BTW game theory & linear programming were my fev. topics.
Sudeep, taking cognizance of your subsequent 2 replies to Brahm (and thanks for that), I would rather not respond to most of this post, but only on the bit on game theory. Since that is a favorite subject for you (nice choice by the way), I am sure you'd have appreciation for Prisoner's Dilemma and its non-zero sum payoffs. So let's not go for the sub-optimal Nash equilibrium by not cooperating and instead maximize the pay-offs from cooperation.
For those who may not know and are interested, prisoner's dilemma is a very interesting game theory concept with applications in real life. You can read about it here:
http://en.wikipedia.org/wiki/Prisoner's_dilemma