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ISSN: 2247-6172;<br />

ISSN-L: 2247-6172<br />

Review <strong>of</strong> Applied Socio- Economic Research<br />

(Volume 5, Issue 1/ 2013 ), pp. 138<br />

URL: http://www.reaser.eu<br />

e-mail: editors@reaser.eu<br />

The <strong>in</strong>strumental variables <strong>of</strong> every <strong>in</strong>dividual , 11 represent goods that each <strong>in</strong>dividual<br />

consumes <strong>and</strong> consumed quantities <strong>of</strong> each good, tak<strong>in</strong>g <strong>in</strong>to account education at position 1. A plan<br />

,… is a comb<strong>in</strong>ation <strong>of</strong> values for <strong>in</strong>strumental variables, <strong>in</strong> this case, represents a number <strong>of</strong><br />

units consumed by a person <strong>in</strong> a period <strong>of</strong> time, this plan varies through time. It will be supposed for<br />

simplicity <strong>in</strong> <strong>the</strong> model that a person consumes one unit <strong>of</strong> each good at <strong>the</strong> most. As each person follows a<br />

different plan, <strong>the</strong> notation to keep is ..<br />

2.3. Actions<br />

An action is a function that <strong>in</strong>dicates <strong>the</strong> variation <strong>in</strong> a consumption pattern. Each variation<br />

consumption pattern has an effect on <strong>the</strong> goals. The actions proposed <strong>in</strong> <strong>the</strong> model are:<br />

: Imitation on alimentary goods.<br />

: Imitation on non - alimentary goods.<br />

: Increment on person education.<br />

: Sav<strong>in</strong>g.<br />

Each <strong>of</strong> <strong>the</strong>se actions seeks to generate an <strong>in</strong>crement at least <strong>in</strong> one goal, e <strong>the</strong> last one (reserved for<br />

some extreme cases).<br />

2.4. Construction <strong>of</strong> <strong>the</strong> <strong>in</strong>fluence scheme<br />

The <strong>in</strong>fluence scheme corresponds to a 43 matrix, it will denote by , conta<strong>in</strong>s what really happens to<br />

a consumer after hav<strong>in</strong>g consumed goods <strong>in</strong> certa<strong>in</strong> period <strong>of</strong> time.<br />

The choice <strong>of</strong> elements <strong>of</strong> matrix depends on values <strong>of</strong> variables <strong>and</strong> 1. When 0,<br />

scheme <strong>of</strong> <strong>in</strong>fluences does not exist, meantime <strong>the</strong> <strong>in</strong>dividual does not beg<strong>in</strong> his process <strong>of</strong> consumption, it<br />

will not be able to evidence variations that generate actions. Therefore <strong>the</strong> <strong>in</strong>fluence scheme must be<br />

modified for every 1.<br />

In actions <strong>and</strong> , correspondent to consumption <strong>of</strong> alimentary goods, it lacks <strong>of</strong> sense <strong>of</strong><br />

consumption if it has reached maximum satisfaction level, equivalent to 100 units. Verification for this level<br />

<strong>of</strong> aspiration can be seen <strong>in</strong> <strong>the</strong>se algorithms. When execut<strong>in</strong>g <strong>the</strong>se actions (whichever it had been taken)<br />

if 100, it should be assigned at <strong>the</strong> position or <strong>the</strong> value <strong>of</strong> 1, <strong>in</strong> case that it has not been<br />

assigned previously.<br />

It is evident that consumption <strong>of</strong> alimentary or non - alimentary goods will generate an <strong>in</strong>crease <strong>in</strong> any<br />

one <strong>of</strong> <strong>the</strong> variables <strong>and</strong> , however it is <strong>the</strong> variation ∆ 1which will give counts if<br />

actions ( particularly on imitation <strong>in</strong> non - alimentary goods) have produced improvement on <strong>the</strong> goal, <strong>and</strong><br />

that way, look for a different order <strong>in</strong> actions that <strong>the</strong> <strong>in</strong>dividual should follow <strong>in</strong> <strong>the</strong> next period <strong>of</strong> time,<br />

o<strong>the</strong>rwise, dynamics <strong>of</strong> model would go away. This is a substantial difference with Selten's orig<strong>in</strong>al model<br />

(Selten, 1998) where <strong>in</strong>fluences scheme adds a sign if <strong>the</strong> goal <strong>in</strong>creases <strong>in</strong> accordance with a given action,<br />

but do not give account <strong>of</strong> whe<strong>the</strong>r you had a positive or negative <strong>in</strong>crement <strong>in</strong> time.<br />

3. Algorithms for actions <strong>and</strong> o<strong>the</strong>rs considerations<br />

3.1. Imitation on consumption <strong>of</strong> alimentary <strong>and</strong> non–alimentary goods<br />

In order to generate <strong>the</strong> imitation <strong>in</strong> consumption, rule will be: First, you will consume <strong>the</strong> goods that<br />

had bigger consumption <strong>in</strong>side your social circle <strong>in</strong> <strong>the</strong> immediately previous time.This rule conta<strong>in</strong>s<br />

three processes <strong>and</strong> <strong>the</strong>y are <strong>the</strong> follow<strong>in</strong>g:

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