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University Researchers Create a Positive Externality Because What They Discover

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University researchers create a positive externality because what they discover in their research labs can easily be learned by others who haven't contributed to the research costs. Suppose that the federal government gives grants to these researchers equal to the their per-unit production externality. What is the relationship between the equilibrium quantity of university research and the socially optimal quantity of university research produced?


Definitions:

Common Stockholders

Owners of common stock in a corporation, who have voting rights and may receive dividends, but are typically last in line to receive assets in the event of liquidation.

Stockholders' Equity

The residual assets of a company that belong to the shareholders, calculated as total assets minus total liabilities.

Liabilities

Financial obligations or debts that a company owes to others, reflecting amounts that must be paid in the future.

Authorized Shares

The maximum number of shares a corporation is legally allowed to issue, as stipulated in its articles of incorporation.

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