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 April 20th, 2015, 02:27 AM #1 Newbie   Joined: Apr 2015 From: Milan Posts: 1 Thanks: 0 How can I normalize a vector to sum to a certain value? Dear all, I have been reading the discussions posted on this forum and it has been very helpful, many thanks for that..!!! I am trying to reproduce the results of the paper: Designing human agents that act like human agents: A Behavioural approach to bounded rationality by W.Brian Arthur (1991). On page 354 of this paper four points are mentioned, my doubt is limited to the 4th point. I can not understand how to calculate the 4th point. For the sake of convenience I will write the entire 4th point preceded by the previous 3 points. PROBLEM DESCRIPTION: Set of N actions exist, from 1 to N. A vector of strength S_t is associated with every action at every time 't'. The current sum of these strength is C_t (the component sum of S_t) and the initial vector S_0 is strictly positive. The probability p_t represents the agent's probablities of taking actions 1 through N at time t. At each time t, the agent: 1. Calculates the probablity vector as the relative strengths associated with each action. It sets, p_t = (S_t/C_t) 2. Chooses one action from the set according to the probablities p_t and trigger that action. 3. Observes the payoff received and updates strengths by adding the chosen action j's payoffs to action j's strength. That is, where action j is chosen, it sets the strength to S_t + beta. Where, beta = payoff(j)*e_j (e_j is the jth unit vector) 4. Renormalizes the strengths to sum to a value from a prechosen time sequence. In this case, it renormalizes strength to sum to C_t = C*t. (Where t could also be raised to a value v) QUESTION: I dont understand how to renormalize the strength to a sum ? I have read: http://en.wikipedia.org/wiki/Normalization_(statistics) and every page it pointed me towards but no luck. I am really stuck with this and will appreciate any help..thanks a ton..!!! Tags normalize, sum, vector Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post victoriastuart Linear Algebra 4 June 2nd, 2013 07:43 AM 71GA Algebra 1 June 3rd, 2012 01:20 PM babarorhum Algebra 0 October 20th, 2011 03:53 PM MasterOfDisaster Calculus 2 September 26th, 2011 09:17 AM tsa256 Algebra 3 August 20th, 2010 07:33 AM

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