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- 7 distance sensors (d0-d6)
- 2 sensors (Rl, Rr) for detecting
the resource.
- An omnidirectional distance
sensor (Rd) and a contact
sensor (Ro) for detecting the
resource.
- A bumper sensor (bp) for
detecting collisions.
for detecting the opponent.
- Sensors for fighting ability (A)
and energy level (E).
Arena boundary
Resource
Agent 1
Agent 2
d0
d3
d6
Rl
Rr
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0.65
0.7
0.75
0.8
0.85
0.9
0.95
1
-20 -10
0
10 20 30 40 50 60
Possession rate
Mean fitness
0
0.05
0.1
0.15
0.2
0.25
0.3
-20 -10
0
10 20 30 40 50 60
Serious injury rate
Mean fitness
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0.5
0.55
0.6
0.65
0.7
0.75
0.8
0.85
0.9
0.95
-20 -10
0
10 20 30 40 50 60
Prop. possessions by stronger
¥
Mean fitness
0.5
0.55
0.6
0.65
0.7
0.75
0.8
0.85
0.9
0.95
0.4
0.5
0.6
0.7
0.8
0.9
1
Prop. possessions by stronger
¥
Prop. peaceful possessions
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ÐE:2QDØN2Ø)<>ÐER-Ñr@BCELA¹<ئ:2QÀQÀLÕQÀNfL>Rd<>N»<>ÐBRÕYÐE:2CEÕRQÀRÓMRQNMØGA^»ÛGêB@BÑ><>ÐBRÑ>×.NfÑ>RfÖEê&ADÚf@BÑ>R-ö
®ÑrADÚfÐf<_LhÐEN=ÝL+<>ÐE:2<ÐBAÀÚMÐÑr:2<>RTL_N2Ø)ÔnNKL>L>RLrLhAÀNMCJPkÙ<rÐBRL]<rÑ>NfCBÚMRÑ:2ÚfRCK<:2ÑrR¿:fL>L>NwÕAa:=<rRH
Ý6A¹<rÐØ®RÝoRÑ6ÔnRT:MÕRØ®@BQ²ÔGNfLrLhRTL>L>AÀNMCELÖkA|ÛRMÛÀÖw<>Ðn:=<6Ý6ÐBRCÓkAaÕ<>NfÑ>Ù½AaL_<rN-<rÐBRLh<>ÑrNMCBÚA¹<AaL_CBNM<
Ý6A¹<rÐBNM@w<:»åEÚMÐK<TÛü_ÐER-ÚfRCBRÑr:MQ~ÔBÑrN2ånQDRu<>ÐE:2<¿R×.RÑrÚMRLØ®ÑrNM×4Qa:=<>RAÀC;<>ÐERÑr@BCELª¦ÔnNfADCK<rL
