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Yes.
Dissipation of rent asserts that potential rent is not captured in a partial model in which private property right are abscent or attenuated.
In price competition, to acquire a good, a person has to pay a cost in the form of a market price. What he pays becomes the income of the seller, the cost ( rent ) in competition is not dissipated.
For example, a seller sells an apple which he has private property right on it. A buyer who has the highest marginal value to that apple, so he is willing to pay the maximum amount of the apple.What the seller pays is the income of the seller. The money that the buyer pays involve production, so there is no rent dissipation.
Non-price competition, resources are diverted from the production of goods to non-productive uses. As no one can capture the value of the resources spent on these activities, the cost( rent ) in competition is dissipated.
For example, person A and B fight for an apple which is sold by a seller who has private property right on it. However, there is not any production behind the fight. No one can capture the value of an apple spent on the fight, the cost ( rent) is dissipated.
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