Consider a simple opportunity for trade: You are renting a new condo and the previous tenant offers to sell her old couch. You are the sole buyer and you have a willingness to pay of $ 190. The previous tenant is the sole seller and has a willingness to accept of $ 110. Assuming you and the previous tenant arrive at a mutually beneficial agreement, the social surplus will be $ nothing . Suppose the condo association imposes a tax of $ 60 (i.e., a tax) for each item left in the condo during the move-in/move-out. Given the information, the social surplus after the imposition of the tax will ▼ remain unchanged increase decrease . Suppose the fee were raised to $ 100. In this case, the social surplus will ▼ increase fall to zero remain unchanged and the deadweight loss will be $ ▼ 80 50 0 .
In the first case, the bargain price will lie between the willingness to pay and the willingness to accept. This indicates that the total social surplus will be the difference between $190 and $110 which is $80.
Now that a tax is imposed which is worth $60. This indicates that the willingness to pay will still be $190 but the willingness to accept is now increased due to tax. Thus, social surplus will decrease
Now the tax is increased to $100. This will eliminate all the bargaining benefits so that now the social surplus falls to zero is there is no transaction taking place. This results in a dead weight loss of $80.
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