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Reading, Writing, Arithmetic + Game Theory In School

 
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lcap
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PostPosted: Jun 14, 2005 9:19 am    Post subject: Reading, Writing, Arithmetic + Game Theory In School Reply with quote

I’ve always maintained that life and certainly business is a game. Some know how to play it well but unfortunately most do not. Game theory should be taught starting in Jr. High through H.S. and into college. I believe it is as fundamental as reading, writing and arithmetic.

I have an interesting situation with a property developer. Each time we talk he reminds me of how smart he is because he is a Harvard Law graduate.

Here is our situation. I have 5 waterfront lots that have been tied up for almost two years in the permitting process. The permits and short plat have been approved the value of the property has doubled and we are getting ready to close. I think the pricing is artificially inflated and wanted to assign my contract. He refuses to let me assign the contract (despite the fact it’s written as Lcap or assigns/nominees) because he’s betting I won’t close and he can make an extra $525. Understanding and playing into his greed I offered a deal that would net him $220. He said no. Thereby turning it into a zero sum game. He understands there is a 99% chance he will end up with $0.00. In my opinion this is stupid, stupid, stupid.

That’s my scenario and here is a classic game theory scenario:

Two criminals are captured by the police. The police suspect that they are responsible for a murder, but do not have enough evidence to prove it in court, though they are able to convict them of a lesser charge (carrying a concealed weapon, for example). The prisoners are put in separate cells with no way to communicate with one another and each is offered to confess.

If neither prisoner confesses, both will be convicted of the lesser offense and sentenced to a year in prison. If both confess to murder, both will be sentenced to 5 years. If, however, one prisoner confesses while the other does not, then the prisoner who confessed will be granted immunity while the prisoner who did not confess will go to jail for 20 years.

What should each prisoner do?
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PostPosted: Jun 14, 2005 9:29 am    Post subject: Reply with quote

after taking micro-economics for the past 4 years....i draw the 4 quadrant box and come up with you should confess... Laughing mathematically its right thing to do.
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PostPosted: Jun 14, 2005 10:05 am    Post subject: Reply with quote

lcap, how do you figure 5 years for confessing to murder?

That doesn't seem right. If both confess they would probably both get 20 years.

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PostPosted: Jun 14, 2005 10:51 am    Post subject: Reply with quote

Talk to an RE atty. I do not believe he can do that.
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PostPosted: Jun 14, 2005 10:53 am    Post subject: Reply with quote

Wakebrad, Game "Theory," theory being the key word here.


Alter Ego, you're wrong. Neither are to confess.

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PostPosted: Jun 14, 2005 11:10 am    Post subject: Reply with quote

also, I think "4 quadrant" is redundant. Laughing
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PostPosted: Jun 14, 2005 11:11 am    Post subject: Reply with quote

wkebrd3,

But you can't control what your buddy will do. If he gives you up, your in jail for 20 years.

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PostPosted: Jun 14, 2005 11:12 am    Post subject: Reply with quote

wkebrd3,

How is he wrong? The key here is that the criminals are separated. They cannot form a strategy together. So, looking at it from one's perspective, just consider what the other guy could do:

1. He could confess. If you confess too, you'll get 5 years. If you don't, you'll get 20. You should confess.

2. He could not confess. If you confess, you get zero years. If you don't, you get 1. You're still better off confessing.

Obviously, the best solution, in terms of the total number of years served, would be for both not to confess. Of course, even if you could discuss it with the other guy, would you gamble 20 years by trusting him not to confess? I wouldn't. I'd take 0 or 5, not 1 or 20.
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PostPosted: Jun 14, 2005 11:16 am    Post subject: Reply with quote

Jack Mccoy says that even if you flip one on the other, there has to be corroborating evidence that the confessor can produce to prove they did what they did and the other party was definitely involved.
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PostPosted: Jun 14, 2005 11:24 am    Post subject: Reply with quote

As you can see, the best outcome would be 2 years to total prison time.



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PostPosted: Jun 14, 2005 11:34 am    Post subject: Reply with quote

It's called the prisoner's dilemma. It is a very common discussion in the the criminal justice/legal curriculum.


