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Rules for RatMarket

The future is an apocalyptic wasteland.  The main source of meat humans find to consume is that of rats.  Your goal is to play the market and buy and sell rats. You and your opponent compete by buying and selling rat holdings.  Every turn there will be market prices to buy and sell rats, as well as a "rat bucket" that players bid on.  The rat bucket is initialized as a number between 1 and 10.  A rat is added to it after every turn.

First player to $1000 wins.

Example:

Alice and Bob flip a coin.  Alice wins, and will take the first turn.

**********Turn 1: Alice begins***********
  
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Alice has $200 and 0 rats.
Bob has $200 and 0 rats.
The market price of a rat is $2.
There is no market history.
The rat bucket has been in play for 0 turns.
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Alice, would you like to buy the rat bucket, buy rats, sell rats, or end your turn?  Example: "buy 5" or "Sell 2" or "done" or "buy rat bucket"
buy 4
***Alice buys 4 rats at a price of $8.***

Alice, would you like to buy the rat bucket, buy rats, sell rats, or end your turn?  Example: "buy 5" or "Sell 2" or "done" or "buy rat bucket"
done

----------------------------
Alice has $192 and 4 rats.
Bob has $200 and 0 rats.
The market price of a rat is $2.
There is no market history.
The rat bucket has been in play for 0 turns.
----------------------------

Bob, would you like to buy the rat bucket, buy rats, sell rats, or end your turn?  Example: "buy 5" or "Sell 2" or "done" or "buy rat bucket"
Buy 10
***Bob buys 10 rats at a price of $20.***

Bob, would you like to buy the rat bucket, buy rats, sell rats, or end your turn?  Example: "buy 5" or "Sell 2" or "done" or "buy rat bucket"
done

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
A RAT IS ADDED TO THE RAT BUCKET
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

**********Turn 2: Bob begins***********  

----------------------------
Alice has $192 and 2 rats.
Bob has $180 and 10 rats.
The market price of a rat is $5.
Market History: $2 ^ $5
The rat bucket has been in play for 1 turns.
----------------------------

Alice, would you like to buy the rat bucket, buy rats, sell rats, or end your turn?  Example: "buy 5" or "Sell 2" or "done" or "buy rat bucket"
Sell 3

***Alice sells 3 rats at a price of $15.***

Alice, would you like to buy the rat bucket, buy rats, sell rats, or end your turn?  Example: "buy 5" or "Sell 2" or "done" or "buy rat bucket"
done

Alice has $207 and 1 rats.
Bob has $180 and 10 rats.

----------------------------
The market price of a rat is $5.
Market History: $2 ^ $5
The rat bucket has been in play for 1 turns.
----------------------------

Bob, would you like to buy the rat bucket, buy rats, sell rats, or end your turn?  Example: "buy 5" or "Sell 2" or "done" or "buy rat bucket"
Buy 10

***Bob buys 10 rats at a price of $20.***

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
A RAT IS ADDED TO THE RAT BUCKET
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

<etc.  Continue until someone has $1000.>