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Social_wealth_distribution.html
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<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
<html><head><meta http-equiv="Content-Type" content="text/html; charset=utf-8"><meta http-equiv="X-UA-Compatible" content="IE=edge,IE=9,chrome=1"><meta name="generator" content="MATLAB R2018b"><title>Chapter 5 Simulation</title><style type="text/css">.rtcContent { padding: 30px; } .S0 { margin: 3px 10px 5px 4px; padding: 0px; line-height: 28.7999992370605px; min-height: 0px; white-space: pre-wrap; color: rgb(213, 80, 0); font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 24px; font-weight: normal; text-align: left; }
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.S9 { border-left: 0.833333313465118px solid rgb(233, 233, 233); border-right: 0.833333313465118px solid rgb(233, 233, 233); border-top: 0.833333313465118px solid rgb(233, 233, 233); border-bottom: 0.833333313465118px solid rgb(233, 233, 233); border-radius: 4px 4px 0px 0px; padding: 6px 45px 4px 13px; line-height: 17.234001159668px; min-height: 18px; white-space: nowrap; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, 'Courier New', monospace; font-size: 14px; }
.S10 { margin: 3px 10px 5px 4px; padding: 0px; line-height: 18px; min-height: 0px; white-space: pre-wrap; color: rgb(60, 60, 60); font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14.9999990463257px; font-weight: bold; text-align: left; }</style></head><body><div class = rtcContent><h1 class = 'S0'><span>Chapter 5 Simulation</span></h1><h4 class = 'S1'><span>Additional example: Social wealth distribution</span></h4><div class = 'S2'><span>Suppose that: </span><span> </span></div><ol class = 'S3'><li class = 'S4'><span>There are 100 people in a room. </span></li><li class = 'S4'><span>Everyone has $100 at the beginning. </span></li><li class = 'S4'><span>For each person, he/she will </span><span style=' font-style: italic;'>randomly </span><span>give another person (in the room, can be him/herself) </span><span>$</span><span>1 per minute.</span></li></ol><div class = 'S2'><span>Several assumptions: </span></div><ol class = 'S3'><li class = 'S4'><span>Assume that we can generate a set of random integers from 1 to 100 in </span><span style=' font-family: monospace;'>MATLAB</span><span>.</span></li><li class = 'S4'><span>The distributed result for each person is independent. </span></li><li class = 'S4'><span>It is allowed that one may have debt. </span></li></ol><div class = 'S2'><span style=' font-weight: bold;'>Question: </span><span>What is the long-term distribution of the wealth? </span></div><div class = 'S2'><span>First, we simulate the problem in </span><span style=' font-family: monospace;'>MATLAB</span><span>.</span></div><div class="CodeBlock"><div class="inlineWrapper"><div class = 'S5'><span style="white-space: pre;"><span style="color: rgb(34, 139, 34);">% Social wealth distribution</span></span></div></div><div class="inlineWrapper"><div class = 'S6'></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>clear;</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>No_player = 100;</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>player = 1:No_player;</span></span></div></div><div class="inlineWrapper"><div class = 'S6'></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>Money_initial = 100;</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>p_money = Money_initial*ones(1,No_player);</span></span></div></div><div class="inlineWrapper"><div class = 'S6'></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>max_iter = 10000;</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>figure(1);</span></span></div></div><div class="inlineWrapper"><div class = 'S6'></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span style="color: rgb(0, 0, 255);">for </span><span>i = 1:max_iter</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span> To_give = ceil((No_player).*rand(1,No_player));</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span> </span><span style="color: rgb(0, 0, 255);">for </span><span>j = 1:No_player</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span> p_money(j) = p_money(j) - 1;</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span> p_money(To_give(j)) = p_money(To_give(j)) +1;</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span> </span><span style="color: rgb(0, 0, 255);">end</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span style="color: rgb(34, 139, 34);">% subplot(2,1,1);</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span style="color: rgb(34, 139, 34);">% bar(p_money);</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span style="color: rgb(34, 139, 34);">% str_1 = ['Social wealth distribution after ', num2str(i), ' miniutes.'];</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span style="color: rgb(34, 139, 