From the paper: 2. A lucky event intercepts the position of agent Ak: this means that a lucky event has occurred during the last six month; as a consequence, a

From the paper: 2. A lucky event intercepts the position of agent Ak: this means that a lucky event has occurred during the last six month; as a consequence, agent Ak doubles her capital/success with a probability proportional to her talent Tk. It will be Ck(t) = 2Ck(t − 1) only if rand[0, 1] < Tk, i.e. if the agent is smart enough to profit from his/her luck. 3. An unlucky event intercepts the position of agent Ak: this means that an unlucky event has occurred during the last six month; as a consequence, agent Ak halves her capital/success, i.e. Ck(t) = Ck(t − 1)/2. Note that the equation for lucky events includes talent, but unlucky events do not.