Had the same issue.
Basically the problem is in this file:
C:\Program Files\wamp\www\booking\administrator\components\com_booking\helpers\booking.php
in this function:
function getWeekCalendar(&$subject, &$setting, $count = 'week', $isAdmin = false, $rids = null)
You need to replace the following lines:
this:
$setting->defaultYear = $setting->currentYear = (int) $current->format('Y');
with this:
$setting->defaultYear = $setting->currentYear = (int) $current->format('o');
this:
$setting->current = $current->format('Y-W');
with this:
$setting->current = $current->format('o-W');
this:
$setting->selected = $selected->format('Y-W');
with this:
$setting->selected = $selected->format('o-W');
this:
$setting->lastAllowYear = (int) $lastAllow->format('Y');
with this:
$setting->lastAllowYear = (int) $lastAllow->format('o');
this:
$setting->lastAllow = $lastAllow->format('Y-W');
with this:
$setting->lastAllow = $lastAllow->format('o-W');
this:
$setting->previousYear = (int) $last->format('Y');
with this:
$setting->previousYear = (int) $last->format('o');
Basically, you change the 'Y' format to the 'o' format. It gets the proper year if the current week is not from the current year.
o ISO-8601 year number. This has the same value as Y, except that if the ISO week number (W) belongs to the previous or next year, that year is used instead. (added in PHP 5.1.0)
I hope that helps somebody. The developer should say their final word on this, of course.