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Resultados da Simulacao de RTP/GGR

Data do Teste: 11/02/2026 Script: scripts/rtp-simulation.tsSimulacoes por caixa: 10.000 Simulacoes de upgrade: 10.000 por faixa Simulacoes de batalha: 200-500 por combinacao (11 cenarios x 2 round counts x 2 caixas) Range Provably Fair: 1 a 10.000.000 Moeda: BRL (valueCentsBrl) calculateRoll: HMAC-SHA256, substring(0,13), retry overflow, 1-based


Resumo Executivo

MetricaValor
Total Apostado (Caixas)R$ 6.494.800,00
Total Ganho (Players)R$ 4.593.508,90
Lucro da Casa (Caixas)R$ 1.901.291,10
RTP Geral (Caixas)70.73%
House Edge (Caixas)29.27%
RTP Medio (Upgrades)70.36%
House Edge (Upgrades)29.64%
House Edge (Batalhas PvP)26.63%
House Edge (Batalhas vs Bots)26.85%
House Edge (Batalhas SHARED)27.49%

1. RTP por Caixa

RTP (Return to Player) - Quanto % volta para os jogadores
100% = Break Even | <100% = Casa lucra | >100% = Casa perde

[OK     ] Emerald                   | ###################################### 75.5%
[OK     ] Star                      | #################################### 72.9%
[OK     ] Paradise                  | ################################### 69.8%
[OK     ] Case Hardned              | ################################## 68.1%
[OK     ] Royal                     | ################################## 67.7%
[OK     ] Crown                     | ################################## 67.2%
[OK     ] Ultra                     | ################################# 65.2%
[OK     ] Snow                      | ############################ 56.1%

Tabela Detalhada

CaixaPreco (BRL)RTP SimuladoRTP TeoricoHouse EdgeLucro/10.000 aberturasFLIPs
EmeraldR$ 249,9075.50%77.60%24.50%+R$ 612.196,092.488
StarR$ 19,9072.90%70.07%27.10%+R$ 53.938,75128
ParadiseR$ 69,9969.85%68.45%30.15%+R$ 211.046,73656
Case HardnedR$ 199,0068.10%67.54%31.90%+R$ 634.765,741.084
RoyalR$ 19,9067.72%66.61%32.28%+R$ 64.241,5524
CrownR$ 24,9067.22%68.69%32.78%+R$ 81.633,4146
UltraR$ 49,9965.25%69.29%34.75%+R$ 173.719,55289
SnowR$ 15,9056.13%63.31%43.87%+R$ 69.749,28142

Caixa Snow

RTP de 56.13% - House edge de 43.87% pode ser agressivo demais e afugentar jogadores.


2. Distribuicao de Raridade (Global - 80.000 aberturas)

RaridadeDropsPorcentagem
CONSUMER1300.16%
INDUSTRIAL3.3694.21%
MIL_SPEC16.25620.32%
RESTRICTED44.93156.16%
CLASSIFIED11.34514.18%
COVERT3.9694.96%

3. Impacto do Sistema FLIP

CaixaFlip ThresholdFLIPs% Real% TeoricaItens Raros
Emerald7.489.5512.48824.9%25.10%11
Case Hardned8.936.1001.08410.8%10.64%6
Paradise9.376.6116566.6%6.23%15
Ultra9.708.5012892.9%2.92%10
Snow9.845.0991421.4%1.55%8
Star9.874.0141281.3%1.26%6
Crown9.944.831460.5%0.55%9
Royal9.972.431240.2%0.28%10

Validacao

Os resultados reais estao muito proximos das chances teoricas, validando que o sistema Provably Fair e o FLIP estao funcionando corretamente.


4. Simulacao de Upgrades

Constantes: House Edge = 8%, Min Chance = 0.5%, Max Chance = 75% Penalty: ratio^0.2 * 0.28

Ratio (Investido/Alvo)Chance RealWin Rate SimuladoRTP SimuladoRTP TeoricoHouse Edge
10%7.57%7.18%71.81%75.70%28.19%
25%18.12%17.99%71.96%72.48%28.04%
40%28.22%28.36%70.90%70.55%29.10%
50%34.79%34.95%69.90%69.58%30.10%
60%41.24%41.92%69.87%68.73%30.13%
75%50.76%50.78%67.71%67.68%32.29%

RTP Medio de Upgrades: 70.36%House Edge Medio: 29.64%


5. Simulacao de Batalhas

Economia de Bots

Bots NAO pagam entry fee e NAO recebem itens quando ganham. Quando o time do bot vence, a casa lucra 100% do entry fee pago pelo(s) player(s) real(is). Esta simulacao modela isso fielmente.

