MATLAB Question Simulate 10,000 trading interactions of 100 people trading between each other. Interactions are random...

MATLAB Question

Simulate 10,000 trading interactions of 100 people trading between each other. Interactions are random and between 2 randomly chosen people. Each person starts with $100. In each interaction one person makes $1 and the other loses $1 with 50% chance. Find the distribution of wealth (money per person) after 10,000 trading interactions.

Solutions

Expert Solution

Hello,
Please find the answer attached as under. Please give a thumbs up rating if you find the answer useful! Have a rocking day ahead!

************ Matlab Coding ***********

%% 100 people with 100 dollars each
money = 100*ones(1,100);
%% generating random pair of people for trading
n = 10000;
person1 = randi([1 100],1,n);
person2 = randi([1 100],1,n);
%% picking 1 person to win, at random, between person 1 and person 2
win = randi([1 2],1,n);
%% playing the game
for i=1:n
    p1 = person1(i);
    p2 = person2(i);
    if(win(i)==1)
        money(p1) = money(p1) + 1;
        money(p2) = money(p2) - 1;
    else
        money(p1) = money(p1) - 1;
        money(p2) = money(p2) + 1;
    end
end
%% plotting the distribution
histogram(money);xlabel('Money');ylabel('Frequency');
title('Distribution of money after 10,000 tradings')

********** Output ************

*****************************************************************
PS: Please do not forget the thumbs up!

Manojponduru answered 10 months ago

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