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Coordination Problems and Game Theory

Creator: jimbobjenkins February 23, 2011 7:56am
jimbobjenkins
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Older Game Theory Threads
The First 90 Seconds: http://www.mobafire.com/league-of-legends/forum/theorycrafting/game-theory-and-the-first-90-seconds-1764
Avoiding Skillshots: http://www.mobafire.com/league-of-legends/forum/theorycrafting/game-theory-and-avoiding-skill-shots-1763
Protecting Junglers: http://www.mobafire.com/league-of-legends/forum/theorycrafting/game-theory-and-protecting-junglers-1765

Here are some common issues you will see playing a game of League of Legends:

1) In the late game, there is a large team battle. You win it, acing the opponent but sustaining one or two casualties on your side. Those of you still alive push mid�hard. After a couple of turrets go down, you know that it is time to go back. The other team is rewspawning, and they are in a much better defensive position. But everyone else is staying, so you do too�better to stay than leave them alone. Sometimes it works out for you, as you take down their inhibitor as well. Other times you get slaughtered. The latter occurs more frequently.

2) In the ganking stage a few of you head to the bottom, slaying one foe while forcing the other to recall. You use this temporary advantage to destroy the turret. If you hurry, you have enough time to kill the dragon as well. But everyone else presses b, and you cannot do it yourself. Opportunity lost.

3) In the laning phase, you are playing as Ashe and could really benefit from the red buff. But you will get demolished unless you have the jungler tank it for you. And that basically never happens, so you don�t bother running over to the buff.

4) At any time during the game, a team battle starts. A teammate or two start targetting the enemy tank. You start targetting the enemy tank as well; you kill the tank, but the enemy carry stays alive to wipe out your side. This was better than if you individually targeted the carry and your team killed no one, but far worse than if everyone had targetted the carry.

I could continue with more examples, but I think you get the idea. What is interesting here is that all of these issues have the same underlying coordination problem. Jean-Jacques Re***eau first framed it as a "stag hunt":

I had always wondered how you could end up at the "bad" equilibrium�the one where both players hunt the less valuable rabbit. After all, the stag equilibrium is much more efficient and therefore better for everyone involved.

Playing League of Legends, however, has killed most of my doubts. Back when Morgana was an auto-ban, I witnessed my ELO plunge close to 1100. At the time, I was really only good with Morgana. Since no one would allow you to pick her and I sucked with everyone else, I was losing quite a bit.
I also noticed that my teammates� strategic IQ of was getting progressively worse. Everyone was targeting the tank, no one was pushing turrets at the proper times, and we were leaving the dragon up far too much.

After a while, I made a further grim discovery�I was slowly adopting these behaviors too! It is not that I wanted to target the tank or anything like that, but rather I was expecting my teammates to do so. And if my teammates are going to do that, then I might as well too. This becomes a self-fulfilling prophecy of sorts, where everyone is doing the inefficient thing for no reason other than that they expect their teammates to engage in the same behavior.

Simply put, a team that can overcome a coordination problem is more likely to win. There are three ways of doing this. Pinging is very handy here, as you can identify target enemy champions and jungle tasks. But pinging is also imprecise.

Typing things out helps here, but it comes at a cost as well�instead of doing useful things like clicking on opposing units, you are pounding away at your keyboard. You also risk having an enemy come out of nowhere and slaughter you while you keep pressing �w� to escape�but all you end up doing is typing a lot of letters into the chat box. Still, if you have the time, precise instructions in the chat box can go a long way toward coordinating your strategy.

Finally, Ventrilo is the ideal solution. In fact, it was pretty much created to solve these coordination problems. However, not everyone has it, and being on Vent by yourself does not do you any good. But when you can get a few players on the server, it changes everything. I remember reading that Riot was planning on building an in-client audio chat. If that ever happens, the game will completely change, and I suspect that games will be noticeably shorter, as coordinated bloodbaths become more frequent.

Anyway, just remember that coordination matters. At the end of the day, League of Legends is really a coordination problem, and those who can solve that problem are going to fare a lot better than the rest.
caucheka
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that and try to stay away from solo queue. if you want a coordinated team get a premade.

it really is frustrating when we win a teamfight and i tell everyone to push and then everyone backs.


anyway, it was a good read and i enjoyed it.
I like things that make me feel stupid. - Ken Levine
Jebus McAzn
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I liked this - in a situation where the carry represents the "stag" of their team, you almost always have incentive to take down the carry, as that's maximum payoff for your team. However, one thing that this model fails to take into place is the champion itself - abilities, crowd control, relative skill of teammates - etc. But it does a great job of generalizing and giving support to an already strong strategy.
Chaotic Bliss
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A more clear thread of my Order thread lol. I like this. I think it should be stickied

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jimbobjenkins
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I'd be okay with a sticky. :)

I didn't really think of the direct analogy of the enemy carry being the stag, but that's a nice spin to it.
Kibblinator
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This post is sooo true. I don't play ranked very often, so having played a LOT of normal games I can fully vouch that the preceding happens almost all the time. Notably, when you have a premade or just a lucky team these issues are almost completely negated. You speak sense Jimbob ;).

Its worth mentioning that 2 or 3 man premades tend to be useless due to 2 people being uncooperative, unless you lane togther and one gets fed of course. but without a full team premade and coordinated they get focused and become pitiful.

I use vent myself and it is a huge help, nothing rivals co-ordination quite like audio talk, i certainly agree on that front.

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