5.1 Batalhas PvP (sem bots)

Todos os players pagam entry fee e recebem itens normalmente via settlement.

CenarioRoundsCaixaEntry Fee TotalHouse EdgeRTP Players
1v1 PvP NORMAL1ParadiseR$ 139,9821.6%78.4%
1v1 PvP NORMAL3ParadiseR$ 419,9435.0%65.0%
1v1 PvP FLIP1ParadiseR$ 139,9825.5%74.5%
1v1 PvP FLIP3ParadiseR$ 419,9432.0%68.0%
3v3 PvP NORMAL1ParadiseR$ 419,9431.4%68.6%
3v3 PvP NORMAL3ParadiseR$ 1.259,8236.7%63.3%
3v3 PvP FLIP1ParadiseR$ 419,9428.0%72.0%
3v3 PvP FLIP3ParadiseR$ 1.259,8236.2%63.8%
1v1 PvP NORMAL1EmeraldR$ 499,8023.2%76.8%
1v1 PvP NORMAL3EmeraldR$ 1.499,4023.3%76.7%
1v1 PvP FLIP1EmeraldR$ 499,8022.5%77.5%
1v1 PvP FLIP3EmeraldR$ 1.499,4023.3%76.7%
3v3 PvP NORMAL1EmeraldR$ 1.499,4022.3%77.7%
3v3 PvP NORMAL3EmeraldR$ 4.498,2019.7%80.3%
3v3 PvP FLIP1EmeraldR$ 1.499,4020.9%79.1%
3v3 PvP FLIP3EmeraldR$ 4.498,2024.5%75.5%

House Edge Medio PvP: 26.63%

Observacao

O house edge em batalhas PvP vem dos itens terem RTP < 100% (os drops valem menos que o entry fee). FLIP vs NORMAL nao tem diferenca significativa - apenas inverte quem ganha.

5.2 Batalhas vs Bots

Apenas o player real paga entry fee. Quando bot ganha (~50%), casa lucra 100%.

CenarioRoundsCaixaEntry Fee RealBot Win RateGGR/BatalhaHouse EdgeRTP Real
1v1 vs Bot NORMAL1ParadiseR$ 69,9953.0%R$ 26,3537.7%62.3%
1v1 vs Bot NORMAL3ParadiseR$ 209,9750.6%R$ 84,8840.4%59.6%
1v1 vs Bot FLIP1ParadiseR$ 69,9949.8%R$ 19,4127.7%72.3%
1v1 vs Bot FLIP3ParadiseR$ 209,9750.6%R$ 59,9428.6%71.4%
3v3 vs Bots NORMAL1ParadiseR$ 69,9949.2%R$ 24,4134.9%65.1%
3v3 vs Bots NORMAL3ParadiseR$ 209,9756.0%R$ 90,1442.9%57.1%
3v3 vs Bots FLIP1ParadiseR$ 69,9949.8%R$ 24,4134.9%65.1%
3v3 vs Bots FLIP3ParadiseR$ 209,9747.0%R$ 54,9826.2%73.8%
1v1 vs Bot NORMAL1EmeraldR$ 249,9052.8%R$ 78,4231.4%68.6%
1v1 vs Bot NORMAL3EmeraldR$ 749,7049.4%R$ 118,2115.8%84.2%
1v1 vs Bot FLIP1EmeraldR$ 249,9048.4%R$ 37,2014.9%85.1%
1v1 vs Bot FLIP3EmeraldR$ 749,7048.4%R$ 123,0116.4%83.6%
3v3 vs Bots NORMAL1EmeraldR$ 249,9048.6%R$ 51,4520.6%79.4%
3v3 vs Bots NORMAL3EmeraldR$ 749,7058.0%R$ 272,8536.4%63.6%
3v3 vs Bots FLIP1EmeraldR$ 249,9045.4%R$ 39,9816.0%84.0%
3v3 vs Bots FLIP3EmeraldR$ 749,7049.5%R$ 36,714.9%95.1%

House Edge Medio vs Bots: 26.85% | Bot Win Rate Medio: 50.4%

Economia de Bots

  • Bot win rate de ~50% e esperado (rolls aleatorios)
  • Quando bot ganha: casa lucra 100% do entry fee real (R$ 69,99 a R$ 749,70)
  • Quando bot perde: player real recebe itens via settlement normalmente
  • O house edge real depende da combinacao: RTP dos itens + bot win rate

5.3 Batalhas SHARED (Compartilhado)

No modo SHARED, todos os players "vencem" e recebem itens via settlement.

