Get Post Tags in Dropdown

I have a function that displays the current posts tags in a dropdown that opens the category page onselect. However, I thought the code would also work for tags, but for some reason it does not. Here is the category dropdown code.

function drop_cats()
{
    echo "<select onChange=\"document.location.href=this.options[this.selectedIndex].value;\">";
    echo "<option>Categories</option>\n";
    foreach (get_the_category() as $cat)
    {
        echo "<option value=\"";
        echo get_category_link($cat->cat_ID);
        echo "\">".$cat->cat_name."</option>\n";
    }
    echo "</select>";
}

Here is my attempt at the tags one, but no go.

function drop_tags()
{
    echo "<select onChange=\"document.location.href=this.options[this.selectedIndex].value;\">";
    echo "<option>Tags</option>\n";
    foreach (get_the_tags() as $tag)
    {
        echo "<option value=\"";
        echo get_tag_link($tag->tag_ID);
        echo "\">".$cat->cat_name."</option>\n";
    }
    echo "</select>";
}