Showing posts with label Game Theory. Show all posts
Showing posts with label Game Theory. Show all posts

Thursday, September 23, 2010

Game Theroy for Writers part II. “No you go first, I insist.”


With this post I hope to give you another tool for you to demonstrate how intelligent your characters are. As writers, sometimes we are faced with having to write in a genius when we ourselves are not that smart. So how do we create an illusion of genius without having to devise the world’s greatest battle plan or business strategy? I think one tool could again be game theory.

In games, as in life, there are some things that you just naturally don’t want to go first in. One very good example would be rock, paper, scissors. If your opponent throws rock, well you’d be pretty stupid to not throw paper.

But then there are other games where going first has a distinct advantage. A great example of that would be a wild west shootout. If you get to shoot before the other person, then you stand a decent chance (assuming you’re not a horrible shot) of winning.

So now the question is how do we know when to go first (more specifically our game theory savvy genius of a character) and when to defer when the situation is not so obvious.

The answer is lies in the usefulness of information, and the chance of ending the game on the first move. I know this seems very basic, but please stick with me on this. Yes I know rock paper scissors and duels are done simultaneously, but that’s what makes these such clear examples.

So let us delve down into this idea. In the rock paper scissors example, there is a HUGE advantage of going last because 1) You gain the knowledge that allows you to make a winning move and 2) The other person can’t win unless you make a move. So that is pretty simple. Lets look at the shootout game. In that there is a HUGE advantage in going first because 1) You already know the other person is going to shoot at you, so you already know all the the information and 2) You can win without the other person having to make a move.



Now lets do something a little less obvious. Say there are two companies, A and B. They both have a new gadget, (say an mp3 player) that they think will revolutionize the industry. Now they both know that the other is going to release one of these and that there could be some bugs or features people don’t like. So introducing the second model would have the advantage of being better technically. But if you introduce first you can gain a reputation and market share that would dominate your competitors. So what do you do?



Obviously the answer to that is complicated and we would need a lot more information to solve this analytically. But thankfully we don’t have to because we are writers and we can make whatever we want happen. If your main character is the CEO of company A, you can have him choose either strategy, and you can decide if he succeeds or fails. What makes game theory useful is that you can SHOW the CEO thinking and coming up with their strategy in an intelligent manner yourself. Have them wrestle with this idea.



The same goes for a general in a battle. Sure you can make them appear smart by having them win the battle with whatever strategy you choose. But what I think would show their intelligence more would to have them go over these two variables and try to decide what to do.



Smart characters should be shown thinking to get the effect across, same as strong characters should be shown picking up boulders. If you want to demonstrate how physically strong your character is, you show them picking the boulder; you don’t just say the boulder was moved. Same goes with smart characters. You don’t have the smart general just win the battle by surprising the enemy. You show them weighing in these factors and deciding that perhaps we know enough about the enemy where we don’t have to wait first to see what formation they arrange themselves in.



Hope this helps.

Tuesday, August 31, 2010

Yes, I’m still around

I must apologize for the lack of posts lately. My wife just had a change in her employment situation, and that means we have the same work schedule. This has resulted in much needed time with my wife, but has meant I either had to put off blogging, reading, or writing until I could find a routine that allowed for all three. I choose to put blogging on hold.

But before I get back into my series of game theory for writers posts, I want to give a quick update again on where I am with my current WIP, Bleed Well.

I have officially put down the red pen as I have made all the major changes on my rough draft that I wanted to. Now I just have to transport those revisions to the computer. But that itself is essentially another revision, so I’m getting this novel pretty tuned up. In those revisions, I am about 60% done, and hope to have that set of revisions done by September 15th.

Once that is done I will be re-reading the whole work for continuity, send it off to the betas, and work on the query/synopsis.

I also have another WIP that I am in the draft stage with. It has not gotten the attention it craves as of late, but I’m about 25,000 words in and I really like what I have so far.

