/30/2013 5:11:53 AM | Location : United States

Related Discussions:- Two player problem of points set up - game theory, Assignment Help, Ask Question on Two player problem of points set up - game theory, Get Answer, Expert's Help, Two player problem of points set up - game theory Discussions

Write discussion on Two player problem of points set up - game theory
Your posts are moderated
Related Questions
A game is one among complete data if all factors of the sport are common information. Specifically, every player is awake to all different players, the timing of the sport, and als

A simultaneous game is one during which all players build choices (or choose a strategy) while not information of the methods that are being chosen by different players. Although t

Consider a game in which player 1 chooses rows, player 2 chooses columns and player 3 chooses matrices. Only Player 3''s payoffs are given below. Show that D is not a best response

Treating probability as a logic, Thomas Bayes defined the following: Pr(X|Y)=Pr(Y|X)Pr(X)/Pr(Y) For example, probability that the weather was bad given that our friends playe

Not technically an auction, however a posted-price procedure during which the auctioneer sets a worth and sells to the primary bidder willing to pay it. The auction ends as soon as

A game frequently displayed in tv police dramas. 2 partners in crime are separated into separate rooms at the police station and given an identical deal. If one implicates the oppo

A bid that indicates totally different costs for various quantitites of the item offered for sale. A series of price-quantity mixtures is tendered to the auctioneer.

Explain the financial system terms definitions. The Financial System Definitions: Wealth It is sum of Current Savings and Accumulated Savings Financial asset P

Matches or different objects are organized in 2 or a lot of piles. Players alternate removing some or all of the matches from anyone pile. The player to get rid of the last match w

What do meant by Monopolistic competition? Monopolistic competition is a market structure wherein: 1. There are several competing producers into an industry, 2. Every pro