Tragedy of the Commons Question on MATLAB

• Consider N=10 individuals using a public lake for fishing;
• At the beginning of each turn individuals decide on the number of fishing rods to use, s(i);
• At the end of each turn individuals receive f(i)=s(i).(1-Stot/400), where Stot is the total number of fishing rods used by all individuals and K=400 is the fishing capacity of the lake.

At the beginning of the each turns individuals choose s(i) as follows,

• Given previous turn's Stot, the individual considers if adding one more fishing rod would give him more fish, if f(y)=(s(i)+1).(1-(Stot+1)/400)>f(i), individual uses in the next turn s(i)+1 fishing rods,otherwise s(i) kept constant.

How can I write a program to simulate the above situation for T=100 turns, starting with s(i)=0?

And how can plot individuals' fishing results f(i) as function of time?

[John D'Errico]

You plot using plot. MAKE AN EFFORT rather than just posting your homework.

http://www.mathworks.com/matlabcentral/answers/6200-tutorial-how-to-ask-a-question-on-answers-and-get-a-fast-answer