HERE IS THE ANSWER FOR ALL YOU SALLY"S.

YOU GOT TO PULL B'S TO GET A'S.

hey wke3, is that some sort of six sigma equation?


ISO 420

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PostPosted: Jun 14, 2005 11:47 am    Post subject: Reply with quote

muckmeister,

You are correct and I think Game Theory should be taught from Junior High through High School.

People get to hung up on absoulte victory. This of course also means absolute failure for the other player. I see it and deal with it every day. People rarely look at or strive for the best outcome---Total Victory is rarely the best outcome.

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PostPosted: Jun 14, 2005 11:52 am    Post subject: Reply with quote

lcap,

So, you agree that you need to pull B's to get A's. I don't think they should teach that in Jr. High

But definetly in HS.

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PostPosted: Jun 14, 2005 11:54 am    Post subject: Reply with quote

Quote:
He refuses to let me assign the contract (despite the fact it’s written as Lcap or assigns/nominees) because he’s betting I won’t close and he can make an extra $525.


This doesn't make sense, unless he thinks you will get hit by a bus, even a homeless person could close under the scenario you presented.

Why would you ask his permission to assign the contract anyway, as long as a BFP will pay you I would give two shits what he thinks.....tell him if you cared what his opinion was you would retain him as your lawyer .... Wink Neutral

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PostPosted: Jun 14, 2005 12:14 pm    Post subject: Reply with quote

Sorry. Maybe I just think too much about this but you would also have to consider what happens when the other criminal gets out. Are they a vindictive type person who would want revenge for putting them in the slammer for 20 years while you're roaming freely. So even if you get off scott free you only really get 20 years of your life before he'll come back to get you.

I think I wouldn't confess.

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PostPosted: Jun 14, 2005 12:22 pm    Post subject: Reply with quote

Wakebrad, are you paying attention here?
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PostPosted: Jun 14, 2005 12:36 pm    Post subject: Reply with quote

wkebrd3, maybe I miss the point. But I treat this as if I was actually in that situation. In which case there are many more factors to be considered.

If the options were really that simple 0 or 5 if you confess and 1 or 20 if you don't then it's a simple choice to me: confess.

And yes that guy is a dumby wumby for not taking the $220.

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PostPosted: Jun 14, 2005 12:57 pm    Post subject: Reply with quote

wkebrd3,

Quote:
As you can see, the best outcome would be 2 years to total prison time.


I said that much. The point is that each prisoner would be stupid to not confess. Confessing makes his situation better no matter what the other person does. Also, remember that we're talking about criminals here and they can't make a plan. The problem also doesn't say that each on cares about the other. What if the other prisoner is your brother? Then, maybe you'd keep your mouth shut.

Wakebrad,

You just have to stick with the question at hand. We don't know what kind of people they are so introducing "what-ifs" makes a solution impossible. Just look at the problem, as presented. More years = bad. Fewer years = good.

muckmeister,

What are you talking about? B's? A's? You lost me.

lcap,

So, which is it? In one post, you seem to suggest that risking 20 years isn't a good idea then you suggest that striving for absolute victory (zero years...which turns out to be the only way to avoid risking 20 years) is a bad thing.

I think you may have picked a bad example to illustrate your point. With the prisoner, confessing is the only way to go. He benefits regardless of what the other guy does. There is absolutely no motivation for him to compromise. He needn't weigh the risks since there is no chance involved. Confessing is the only right answer. He can't lose.

Your situation (or that of the developer) is different in that one choice results in a possible win (1%) or a likely total loss(99%) while the other guarantees a partial win (100%). Unlike the prisoner, the reward or penalty of his choice depends on what you do. Here, he is taking 2-to-1 odds on a 99-to-1 bet. I hope he doesn't bet on horses.
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PostPosted: Jun 14, 2005 1:35 pm    Post subject: Reply with quote

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My developer situation is interesting to me because so few people realize that most of the time it's stupid to turn a situation into a zero sum game. Throughout life this mind set costs people much heartache, time and money.

