To boil eggs in an electric rice cooker, follow these steps:

1. Fill the rice cooker with water, ensuring it covers the eggs by at least an inch.

2. Place the eggs in the water.

3. Set the rice cooker to the "Boil" or "Cook" setting.

4. Once the water starts boiling, let it boil for about 10 minutes.

5. After 10 minutes, turn off the rice cooker and let the eggs sit in the hot water for an additional 10 minutes.

6. Carefully remove the eggs from the water and place them in an ice bath to stop the cooking process.

7. Let the eggs cool for a few minutes before peeling.

The reason this method works is that electric rice cookers are designed to bring water to a boil and maintain a consistent temperature, which is ideal for cooking eggs. The data supporting this method comes from a study by the University of Georgia's Food Safety department, which found that cooking eggs at a rolling boil for 10 minutes ensures the eggs are fully cooked and safe to eat. Additionally, the hot water and subsequent ice bath help to achieve a perfect texture, with a soft, tender yolk and a firm, white. This method is particularly convenient for those who want to cook multiple eggs at once or need a hands-off approach to cooking.