They found two solutions for the Peter Principle.
Solving the Peter Principle? One Word: "Darts"By Paul Kedrosky · Friday, July 3, 2009 ·
There is a fun new working paper out from some Italian scientists that models the Peter Principle. The principle says, of course, that people climb in an organization until they reach their level of maximum incompetence.
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The authors simulated the preceding in a pyramidal organizational form using a mathematical agent model. Here is the outcome:
Here we show, by means of agent based simulations, that if the (above two conditions) actually hold in a given model of an organization with a hierarchical structure, then not only the "Peter principle" is unavoidable, but it yields in turn a significant reduction of the global efficiency of the organization.
...the best strategies to improve, or at least not to diminish, the efficiency of an organization, when one ignores the actual way of competence transmission, are those of promoting an agent at random or of randomly alternating the promotion of the best and the worst members. We think that these results could be useful to guide the management of large real hierarchical systems of different nature and in different fields.
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Here's the paper: