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Table 1 Description of the notation in the evolutionary game theory

From: An analysis of protesting activity and trauma through mathematical and statistical models

Notation

Description

\(u_1(t)\)

Total number of disruptive demonstrators at time t

\(u_2(t)\)

Total number of moderates at time t

p(t)

Total number of police at time t

\(v_1(t)\)

Total number of protester AofA at time t

\(v_2(t)\)

Total number of police AofA at time t

\(\tau (t)\)

Social tension level at time t, sometimes denoted \(\tau\)

\(\tau _c\)

Critical tension needed for disruptive demonstrators to become violent

\(v_c\)

Number of AofA perpetrated by protesters for police to engage

\(T_1\)

Probability modulators of the number of AofA of protesters

\(T_1\)

Probability modulators of the number of AofA of police

\(\epsilon\)

Exit rate of protesters

\(\omega\)

Rate of decrease of tension

\(\theta\)

Increase of tension per act of violence