×.:MÑfRHóÝ6A¹<rÐáÕADÑYÕQÀRL-AÀLNMCBRN2Ø8ÔnRT:MÕRØ®@BQ:MQDQÀNwÕ:2<>AÀNMC N2Ø<rÐBRÑrRL>NM@BÑYÕRfÖ&ÐEADÚfÐù×.R:MC
åB<>CBRTL>L¿LrÕNfÑ>RTLÖG:2CEHånÚMÐK<>AÀCBÚ:2PBAÀQDAD<]ÙCBN2<¿PGRAÀCBÚJ:MC;AÀ×ÔGNMÑ><r:MCK<ÔBÑrRHwAaÕ<rNMÑ8N2ØoL>@EÕÕRLrLÛ
ü_ÐBRQa:=<h<rRÑ-ÔnNfADCK<-HwNkRTLCBNM<u×½:=<rÕYÐòÝ6Ðn:=<uÝ+RÝ+NM@BQaHæRãwÔGRÕ<-A¹Ø:L>ADÚfCE:2QÀQÀADCBÚ;L>ÙwL]<rR×
Ý+:fL_ADCJÔBQa:MÕRfÛ
ÏØ<>ÐER¿:MÚMRCf<YLÐn:zÓMR8RÓMNfQDÓfRH:-Ý_:zÙNMØ&:MQDQÀNwÕ:=<rADCEÚu<rÐBR¿Ñ>RTLhNf@BÑrÕRÝ6AD<>ÐBNf@w<6ÓkADNfQDRCEÕRfÖ
:2CEH½ADزåEÚfÐf<rADCEÚu:2PBAÀQÀA¹<]Ù.ÐE:fLPGRÕNf×.R@BCBAÀ×.ÔnNfÑh<Y:2CK<Öf<>ÐBRCÝ6ÐE:2<o×.ADÚfÐK<oPGRÐE:MÔBÔnRCBAÀCBÚKô
!àRdRãK<rRCEHBRHJÑ>@ECJ÷RÑrNu<rN«*BAAAuÚMRCBRÑY:=<rADNfCEL_:2CEHQDNkNBMRHJ:=<6<rÐBRdÑrRL>@BQ¹<YL_ADCÚfÑ>RT:=<>RÑ
X.^agqrZoZ]KW6Z\[]eKW6Z]KWr`[]WrZ]ijqgl²`TcfZ]ijbeKb ijX½`TeM[+p\ijb8efl¹gZ]ij`TXijp'¬T2¼EusMeKW_Z]`dZ]KWvw`XMefp^À`[
÷RÑrN.AÀL_ÑrR:fLhNfCE:2PEQDÙ½ÑrRÔBÑrRL>RCK<Y:=<>AÀÓMRN2Ø&<>ÐBR¿<rRCÑr@BCELÛ
0
0.2
0.4
0.6
0.8
1
1
10
100
1000
10000 100000
Rate
Generations
Possession
Serious injury
Peaceful possession
0
0.2
0.4
0.6
0.8
1
1
10
100
1000
10000 100000
Rate
Generations
Possession by stronger
Flight
SUT)V ·®G·J|³
cf[]`cw`[\Z]ij`TX`^nqY`X2Z]WrpZ]p)WYXksMijXK6ijXcw`Tp\p\WYp\p\ij`TX-`^EZ]KW/[]WYp\`ef[]qYWTMcM[]`Tcw`[\Z]ij`Xu`^
cwWYgqYWr^ÀeKl²cw`p\p\WYp\p\ij`TXKpYngXks[hgZ]W`^p\Wr[]ij`Tefp_ijXef[\{=kcflj`Z\Z]Ws½`yzWr[oTWYXfWr[hgZ]ij`XKp+^À`[_[]efXdYWr[]`f¼
T)V ³
cf[]`cw`[\Z]ij`TX`^(cw`Tp\p\Wrp\p\i¹`XKpov2{upZ\[]`XKTW>[_gTWYX=ZwgXks[hgZ]WgZºKijqh½gWYX=Z]pÄKWsuZ]fW