Hopefully I will find a way to finish my second post on game theory for writers by the end of this week. Until then may the words flow out of your head and onto the paper.

Tuesday, August 10, 2010

Game Theory for Writers: Part I. Go Ahead and Burn That Bridge!

I had hoped to get this out much earlier, but later is better than never.

I also am going to have to do this in a couple different series since there is SOOOOOO much I could write about and don’t want to overwhelm all at once.

Now first, why do we care about game theory (GT) in writing? Well for one it helps you get a good grasp on what people would do in various situations. For second it will allow you to identify strategies that a smart character would use to win some sort of game (by game I could mean a game of checkers, or the “game” of taking over the world. Basically game just means a situation where there is some sort of competition). So hopefully you will be able to craft out a well thought-out plot that has your evil villain choosing the wrong strategy and going down in defeat because your hero was smart and picked the right one.

If that convinced you, now we need to get you grounded in GT. Basically all you do is write down the different choices the different players could make and the outcomes of those choices. So a real simple model game would be odd/even. This would be where player 1 (Bob) holds either 1 or 2 fingers behind his back. Then player 2 (Meg) tries to guess the number. Real simple.

Now lets say that when Bob chooses a 1 and Meg chooses a 1, then Meg gets $2 and Bob gets $1. If Bob chooses 1 and Meg chooses 2, then Meg gets nothing, and Bob gets $1. Now if Bob chooses 2 and Meg chooses 1, then again Meg gets nothing and Bob gets $1. Now if they both choose 2, then Meg gets $2 and Bob gets nothing. This is shown by the following chart.

Meg/Bob Bob (holds 1) Bob (holds 2)
Meg (guesses 1) 2/1 0/1
Meg (guesses 2) 0/1 2/0

So you can easily see that Bob should always choose 1, since his payoff is always going be be as good or better than if he chooses 2, and Meg, knowing this should also choose 1 every time. And since neither player can do better than this, both choosing 1 is called a Nash Equilibrium. Yes that same John Nash from A Beautiful Mind.

What does this particular game tell us about writing? Not much frankly, but that is notation that you need to know before we get onto the good stuff.

So the first thing I want to show you is why a smart character will eliminate one of their options in certain situations in order to gain an advantage. Yes that’s right, you can gain an advantage if you eliminate an option. So a businessman can gain an advantage over a competitor if he shuts down a factory, or a warrior if they burn their ships. Lets see how.

Lets take a business case. Say Sony and Microsoft are both existing in the business world. Microsoft happily making software, and Sony happily making TVs. Then one day both of them get the idea to make a gaming system, but then the market research folks come in and spoil the day. They conclude that if both companies enter the market, the competition for market share will be a drain on the company and they will both make $0 in profits. If both companies give up plans to make a gaming system, they will both go back to making $2 billion in profits. But if one company retreats, while the other company goes forward; the company making the gaming system will see profits of $5 billion, and the other will suffer from embarrassment and their customers won’t want their products. They will only make $1 billion in profits.

Here is the chart:

Sony/Microsoft Microsoft (retreat) Microsoft (go ahead)
Sony (retreat) 2/2 1/5
Sony (go ahead) 5/1 0/0

After many intense negations, neither company is willing to let the other be the only one with a gaming system, so obviously the best solution is for both of them to retreat. But then Bill Gates out of nowhere guts his software business and declares that from this day forward, Microsoft will focus only on their gaming system. They have essentially removed the option for them to retreat, and only the second column remains. Sony now has to choose between $1 billion in profits, or $0. Unless they want to sacrifice their company too, they will retreat and Microsoft will win.

So a warrior then who burns the bridges behind them and forces themselves to fight will gain this advantage. Same with somebody playing chicken who removes their steering wheel. Same with hostage negotiations when you have a policy where you can’t negotiate. The list goes on.

The one caveat with this is that the other player must know this. If not there could be disastrous results.

Now go out there and show off how smart you can make a character look by having them eliminate the safe option and take victory!

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