The Kendo.UI DatePicker uses the following default date time format: MM/dd/yyyy h:mm tt
So you just need to change it with the format
option:
<input data-bind="kendoDatePicker: { value: bigday, format: 'yyyy-MM-dd' }" />
Demo JSFiddle.
Note that there is also a parseFormats which you can use if you want to parse your dates in one format but display them in a different format.