g[]WYXkg2kcfl¹`Z\Z]Ws-`yzW>[oWYXKW>[hgZ]ij`TXfp^À`[[]eKX¯YWr[]`f¼Km+`Z]W+Z]kgZZ]fW+Z]ijbdW6gMWYpg[]W6l¹`Á¦p\qgl¹WYsE¼
ê~AÀÚM@EÑ>R°óL>ÐBN=ÝL½Ó=:MÑ>AÀNM@EL½Lh<r:2<>AaL]<rAÀÕL½Ø®NfÑ»Ñr@BC ÷RÑ>NnÛûCEL>@BÑrÔBÑrAÀL>ADCEÚMQÀÙMÖÚfADÓfRC <>ÐBRADÑ
Ñr:MCEHwNM×.QÀÙÕNMCBCERÕ<rRH»CBR<]Ý+NMÑ+wLÖK:2ÚMRCK<rLAÀC<rÐBRAÀCBAD<>Aa:2QÚMRCBRÑY:=<rADNfC½ÝoRÑ>RCBN2<+QDA)MRQDÙ<rN
Úf:2AÀCJÔnNKL>L>RLrLhAÀNMC»N2Ø&<>ÐBR¿ÑrRL>NM@BÑYÕRB"f<rÐBRÙ<>RCnHwRH<>N.×.N=ÓMR¿AÀCJ:ÑY:2CEHBNM×HwAÀÑ>RTÕ<rADNfCJ:MCEH
<>Ðk@EL¿âERR<>ÐBR:MÑ>RCE:»Ý6AD<>ÐENM@w<dåEÚfÐK<>AÀCBÚEÛçN=ÝoRÓMRÑÖGÝoR½L>RR.<rÐE:=<¿<>ÐER:2PBAÀQDAD<]Ù;<rN×N=ÓfR
ADCkÝ_:2ÑYHBL:MCEH½Úf:MADC»ÔnNKL>L>RLrLhAÀNMC½NMز<>ÐBR8ÑrRL>NM@BÑYÕRHBRÓMRQDNfÔELÓfRÑrÙ½Òf@EAÀÕkQÀÙMÖk:2CEH½PkÙ½:2PGNM@B<
ÚMRCERÑY:=<>AÀNMCw*æÝ+RL>RR<rÐBR;ÐBAÀÚMÐERLh<QDRÓMRQaL.N2ØL>RÑ[email protected]ÀC=ð]@BÑrÙù:2CnHó<rÐBR;QÀN=ÝoRTL]<½QÀRÓfRQaL
N2Ø6ÔnRT:MÕRØ®@BQ+ÔnNKL>L>RLrL>ADNfCæ:fLPGN2<rÐó:2ÚfRCK<rL¿<rÑ>Ùà<>NÞ×N=ÓfRNMCK<rN<>ÐBRÑ>RTLhNf@BÑrÕRMÛJ%+R<]ÝoRRC
ÚMRCERÑY:=<>AÀNMC½íA:2CnHdÚMRCBRÑY:=<rADNfC¯wÖTÕNfCf<rRLh<rLPnRTÕNM×.Ro×NfÑ>RoÔnRT:MÕRØ®@BQk:2CEHd<>ÐBR_L]<rÑ>NfCBÚMRÑ
:2ÚMRCK<uPnRTÕNf×RTL×.NMÑrRQÀA&fRQÀÙÞ<rNÞÝ6AÀC(Û)ü_ÐBAÀL-AaLPGRÕ:M@EL>R<>ÐER:2ÚfRCK<rLÐE:zÓMR»Lh<r:MÑh<rRHä<rN
@ELhR.<rÐBRAÀÑdåEÚfÐK<>AÀCBÚ:2PBAÀQDAD<]ÙàL>RCnLhNfÑÖ(:MCEHäÝ6ADQÀQ×.N=ÓMR.AÀCä×.NfÑ>R½ÕNfCwånHwRCK<>QÀÙÞADØ+<rÐBRÙä:2ÑrR
L]<rÑ>NfCBÚEÖG:2CEH×½:zÙâERRAÀ×.×.RHwAa:=<rRQÀÙJÝ6ÐERC;ÓfRÑrÙÝ+R:GÛ%oÙÚfRCBRÑr:2<>AÀNMCæíABA.ÝoRuL>RR-:
LhQÀN=ÝdÖKÕQDNwÕkÝ6AaLhRL>ÔBAÀÑr:MQDQÀAÀCBÚu×.N2<rADNfCAÀC<>N=Ý_:2ÑYHBL<>ÐBR8Ñ>RTLhNf@BÑYÕR"M<>ÐBR8PBAa:ML<>N=Ý_:2ÑYHBLÑrAÀÚMÐK<
