Best practice to return errors in ASP.NET Web API

I have concerns on the way that we returns errors to client.

Do we return error immediately by throwing HttpResponseException when we get an error:

public void Post(Customer customer)
{
    if (string.IsNullOrEmpty(customer.Name))
    {
        throw new HttpResponseException("Customer Name cannot be empty", HttpStatusCode.BadRequest) 
    }
    if (customer.Accounts.Count == 0)
    {
         throw new HttpResponseException("Customer does not have any account", HttpStatusCode.BadRequest) 
    }
}

Or we accumulate all errors then send back to client:

public void Post(Customer customer)
{
    List<string> errors = new List<string>();
    if (string.IsNullOrEmpty(customer.Name))
    {
        errors.Add("Customer Name cannot be empty"); 
    }
    if (customer.Accounts.Count == 0)
    {
         errors.Add("Customer does not have any account"); 
    }
    var responseMessage = new HttpResponseMessage<List<string>>(errors, HttpStatusCode.BadRequest);
    throw new HttpResponseException(responseMessage);
}

This is just a sample code, it does not matter either validation errors or server error, I just would like to know the best practice, the pros and cons of each approach.