Pl. Sacco, DEFEATING THE GANG - THE SOCIAL DYNAMICS OF COMPLIANCE IN A RAKE-OFF ECONOMY, The Journal of mathematical sociology, 22(3), 1997, pp. 221-262
This paper studies the optimal State support policy for an economy of
retailers in which there is a criminal organization (called the Gang)
that tries to enforce a rake-off scheme via punishment of reluctant re
tailers. The State aims at reducing the cost of reluctance through a s
uitable support policy (protection and insurance against physical dama
ge) in order to undermine the Gang's threatening power and eventually
to defeat it. Optimal support policies are determined for various rake
-off schemes under the assumption that retailers tend to abandon expen
sive strategies for cheaper ones.