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
Scenario Two conspirators are arrested and interrogated separately. If one implicates the opposite, he might go free whereas the opposite receives a life sentence. Yet, if each

A payoff offerd as a bequest for someone partaking in some activity that doesn't directly provide her with profit. Often, such incentives are given to beat the ethical hazard drawb

A type of auction in which the highest bidder is rewarded the object, but all bidders pay the auctioneer their bids. This differs from traditional first price auctions in which onl

An auction associates who submits offers (or bids) to sale or buy  the goods being auctioned.

This condition is based on a counting rule of the variables included and excluded from the particular equation. It is a necessary but no sufficient condition for the identi

The">http://www.expertsmind.com/questions/green-beard-strategy-30135520.aspx The same questions on this link.

Game Theory: (prisoner's dilemma) Consider the following 2 x 2 pricing game, where rms choose whether to price High or Low simultaneously. Find the equilibrium in dominant s

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

In econometric theory two possibie situations of identifiability can arise: Equation under,consideration is identified or not identified: 1) Equation is under-identified-

Twentieth century mathematician who expanded on earlier fastened purpose theorems. a hard and fast purpose theorem defines the conditions on a perform, f(x), beneath that there exi