ECONOPHYSICAL SIMULATION
(complete version with numerical results)

Simulation of an economy system
giving social equality or inequalities
depending if the agents are
egocentric or altruists

This page is a simple economy simulation.
It is written in Javascript, to allow it to run with
all the browsers, even off line.

It allows to understand how appear economic inequalities in
a system where economy agents behave in an egocentric way,
such as in capitalism, when equality appears automatically
when these agents behave in an altruistic way.

PLAY:
( takes time)

Affichage:

At each turn each agent invests EGOCENTRICALLY a part of his fortune,
in a relation with another agent, according to the capitalist market
way. He may lose or earn money, but anyway the change is proportional
to the investment.
ALL THE AGENTS ARE IDENTICAL AND TREATED IN THE SAME WAY.

The linear display allows to follow each
economy agent one per one. In display 1, each bar indicates the fortune
of an agent, in the order of their number. See numerical values at
the bottom of this page. The log display allows to see the Pareto law of the distribution
of the fortunes. This law makes that, the higher the fortune, the
lesser people there is. In display 2, agents are sorted by fortune,
and the ordinate indicates the logarithm of the fortune. Display 3
shows the frequencies of the log of the fortune. The Pareto law appears
as a regular slope on the right side of this curve, but unfortunatelly
a statistical accumulation of data is necessary to really see it.
See numerical values at the bottom of this page. The Gaussian display allows to show the distribution on a Gaussian
law of the fortunes. In display 4, the Gaussian distribution makes
the fortunes to appear in a leaned S curve (variant of the classical
bell curve). The distribution according a Pareto law gives an exponential
curve (trumpet shaped). Display 5 shows the classical bell curve,
frequencies of the fortunes. See numerical values at the bottom of
this page.

Start, wealth at the first turn:

Income, summ added at each turn:

Investment, sum put in game at each turn:
(per cent)

per cent

(Validate after each modification). Start: wealth of each agent at the first turn. Income: what earns each agent at each turn Investment: each player invests this percentage
of his fortune at each turn. (Validate after entering a value).
Normally you do not need to change this parameter, fixed to a value
which gives the more realistic result. Less slows the game; more
give the war of the gangs. But if we have a great majority of very
poor and some riches, so these poors are not solvent, and the game
is blocked. In this case lower Investment.

ALTRUISTIC CORRECTIONS

Socialism, corrective tax:

per cent

Percentage of altruistic agents:

per cent

Minimum percentage of altruism:

per cent

Socialism (Validate after entering a value) introduces a tax
on the 5% largest fortunes, at each turn, and shares it on the 20%
poorests. According to its value, it stands for various economy models.
0% is a perfectly liberal society. Some per cent represent a correction
of the type allowed by right wing parties. More, by reformist left
wing parties such as the Socialists. Still more, it is Bolshevism. Altruists (Validate after entering a value) makes appear a
percentage of agents perfectly altruistic, who, in place of investing
in an egocentric way, will share the sum investment with a
poorest. These agents will appear in red (after the next turn). Altruism (Validate after entering a value) makes appear a proportion
of altruism among ALL the agents. (They will share this proportion
of Investment in place of investing it egocentrically).

Numerical results (for statistical checks)

Field 1: Fortune per agent, display 1, 2 or 3.
Copy paste in a spreadsheet.

Field 2: ordinates, displays 3 or 5. Copy paste
in a spreadsheet.

Field 3: abscissas, displays 3 or 5. Copy paste
in a spreadsheet