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---
id: wiki-2026-0508-self-play-자기-대결-기반-강화학습
title: Self-Play (자기 대결 기반 강화학습)
category: 10_Wiki/Topics
status: verified
canonical_id: self
aliases: [Self-Play RL, AlphaZero Style, Self-Play Reasoning]
duplicate_of: none
source_trust_level: A
confidence_score: 0.9
verification_status: applied
tags: [reinforcement-learning, self-play, alphazero, mcts, llm-reasoning]
raw_sources: []
last_reinforced: 2026-05-10
github_commit: pending
tech_stack:
language: python
framework: pytorch
---
# Self-Play (자기 대결 기반 강화학습)
## 매 한 줄
> **"매 agent 가 자기 자신과 대결 → curriculum 자동 생성, 인간 데이터 의존 X"**. TD-Gammon 1992 → AlphaGo Zero 2017 → AlphaZero/MuZero → OpenAI Five → 매 2024-2026 LLM reasoning self-play (Self-Rewarding LM, SPIN, AlphaProof). 매 핵심: 매 opponent 가 you-itself → 매 difficulty 자동 매칭.
## 매 핵심
### 매 왜 self-play?
- 매 ground truth reward (game win) 매 cheap.
- 매 curriculum 매 emergent: 매 stronger you, 매 stronger opponent.
- 매 data efficient: 매 single game-tree → 매 many trajectories.
- 매 super-human achievable: 매 human ceiling 무 의존.
### 매 핵심 algorithms
- **AlphaZero**: 매 MCTS + neural net (policy + value).
- **MuZero**: 매 learned dynamics — 매 model-based, no game rules needed.
- **PSRO** (Policy-Space Response Oracles): 매 league of policies.
- **Fictitious self-play**: 매 average opponent over history.
- **AlphaStar (StarCraft)**: 매 league with main + exploiters.
### 매 stability tricks
- 매 past-self snapshots: 매 opponent pool from checkpoints.
- 매 league diversity: 매 main + counter + exploiter agents.
- 매 PFSP (prioritized fictitious self-play): 매 hard opponents 매 priority.
- 매 latency-style: 매 opponent strength 매 controlled.
### 매 LLM reasoning self-play (2024-2026)
- **Self-Rewarding LM** (Yuan 2024): 매 LLM-as-judge + DPO.
- **SPIN** (Chen 2024): 매 self-play between current vs prior model.
- **AlphaProof** (DeepMind 2024): 매 IMO-silver — 매 Lean prover self-play.
- **STaR / V-STaR**: 매 reasoning trace generation + filter self-play.
- **R1-style**: 매 verifiable reward (math, code) → RL self-improvement.
