I have checkbox inputs like so:

<input type="submit" value="One" id="one" />
<input type="submit" value="Two" id="two" />

Say they are both checked.. How would I send those values through the code below properly?

$('#submit').click(function(){
    value = $('input:checked'); // not sure how to collect all checkbox values here so they can be sent..
    $.get('/file.php', {
        action: 'update',
        value: value
    }, function (html) {
        $("#display").html(html);
    });
});