kar: the deliverable was to come up with a player which does well in a single player game. kar: lets start with group 2. kar: g3. did you finish or die. kar: g4. you did conerge to a lane pretty quickly, but the bikers are riding very slowly. pj: we go with a constant velocity. zz: how's the score computed? kar: 5 for gold, 3 for silver and 1 for bronze. kar: g5? ratul: we have 2 players.. kar: one of the riders stays put. thats a very conservative strategy. kar: g6 seems to be missing.. g7? kar: g8? rean: we calculated how fast we can go to reach the finish line. kar: g9? mss: we have two players. kar: g1? kar: how many agree with the sentiment that there are complicated computations. jeff: I think its best to start with the case where there is only one player. once you have that, you can get it for two players and so on.. so its v = (E/D)^(2/3) kar: which of you also got the same equation. kar: lets do the two rider case.. bogdan: all the riders fo in line, then one of them dies and then another and so on until one finishes. v = ( (E/D) (10/7) (1 - .3^R) )^(2/3) kar: who else came up with this equation. peter: when they all get into a line, they'll have different velocities. john: at the end, when you finish, you'll finish with some average velocity then there's no point going at a higher or lower velocity. kar: but the situation in the last phase is different bogdan: you can use induction... when one player drops out, there is one player less left and the race is shorter. jeff: its intutively incorrect to think about just one player alf: dont have a proof, but since there is continuous movement, there should be some use of calculus. kar: I'm sure its true in more realistic scenarios since this is a very simplistic scenario. kar: what if the velocity is changing.. vipul: then it would be integral of v^1.5 dS with S going from 0 to D. kar: I would suggest you all come prepared with the formulas. bogdan: the computation of optimal speed may require some calculus. peter: thats what I was saying. is more than just some simple equations. peter: In a slipstream, you can only do 30% better, which is only 11% faster speed. pv: I got a higher ratio than 11. kar: so maybe we can resolve this by wednesday. kar: lets talk about strategy. kar: what would happen if I put all the players together now.. kar: oh group2 seems to be winning... zz: do they require the number of players to be above certain number.. kar: I'd like to touch on some cooperative behavior. kar: do you think its fair? sasha: I think its somewhat of a problem.. kar: its better to get a silver than nothing at all. miguel: I dont think it'll matter a lot, since you'll have multiple riders in your own team. rean: maybe not have any explicit cooperation but do it dynamically. kar: is it fair to have pacts in writing code. deepti: we can have A and B having a pact and then B can hae another pact with C and then B can end up winning the race. sov: what about when you team up with another team and you alternate your players in the front. chris: I think we should make it possible but I dont think lot of people are going to do it. chris: In that case, why not open up the player identities in the simulator. kar: how many people think its fair? kar: so its in favour of fairness. kar: what I hope doesnt happen is that a coalition of say 3 teams always gets the medals. peter: one can disrupt or join them.. kar: the power group may have a counter strategy kar: how can we prevent these power groups? andy: in the real olympics the countries have a dislike of each other. deepti: if we have 3 or 5 player games, they may not be paired together. sov: there's nothing stopping the other 6 groups joining forces. peter: if 2 groups are sharing code, but then they are collaborating and then that'll be too much. kar: I think the summary is that there wont be any rule but people would have to infer on board their collaborating team(s). kar: deliverables ?? kar: I'd like to see more and better equations and your player should do something in the multiplayer game. kar: lets continue talking about collaboration mechanisms? sasha: you can have some riders just disrupting other peoples columns. alf: the most beneficial thing to do is... If other players have an optimal solution, you can disrupt that very well. kar: how effective can that be? jeff: if they are going at full speed, then you cannot overtake them. john: you could split into two and the disruptive element can get confused. rob: you can change lanes.. suv: in moving sideways, you might break your line, since there may be another player in the other lane. hari: you could move to the opposite lane.