Whiteness
can be defined, and
is defined all the time - there just isn't a standard, official definition. The definitions are local, political, personal, partisan, etc.
People define things that matter to them, not according to strict scientific rules, but according to their perceptions, beliefs, loyalties, experience and cultural tradition.
They are also influenced, and often completely taken in, by whatever propaganda they've been exposed to.
Thus, people act upon principles and motivations that are unrelated to objective fact or rational logic.
It is the collective actions of a society that determine how status, privilege, entitlement, benefits and effectiveness are apportioned among its constituent groups.
As regards hypothetical nations, nothing can be discussed reasonably without an outline of its hypothetical history.
The same holds true of actual nations and their factual history.
-- Updated May 16th, 2017, 12:27 pm to add the following --
Burning ghost wrote:
"Privilege" is often blind to those that have it. Being born in the Western world there are numerous privileges I have received that others have not. I have very little experience of living on the streets, or not having enough money to eat.
Plenty of North Americans do have that experience. The structure of societal privilege isn't confined to two clearly specified groups: it has many facets, levels and components.
It also has several main contributing factors, with roots in a given culture and history. The structure of privilege won't be exactly identical in any two nations, nor even uniform through a single nation. It may be relatively simple in, say, Monaco; in a large and diverse nation, it becomes more complex; in a federation of colonial states, it's
far more complex.
This is because the society I was brought up in is more "privileged" in many respects compared to say North Korea. Note I do not necessarily see "privilege" as "better". There are some so called 'privileges" in society that I believe do more harm than good to human society.
Geographical and international privilege is a different and larger structure than the one that operates inside the borders of each particular nation. International privilege is a product of historical relationships among nations: past conquest, trade, conflict, migrations; recent and current economic and political relations. It would be very difficult to compare the status of a citizen of one country to a citizen of a very different country. Could be done, i suppose, but you'd have to identify a set of common markers according to which both specimens were chosen.
For purposes of a discussion that includes race, it's probably more useful to stick with citizens of a single nation.
Designate a set of markers, choose the two groups from which the specimens are selected, establish a time-frame and standard criteria, then compare statistical data on as large a sample of both groups as possible. Then you can put the numbers on a chart.