Recent content by ruzbayhhi

I've been struggling with shared constraints problems for a while now. I have a game between two players with a shared constraint. For example, player 1 is trying to maximize f(x,y) by choosing x, and player 2 is trying to maximize g(x,y) by choosing y. The players are competing in a...

aaaannnnd five minutes after posting this I managed to solve it...

I spent a lot of time trying to understand the move the author makes in this paper from (4) to (5). It seems like it is a straightforward application of implicit differentiation, but I just can't replicate that. Relevant segment: http://i.imgur.com/GqFUxpQ.jpg Relevant paper...

I am modelling a scenario where a seller chooses a price, x. If the buyer has less than a threshold amount of money (w <= x/a) he doesn't buy the product (payoff for seller = 0). If he has enough money, he will buy it (payoff = x). The seller doesn't know exactly how much money the buyer has and...

I am trying to take a derivative of (1-F(x/a))(x) (where F(.) is a CDF and a is a parameter), and I an not sure whether the derivative should be : -(1-F(x/a))f(1/a) or -(1-F(x/a))f(x/a). Also, I am not sure how to interpret the result that at the maximum: F(x/a)f(x/a)=1.

Yes, right (but the investment choice is not binary - to invest or not to invest, but rather continuous - how much to invest with zero and everything at the limit).

Player B invests a sum of money in fighting. I don't think it is material how much money he starts off with, but we can assume he starts with $10,000. Player B can choose how much of that to invest in fighting. Obviously he will never invest more than the amount at stake (800). However, he might...

I probably should have stressed that fighting over the money is probabilistic process, that is affected by the relative investment of both parties (the more A invests, relative to B, the higher his chances of winning). Given that, Player B stands to lose his investment in fighting and to gain...

To clarify I will give a numerical example. At time 1, player A has a $1000 Dollars. Player B wants $800. Player A can choose to pay it all to B, pay none and fight with B (and then he has to decide how much to invest in fighting) and pay some of it and fight over the rest. Player B has one...

Anyone? (It's a bit urgent and I really need your help! CHEERS!)

Yes, exactly - the payoff function for player A is u(A) and for player B it's u(B). Player A has two choices to make and Player B has one. To illustrate: the players are at a fighting over a sum of money. Player A can give player B all or some of his money, or invest some or all of his...

Homework Statement I have been grappling with this one for a while now. I have two players in a competitive game. Player A chooses how much to invest in x and y (he has two choice variables), and player B chooses how much to invest in z. Their payoff functions are functions of their choices...