Practice Sheet for Game Theory of Bitcoin Pricing
Question 1
A and B are involved in Bitcoin mining. If both choose to mine, then the reward is split equally between them. If one of them chooses not to mine, then the other receives the entire reward. If neither mines, there is no reward. Which of the following represents the dominant strategy for A?
Question 2
In a market for Bitcoin, there are many buyers and sellers. In general, buyers are willing to pay more for a Bitcoin when there are fewer available in the market. Sellers are willing to accept less for a Bitcoin when there are many other sellers offering Bitcoins. What kind of market is this?
Question 3
In a two-person bitcoin game, player 1 must decide whether to buy or sell to maximize his/her expected payoff. Player 2 has no control over the market and can only match player 1’s choice. If player 1 chooses to buy and player 2 matches, player 1 gains 2 bitcoins and player 2 gains 1 bitcoin. If player 1 chooses to sell and player 2 matches, player 1 gains 1 bitcoin and player 2 gains 2 bitcoins. If the expectations are different, player 1 will choose to trade in the direction that his/her expectation is closest to. What kind of game is this?
Question 4
In the bitcoin market, there are two types of traders - fundamentalists and trend followers. Fundamentalists rely on market data, such as trading volumes and news articles, to make decisions. Trend followers base their decisions on market trends and previous price movements, ignoring market data. If the price of Bitcoin starts to fall, what do you think would happen in this market in the short term?
Question 5
When determining the price of Bitcoin, the marginal cost of production is a key input. What is the marginal cost of production in the context of Bitcoin?
Question 6
What factors can affect the price of Bitcoin in the short term?
Question 7
If a market is perfectly competitive, what is the role of each participant in determining the price of Bitcoin?
Question 8
In a bitcoin market, how do emotions such as fear and greed affect the price?
Question 9
In a market where there is a large spread between the highest buying price and the lowest selling price, what can you infer about the market?
Question 10
In the bitcoin market, what is the difference between a limit order and a market order?