<>@BÑrCEL&AÀL~×½:2AÀCK<r:2AÀCBRTH¿<>ÐBÑrNM@EÚMÐBNf@w<<rÐBRoÑr@BC(Û=þL<rÐBR+ÚMRCERÑY:=<>AÀNMCnL(ÔE:fL>L<>ÐBR+PGRÐE:zÓkAÀNM@BÑ~N2Ø
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þÑrNM@BCEHäÚfRCBRÑr:2<>AÀNMC£*AABA<>ÐBRÑ>R½AaLu:L>ÔBA)MR½AÀCæ<>ÐBR½ÔGNfLrLhRTL>L>AÀNMCæÑr:2<>RfÖ(:2CEHò:HwÑrNMÔæAÀC
<>ÐBRÑr:2<>R:2<Ý6ÐBAaÕYн<>ÐER8Lh<>ÑrNMCBÚfRÑ:MÚMRCf<oÝ6ADCELÛkü_ÐBAÀLoNwÕÕ@BÑrLPnRTÕ:M@ELhR<>ÐBR¿:2ÚfRCK<rL:fHwNMÔB<
:LhQÀN=ÝdÖBÝ_:2ÚfÚMQÀADCBÚ.×.N2<rADNfC(ÖE:MCEHPnRTÕNf×RuÓMRÑrÙ»ÑrRQÀ@EÕ<r:2CK<6<rN»ÕNfQDQÀAÀHBRÝ6A¹<rÐR:fÕYÐN2<>ÐERÑTÛ
þÑrNM@BCEHuÚMRCBRÑY:=<rADNfC¯NABAAئ:MLh<Ö=Lh×.NkN2<rÐ-×.NM<>AÀNMCuAaL)ÑrRÕN=ÓfRÑrRH²ÛTüÙkÔBAaÕ:MQDQÀÙMÖzPGN2<rÐ:MÚMRCK<YL
NMÑrPBA¹<_<rÐBRdÑ>RTLhNf@BÑYÕR÷NMCBRfÖB:2CEHR:fÕYÐ:zÓfNMAaHBLo<>ÐBR¿N2<rÐBRÑTÖwPB@w<6<rÐBRLh<>ÑrNMCBÚfRÑ+AÀL_ÔBÑrRÔn:2ÑrRH
<>N<>@EÑ>CäADCæ×.NMÑrR<>AÀÚMÐK<>QÀÙMÖ~:2CEHÞ<>Ðk@ELdÚK:2AÀCEL8<>ÐER½Ñ>RTLhNf@BÑrÕRMÛ²ü_ÐBRC(Ö:2ÑrNM@ECEH;ÚfRCBRÑr:2<>AÀNMC
íTïMïAAEÖMåEÚfÐK<>AÀCBÚ½:2PBAÀQDAD<]ÙÑY:2ÔBAaHwQÀÙ½PnRTÕNf×RTL_QDRTL>L_@nLhRØ®@BQ:ML_:ÔBÑrRHwAaÕ<rNMÑ_N2Ø)ÓkAÀÕ<>NfÑ>ÙfÛkü_ÐER
:2ÚMRCK<rL.ÕAÀÑrÕQDRJR:fÕYÐóNM<>ÐBRÑÖ/:2CnHóNfCBRJL>RR×½Lu<rNæÚMR<½:äÔnNKLhAD<>AÀNMCn:2Q6:MHwÓ=:MCf<Y:2ÚfR»NMCù<>ÐER
N2<>ÐERÑTÖ2ADÑrÑrRL>ÔnRTÕ<>AÀÓMR_NMØPGRAÀCBÚdÝ+R:uNMÑLh<>ÑrNMCEÚEÛMü_ÐBR_ånÑrLh<:2ÚfRCK<ÕYÐE:ML>RL&<rÐBRL>RÕNMCEHNM@B<
ü_ÐBRdÔE:=<><>RÑ>CJAÀL×.:MADCK<Y:2AÀCBRH»Ø®NMÑ_<rÐBRdÑ>RTL]<6NMØ~<rÐBRdÑ>@EC(Û
outputs
Motor
Sensory
inputs
}
LF
LB
RB
RF
}
d3
d6
Rr
neuron
neuron
"Straight-ahead"
"Right turn"
neuron
"Flee"
SUT)V ·b±E·
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