In the House of Representatives, which of the following items can be accepted as a gift?

In the context of the House of Representatives, the rules governing the acceptance of gifts by members are quite strict. Gifts are generally prohibited but allow for certain exceptions. Among the options provided, hats can be accepted as they are typically considered modest and do not carry significant value that could influence a member's official duties.

Meals, entertainment tickets, and cash donations often fall outside of acceptable gifts due to their potential for creating conflicts of interest or influencing the members in their legislative roles. For example, meals and entertainment can easily be seen as excessive and could lead to undue influence, while cash donations are explicitly prohibited to maintain ethical standards. The rules are designed to ensure transparency and prevent corruption, so choosing something like a hat, which generally has low monetary value and is more of a token gesture, aligns with these guidelines. Therefore, hats are the only option that can be generally accepted without raising ethical concerns in the House of Representatives.