This is a study on the prisoner scenario in game play:

Quote:
Many experiments have been done on the Prisoner's Dilemma, to try to gauge the normal human behavior in a prisoner's dilemma-type situation.

The Flood-Dresher Experiment was a prisoner's dilemma game run 100 times between 2 players. In this case, the game was unfair -- one of the players had an inherent advantage over the other player, but the payoff matrix layout was still a prisoner's dilemma. The following is the table used in the experiment. (In this case, the payoffs are positive, that is, each rational player seeks to maximize the value in the matrix cell he ends up in.)
As in the Prisoner's Dilemma, both players are better off defecting. But when both defect, they do relatively poorly. On the other hand, if both choose their "worse" strategy consistently, they should both gain.

In the 100 trials, Player 1 chose to cooperate 68 times, and Player 2 78 times. Player 1 began the game expecting both players to defect. Player 2 realized the value of cooperation and started cooperating. Both players started cooperating after the first 10 or so moves, though Player 1 would defect on a regular basis, unhappy that his payoff wasn't as big as Player 2's. This in turn brought retaliation from Player 2, who would defect on the next move.

Each player kept a log of comments for each move. Some of those comments are quite amusing. "The stinker," writes Player 2 after Player 1's defection. "He's a shady character... A shiftless individual--opportunist, knave... He can't stand success."

The players' comments reflect their concern about the final few moves. Both seem to realize that it would make sense for both to defect on move 100, since no retaliation from the other player is possible. Player 1 worries about starting to defect earlier than Player 2 so that he has the advantage. As the game was played, both players cooperated on moves 83 through 98. On move 99, Player 1 defected, and on move 100, both defected.

It is clear that the long-term prospect of the game encouraged cooperation. Since the game was played multiple times, it became beneficial for both players to cooperate. On move 100, however, the game suddenly becomes a regular prisoner's dilemma, and both players defect, as game theory advocates they should (although if they both cooperated they would ensure themselves a gain of 0.5 points).

This reasoning is troubling though. Since both players must realize that they will both defect on move 100, move 100 does not have to figure into the game. It can then be thought that move 99 is really the last move in the game, since both players are obviously going to defect on move 100. But if move 99 is the last move, both players should defect, since no retaliation is possible (both players will defect anyway on move 100, no matter what the other player did on move 99). So both players should defect on move 99 as well. Then, move 98 can be thought of as the last move in the game. This line of reasoning can be extended indefinitely until move 1. So should both players always defect?

Clearly not, since if they both cooperate, they will gain more than if both defect.

This paradox is still unresolved. William Poundstone, in Prisoner's Dilemma, says that "Both Flood and Dresher say they initially hoped that someone...would 'resolve' the prisoner's dilemma. They expected...someone to ...come up with a new and better theory of non-zero-sum games...The solution never came...The prisoner's dilemma remains a negative result--a demonstration of what's wrong with theory, and indeed, the world."
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PostPosted: Jun 14, 2005 1:43 pm    Post subject: Reply with quote

Now if you got through the study, here is a link to a website that lets you play the game to see if you should compete or cooperate:

http://serendip.brynmawr.edu/playground/pd.html

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PostPosted: Jun 14, 2005 2:34 pm    Post subject: Reply with quote

All this greed over $305? Buy the guy a ticket to disneyland and tell him to loosen up.
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PostPosted: Jun 14, 2005 3:01 pm    Post subject: Reply with quote

Tyler T,

I would but to see this Micky I'd need to add a comma and some zero's to the tab.

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PostPosted: Jun 14, 2005 4:36 pm    Post subject: Reply with quote

i wouldnt confess. i wouldnt want to buy an accomplice 20 years in jail even if i did go free. There use to be a game show on this topic a while ago. it was called friend or foe. teams of two would compete to win money then at the end they would choose to be a friend or a foe. if both went friend they split there earnings, if both went foe theyd take all the money, if one went foe and the other went friend, the foe would take all the money. to me it seemed like the best option would have been to go friend because if youre partner chooses foe you get no money no matter what and if they choose friend you can either take half the money are all. I'd rather not be a greedy door knob and hope that my partner was not a greedy door knob as well.
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