<!DOCTYPE HTML>
<html>
<head>
<title>Untitled</title>
<meta charset="utf-8">
<script src="http://ajax.googleapis.com/ajax/libs/jquery/1.11.0/jquery.min.js"></script>
</head>
<body>
<form action="" method="post">
<select name="city">
<option disabled="" selected="selected">Выберите Город</option>
<option value="2">Абакан</option>
<option value="3">Барнаул</option>
</select>
<br>
<button name="first">ПЕРВЫЙ</buton>
<button name="second">ВТОРОЙ</buton>
</form>
<script>
$('form').find('button').on('click', function (e) {
e.preventDefault();
alert(this.name);
});
</script>
</body>
</html>