34);">% title(str_1);</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span style="color: rgb(34, 139, 34);">% xlabel('Player');</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span style="color: rgb(34, 139, 34);">% ylabel('Personal wealth');</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span style="color: rgb(34, 139, 34);">% axis([0 100 -200 200]);</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span style="color: rgb(34, 139, 34);">% subplot(2,1,2);</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span style="color: rgb(34, 139, 34);">% bar(sort(p_money),'r');</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span style="color: rgb(34, 139, 34);">% str_2 = ['Social wealth distribution after ', num2str(i), ' miniutes. (Sorted)'];</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span style="color: rgb(34, 139, 34);">% title(str_2);</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span style="color: rgb(34, 139, 34);">% xlabel('Player');</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span style="color: rgb(34, 139, 34);">% ylabel('Personal wealth');</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span style="color: rgb(34, 139, 34);">% axis([0 100 -200 200]);</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span style="color: rgb(34, 139, 34);">% pause(0.001);</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span style="color: rgb(0, 0, 255);">end</span></span></div></div><div class="inlineWrapper"><div class = 'S6'></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span> subplot(2,1,1);</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span> bar(p_money);</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span> str_1 = [</span><span style="color: rgb(160, 32, 240);">'Social wealth distribution after '</span><span>, num2str(i), </span><span style="color: rgb(160, 32, 240);">' miniutes.'</span><span>];</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span> title(str_1);</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span> xlabel(</span><span style="color: rgb(160, 32, 240);">'Player'</span><span>);</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span> ylabel(</span><span style="color: rgb(160, 32, 240);">'Personal wealth'</span><span>);</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span> axis([0 100 min(p_money)-10 max(p_money)+10]);</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span> subplot(2,1,2);</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span> bar(sort(p_money),</span><span style="color: rgb(160, 32, 240);">'r'</span><span>);</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span> str_2 = [</span><span style="color: rgb(160, 32, 240);">'Social wealth distribution after '</span><span>, num2str(i), </span><span style="color: rgb(160, 32, 240);">' miniutes. (Sorted)'</span><span>];</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span> title(str_2);</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span> xlabel(</span><span style="color: rgb(160, 32, 240);">'Player'</span><span>);</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span> ylabel(</span><span style="color: rgb(160, 32, 240);">'Personal wealth'</span><span>);</span></span></div></div><div class="inlineWrapper outputs"><div class = 'S7'><span style="white-space: pre;"><span> axis([0 100 min(p_money)-10 max(p_money)+10]);</span></span></div><div class = 'S8'><div class="inlineElement eoOutputWrapper embeddedOutputsFigure" uid="A59DA098" data-scroll-top="null" data-scroll-left="null" data-testid="output_0" style="width: 911px;"><div class="figureElement"><div class="figureContainingNode" style="width: 560px; max-width: 100%; display: inline-block;"><div class="GraphicsView" data-dojo-attach-point="graphicsViewNode,backgroundColorNode" id="uniqName_197_6" widgetid="uniqName_197_6" style="width: 100%; height: auto;"><img class="ImageView figureImage" data-dojo-attach-point="imageViewNode" draggable="false" ondragstart="return false;" id="uniqName_197_8" widgetid="uniqName_197_8" 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" style="width: 100%; height: auto;"></div></div></div></div></div></div></div><div class = 'S2'><span>Next, we learn several things from the result of simulation:</span></div><ul class = 'S3'><li class = 'S4'><span>If one has more than $100 finally, refer him/her to be a rich person. The ratio of the rich can be calculated as follows.</span></li></ul><div class="CodeBlock"><div class="inlineWrapper outputs"><div class = 'S9'><span style="white-space: pre;"><span>Ratio_of_rich = (sum(p_money>100))/100</span></span></div><div class = 'S8'><div class='variableElement' style='font-family: Menlo, Monaco, Consolas, "Courier New", monospace; font-size: 12px; '>Ratio_of_rich = 0.4800</div></div></div></div><ul class = 'S3'><li class = 'S4'><span>The first 20% richest people have nearly 45% of total wealth.