CenarioRoundsCaixaBotsEntry Fee RealGGR/BatalhaHouse EdgeRTP Real
SHARED 2v2 PvP1Paradise0R$ 279,96R$ 86,1530.8%69.2%
SHARED 2v2 PvP3Paradise0R$ 839,88R$ 293,7335.0%65.0%
SHARED 3v3 PvP1Paradise0R$ 419,94R$ 127,6230.4%69.6%
SHARED 3v3 PvP3Paradise0R$ 1.259,82R$ 405,4432.2%67.8%
SHARED 3v3 vs Bots1Paradise5R$ 69,99R$ 19,6528.1%71.9%
SHARED 3v3 vs Bots3Paradise5R$ 209,97R$ 67,9232.4%67.7%
SHARED 2v2 PvP1Emerald0R$ 999,60R$ 255,5625.6%74.4%
SHARED 2v2 PvP3Emerald0R$ 2.998,80R$ 654,5421.8%78.2%
SHARED 3v3 PvP1Emerald0R$ 1.499,40R$ 373,9424.9%75.1%
SHARED 3v3 PvP3Emerald0R$ 4.498,20R$ 906,1420.1%79.9%
SHARED 3v3 vs Bots1Emerald5R$ 249,90R$ 55,5522.2%77.8%
SHARED 3v3 vs Bots3Emerald5R$ 749,70R$ 198,0626.4%73.6%

House Edge Medio SHARED: 27.49%

SHARED com Bots

No modo SHARED, bots "ganham" mas NAO recebem itens. A casa paga apenas o fair share do(s) player(s) real(is), economizando nos itens que iriam para bots.

5.4 Resumo Economico de Batalhas

CategoriaCenariosHouse Edge MedioGGR Medio/Batalha
PvP (sem bots)1626.63%R$ 317,30
vs Bots1626.85%R$ 71,40
SHARED1227.49%R$ 287,03
TOTAL4426.94%-

Conclusao das Batalhas

O house edge em batalhas vem de duas fontes:

  1. RTP dos itens: Itens dropados valem ~70% do entry fee (mesmo RTP das caixas)
  2. Economia de bots: Quando bot ganha, casa lucra 100% do entry fee real

FLIP vs NORMAL nao muda o house edge significativamente. Multi-round tem variance maior mas EV similar.


6. Recomendacoes

Caixas com RTP < 60% (muito agressivo)

  • Snow (RTP 56.13%): Considerar melhorar drops. House edge de 43.87% pode afugentar jogadores.

Caixas saudaveis (RTP 65-85%)

CaixaRTPStatus
Emerald75.50%Saudavel
Star72.90%Saudavel
Paradise69.85%Saudavel
Case Hardned68.10%Saudavel
Royal67.72%Saudavel
Crown67.22%Saudavel
Ultra65.25%Saudavel

Upgrades

  • House edge efetivo de ~30% (acima do minimo de 8% devido ao penalty factor)
  • Win rates simulados batem com as chances teoricas
  • Penalty factor progressivo funciona corretamente

Batalhas

  • House edge de ~27% em todos os modos (PvP, vs Bots, SHARED)
  • Bot win rate de ~50% confirma fairness (rolls aleatorios)
  • Bots sao lucrativos: quando ganham, 100% do entry fee real e lucro da casa

7. Metodologia Tecnica

AspectoDetalhe
calculateRollcrypto.createHmac('sha256', serverSeed).update(clientSeed:nonce).digest('hex')
Hash prefixsubstring(0, 13) = 52 bits
OverflowRetry com sufixo :retry na mensagem se decimal >= maxSafeValue
Range1-based: (decimal % max) + 1 = range 1 a 10.000.000
MoedavalueCentsBrl (BRL centavos), nao valueCents (USD)
FLIPFlag cosmetico - item selecionado pelo roll principal
UpgradebaseChance * (1 - penaltyFactor), penalty = ratio^0.2 * 0.28
SettlementFair share, REMOVED_TO_POOL, ADDED_FROM_POOL (busca binaria)
Bot economicsBots nao pagam entry fee, nao recebem itens
Cenarios de batalha11 cenarios x 2 round counts x 2 caixas = 44 combinacoes

Relatorio gerado pelo script scripts/rtp-simulation.tsUltima atualizacao: 11/02/2026

Documentação Técnica - ProCases