One example (more details at the link):
Twenty years ago, nearly all civil servants in the central government
of OECD member countries were paid according to service-incremental
salary scales. This is not to say that civil servants previously
lacked performance incentives. Promotions, and especially those into
senior management, were rigorously controlled, serving partly as an
incentive but partly also as a way of ensuring the independence of the
public service with regard to the executive and thus its ability to
serve governments of different political persuasions. However,
socio-economic pressures have led to the need for types of incentives
other than “promotion” to strengthen performance management.
Remuneration has been seen as an alternative or a complementary
incentive to promotion.
By the turn of the millennium, significant numbers of civil servants
were covered by performance related pay (PRP) schemes of one kind or
another in most OECD member countries, particularly senior managers,
but increasingly also non-managerial employees. The introduction of
performance pay policies occurred in the context of the economic and
budgetary difficulties faced by OECD member countries from the
mid-1970s. Reasons for introducing PRP are multiple, but focus
essentially on improving the individual motivation and accountability
of civil servants as a way to improve performance. PRP is seen as a
signal of change for civil servants and as a way of indicating to
citizens that performance is regularly assessed in public
administration.
The details of how this works in the civil service of the EU is described here.
I would call it a management practice, rather than a "theory of organizational design" but this seems to be the kind of thing that the OP is looking for in the question.
political-theory
tag and I think this is on-topic here. You could also ask a different but related question in Project Management SE.