Warren Buffett, the chairman and CEO of Berkshire Hathaway, is one of the world's most renowned investors, known for his value investing approach. Over the years, he has shared his stock selection criteria in letters to shareholders, interviews, and lectures. Here are some key criteria that Buffett often considers:

1. Understandable Business: Buffett emphasizes investing in businesses he understands. He often avoids companies in sectors he's not familiar with or finds too complex.

2. Durable Competitive Advantage: Often referred to as a company's "moat," this represents the unique advantage a company has over its competitors, which helps it protect its market share and profitability. This could be a strong brand, patents, economies of scale, or a unique business model.

3. Capable and Trustworthy Management: The quality of the people running the company is crucial. Buffett looks for leaders who are competent and run the business with integrity.

4. Attractive Price: Buffett is a value investor, which means he's looking to buy stocks at prices below their intrinsic value. He often uses the analogy of waiting for the "right pitch" in baseball—a stock at the right price.

5. Strong Return on Equity: Return on equity (ROE) is a measure of a company's profitability. Buffett often prefers companies that demonstrate a consistent and high ROE over time.

6. Low Debt: Companies with significant debt can be riskier, especially in economic downturns. Buffett typically looks for companies with manageable debt levels.

7. Good Profit Margins: Consistent and expanding profit margins can indicate a strong competitive position and efficient operations.

8. Simplicity: Buffett often leans towards businesses with straightforward, proven operations rather than those with complex structures or unproven business models.

9. Growth Prospects: While he values stability, Buffett also considers the potential for future growth in earnings and revenue.

10. Reinvestment Opportunities: Companies that can reinvest earnings at high rates of return can compound value for shareholders over time.

It's worth noting that Buffett's approach isn't purely formulaic. He combines quantitative measures with qualitative judgments about companies and their leadership. Additionally, while these principles have served Buffett well over the decades, every investor should develop an approach that fits their own understanding, goals, and risk tolerance.