</span></li></ul><div class="CodeBlock"><div class="inlineWrapper"><div class = 'S5'><span style="white-space: pre;"><span>p = sort(p_money,</span><span style="color: rgb(160, 32, 240);">'descend'</span><span>);</span></span></div></div><div class="inlineWrapper outputs"><div class = 'S7'><span style="white-space: pre;"><span>twenty_richest = sum(p(1:20))/(10000)</span></span></div><div class = 'S8'><div class='variableElement' style='font-family: Menlo, Monaco, Consolas, "Courier New", monospace; font-size: 12px; '>twenty_richest = 0.4556</div></div></div></div><ul class = 'S3'><li class = 'S4'><span>The first 10% richest people have nearly 25% of total wealth.</span></li></ul><div class="CodeBlock"><div class="inlineWrapper outputs"><div class = 'S9'><span style="white-space: pre;"><span>ten_richest = sum(p(1:10))/(10000)</span></span></div><div class = 'S8'><div class='variableElement' style='font-family: Menlo, Monaco, Consolas, "Courier New", monospace; font-size: 12px; '>ten_richest = 0.2593</div></div></div></div><ul class = 'S3'><li class = 'S4'><span>13 people go bankrupt.</span></li></ul><div class="CodeBlock"><div class="inlineWrapper outputs"><div class = 'S9'><span style="white-space: pre;"><span>bankrup_no = sum(p<=0)</span></span></div><div class = 'S8'><div class='variableElement' style='font-family: Menlo, Monaco, Consolas, "Courier New", monospace; font-size: 12px; '>bankrup_no = 13</div></div></div></div><h4 class = 'S10'><span>Extensions:</span></h4><ol class = 'S3'><li class = 'S4'><span>How does the wealth distribution change if one is not allowed to have debt? That is, one may not give people money if he/she has no money, but he/she can receive from others.</span></li><li class = 'S4'><span>Are the initial money and number of people crucial in this example?</span></li><li class = 'S4'><span>Is there an explanation of the result above from the point of view of sociology?</span></li><li class = 'S4'><span>Is there a theoretical formula for the social wealth distribution?</span></li></ol><div class = 'S2'><span></span></div><div class = 'S2'><span> </span></div></div><br>
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##### SOURCE BEGIN #####
%% Chapter 5 Simulation
%% Additional example: Social wealth distribution
% Suppose that:
%
% # There are 100 people in a room.
% # Everyone has $100 at the beginning.
% # For each person, he/she will _randomly _give another person (in the room,
% can be him/herself) $1 per minute.
%
% Several assumptions:
%
% # Assume that we can generate a set of random integers from 1 to 100 in |MATLAB|.
% # The distributed result for each person is independent.
% # It is allowed that one may have debt.
%
% *Question: *What is the long-term distribution of the wealth?
%
% First, we simulate the problem in |MATLAB|.
% Social wealth distribution
clear;
No_player = 100;
player = 1:No_player;
Money_initial = 100;
p_money = Money_initial*ones(1,No_player);
max_iter = 10000;
figure(1);
for i = 1:max_iter
To_give = ceil((No_player).*rand(1,No_player));
for j = 1:No_player
p_money(j) = p_money(j) - 1;
p_money(To_give(j)) = p_money(To_give(j)) +1;
end
% subplot(2,1,1);
% bar(p_money);
% str_1 = ['Social wealth distribution after ', num2str(i), ' miniutes.'];
% title(str_1);
% xlabel('Player');
% ylabel('Personal wealth');
% axis([0 100 -200 200]);
% subplot(2,1,2);
% bar(sort(p_money),'r');
% str_2 = ['Social wealth distribution after ', num2str(i), ' miniutes. (Sorted)'];
% title(str_2);
% xlabel('Player');
% ylabel('Personal wealth');
% axis([0 100 -200 200]);
% pause(0.001);
end
subplot(2,1,1);
bar(p_money);
str_1 = ['Social wealth distribution after ', num2str(i), ' miniutes.'];
title(str_1);
xlabel('Player');
ylabel('Personal wealth');
axis([0 100 min(p_money)-10 max(p_money)+10]);
subplot(2,1,2);
bar(sort(p_money),'r');
str_2 = ['Social wealth distribution after ', num2str(i), ' miniutes. (Sorted)'];
title(str_2);
xlabel('Player');
ylabel('Personal wealth');
axis([0 100 min(p_money)-10 max(p_money)+10]);
%%
% Next, we learn several things from the result of simulation:
%
% * If one has more than $100 finally, refer him/her to be a rich person. The
% ratio of the rich can be calculated as follows.
Ratio_of_rich = (sum(p_money>100))/100
%%
% * The first 20% richest people have nearly 45% of total wealth.
p = sort(p_money,'descend');
twenty_richest = sum(p(1:20))/(10000)
%%
% * The first 10% richest people have nearly 25% of total wealth.
ten_richest = sum(p(1:10))/(10000)
%%
% * 13 people go bankrupt.
bankrup_no = sum(p<=0)
%% Extensions:
% # How does the wealth distribution change if one is not allowed to have debt?
% That is, one may not give people money if he/she has no money, but he/she can
% receive from others.
% # Are the initial money and number of people crucial in this example?
% # Is there an explanation of the result above from the point of view of sociology?
% # Is there a theoretical formula for the social wealth distribution?
%
%
%
%
##### SOURCE END #####
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