Computational Intelligence and Neuroscience

Research Article

Stabilization Methods for a Multiagent System with Complex Behaviours

Hybrid test for stability.

procedure HybridStabilityTest
input: agents: the list of agents with a history of their internal models and utility function values; modelDifference: the difference
between the best social model outcome and the second best social model outcome
output: stability (true or false) and the period of the overall behaviour if the system is stable
begin
for each agent in agents do
if not PeriodicModel() then // internal perspective
return (false, 0)
end if
if not PeriodicUtility() then // external perspective
return (false, 0)
end if
for all time steps in the interaction history of agent do
if modelDifference(, ) − modelDifference(, ) < 0 then
return (false, 0)
end if
end for
end for
periodList = empty list
for each agent in agents do
add modelPeriod() to periodList
add utilityPeriod() to periodList
end for
lcm = least common multiple of elements in periodList
return (true, lcm)
end procedure