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Table 2.
Results of an individual execution
SYMBOL G0 G0 G0 G1 G0 G1 G0 G1 ... G3 G0 G1 ... G4 G0 G1 ... G58
dice
wa wa wa wa wa wa wa wa ... wa wa wa ... wa wa wa ... wa
ball
bo bo bo bo bo bo
... bo
... bo bo bo ... bo
box
di di di di di di di di
... di di di
... di di di
... di
wall
ba ba ba ba ba ba ba ba ... ba ba ba ... ba ba
... ba
feather
gl
gl
gl
gl
gl
gl
gl
...
gl
gl
gl
...
gl
gl
...
gl
glass
fe
fe
fe
fe
fe
fe
...
fe
fe
fe
...
fe
fe
fe
...
fe
pencil
pe pe pe pe pe pe ... pe pe pe ... pe
pe ... pe
sharpener
sh sh sh sh sh sh ...
sh sh sh ...
sh sh sh ...
sh
orange
ch ch ch ...
ch ch ch ...
ch ch ch ...
ch
cherry
ch or
or
or
...
or
or
or
...
or
...
or
apple
...
ap ap ap ...
ap ap ap ...
ap
pear
ap ap ... pr pr pr
... pr pr pr
... pr
strawberry
...
st
st
...
le
le
le
...
le
lemmon
...
...
st
st
st
...
st
melon
...
...
me me ...
nu
nut
...
...
nu nu ... me
objects
4
6
8
8
10 10 12 12 ...
12 14 14 ...
14 16 16 ...
16
agents
4
6
8
8
10 10 12 12 ...
12 14 14 ...
14 16 16 ...
16
fitness
0
0
0.120
0.1 0
0.160.16 ...
0
0.140.14 ...
0
0.180.15 ...
0
the incremental model only performed well in one execution for 16 objects and
16 agents with the evolutionary parameters shown in table 1 (success 20%).
Table 2 shows the results of the fifth execution, the only one when a solution for
the 16 objects was found.
Information in the header row describes the titles for the symbols and the
generations where a lexicon consensus emerged. Next rows show the consensual
symbol-meaning pairs and we must translate the information as follow: in the
intersection for the symbol
dice
(first column) and the generation
G1
(fifth col-
umn) the meaning
wa
means that all the agents in the environment agreed to
associate the symbol
dice
with the meaning
wa
in the first generation. The asso-
ciation can be done because the generated vocabulary included the appropriated
symbol. In this case the symbol
dice
must be in the vocabulary so the association
can be generated when the vocabulary is being evaluated. Three last rows de-
scribe the number of objects and agents in the environment and the fitness value.
A fitness value of zero is attained once the lexicon consensus has emerged. At
that time, a new configuration starts. Symbols column shows how many words
are in the vocabulary. For example, in the second column titled as
G0
we can
see how only a meaning for the symbols
dice, ball, box
and
wall
is represented
because a vocabulary with those words was being evaluated. Blank spaces in ta-
ble 2 stand for symbols out of the grammar or symbols in the grammar but they
did not attain an association between the symbol and a meaning. For example,
if there is only four objects in the environment we only have four symbols in
the grammar. It is worthy to mention how the symbol-meaning pairs are held
through the configurations. In our opinion this is the most outstanding aspect in
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