### 매 응용
1. Board games: AlphaGo, AlphaZero, Stockfish.
2. RTS / MOBA: AlphaStar, OpenAI Five.
3. LLM reasoning: o1, R1, AlphaProof patterns.
4. Robotics policy learning: 매 sim-to-real with self-play opponents.
## 💻 패턴
### MCTS + neural net (AlphaZero-style)
```python
import math, numpy as np
class Node:
def __init__(self, prior=0):
self.children = {}
self.N, self.W, self.P = 0, 0, prior
def Q(self): return self.W / max(self.N, 1)
def select(node, c=1.5):
total = sum(c.N for c in node.children.values())
best, best_score = None, -1e9
for a, child in node.children.items():
u = c * child.P * math.sqrt(total) / (1 + child.N)
score = child.Q() + u
if score > best_score:
best_score, best = score, a
return best
def mcts(state, net, sims=800):
root = Node()
p, v = net(state)
for a, prior in enumerate(p):
root.children[a] = Node(prior)
for _ in range(sims):
path, s = [root], state
while path[-1].children:
a = select(path[-1])
path.append(path[-1].children[a])
s = step(s, a)
if not terminal(s):
p, v = net(s)
for a, prior in enumerate(p):
path[-1].children[a] = Node(prior)
else:
v = reward(s)
for n in reversed(path):
n.N += 1; n.W += v; v = -v
visits = np.array([c.N for c in root.children.values()])
return visits / visits.sum()
```
### Self-play data generation
```python
def play_game(net, mcts_sims=800, temp=1.0):
state, history = init_state(), []
while not terminal(state):
pi = mcts(state, net, mcts_sims)
if temp > 0:
a = np.random.choice(len(pi), p=pi**(1/temp) / sum(pi**(1/temp)))
else:
a = pi.argmax()
history.append((state, pi))
state = step(state, a)
z = reward(state)
return [(s, pi, z * (-1)**i) for i, (s, pi) in enumerate(history)]
```
### Training loop
```python
buffer = []
for iteration in range(1000):
games = [play_game(net) for _ in range(100)]
buffer.extend(sum(games, []))
buffer = buffer[-500_000:] # 매 ring buffer
for _ in range(1000):
batch = random.sample(buffer, 256)
s, pi, z = zip(*batch)
p_pred, v_pred = net(torch.stack(s))
loss = ((v_pred - z) ** 2).mean() + -(pi * p_pred.log()).sum(-1).mean()
optim.zero_grad(); loss.backward(); optim.step()
if iteration % 10 == 0:
save_checkpoint(net, iteration)
```
### League / PSRO opponent pool
```python
class League:
def __init__(self):
self.agents = []
self.scores = defaultdict(lambda: defaultdict(int))
def add(self, agent):
self.agents.append(agent)
def sample_opponent(self, learner, mode="pfsp"):
# 매 prioritize hard opponents
winrates = [self.scores[learner][a] / max(1, sum(self.scores[learner].values()))
for a in self.agents]
priorities = [(1 - w) ** 2 for w in winrates]
priorities = np.array(priorities) / sum(priorities)
return np.random.choice(self.agents, p=priorities)
```
### LLM self-play (SPIN-style)
```python
# 매 player_t = current LLM, opponent_{t-1} = previous LLM
def spin_step(model_t, model_t_minus_1, prompts, gold_responses):
losses = []
for p, gold in zip(prompts, gold_responses):
opponent_resp = model_t_minus_1.generate(p)
# 매 DPO-style: 매 prefer gold over opponent
chosen_logp = model_t.logprob(p, gold)
rejected_logp = model_t.logprob(p, opponent_resp)
loss = -F.logsigmoid(0.1 * (chosen_logp - rejected_logp))
losses.append(loss)
return torch.stack(losses).mean()
```
### Verifiable-reward self-improvement (R1-style)
```python
def rlhf_self_play(model, math_problems):
rollouts = []
for prob in math_problems:
traces = [model.generate(prob, temperature=1.0) for _ in range(16)]
rewards = [verify_math(t, prob.answer) for t in traces] # 0/1
rollouts.extend(zip(traces, rewards))
# GRPO: 매 group-relative advantage
update_policy_grpo(model, rollouts)
```
## 매 결정 기준
| 상황 | Approach |
|---|---|
| Perfect info game | 매 AlphaZero (MCTS + NN) |
| Imperfect info | 매 PSRO / fictitious self-play |
| Ladder strategies (RTS) | 매 league with exploiters (AlphaStar) |
| LLM reasoning (verifiable) | 매 R1-style RL with verifier |
| LLM general | 매 SPIN / Self-Rewarding LM |
**기본값**: 매 perfect info → AlphaZero pattern, 매 LLM reasoning with verifier → GRPO/R1, 매 general LLM → SPIN.
## 🔗 Graph
- 부모: [[Reinforcement Learning]]
- 변형: [[GRPO]]
- 응용: [[DeepSeek R1]]
## 🤖 LLM 활용
**언제**: 매 verifiable reward (math, code, theorem proving), 매 ground-truth game outcome, 매 want super-human capability.
**언제 X**: 매 reward 매 unverifiable (creative writing, opinion), 매 single-agent task with no opponent.
## ❌ 안티패턴
- **No opponent diversity**: 매 collapse to single strategy — 매 league 필수.
- **Static opponent**: 매 overfit to fixed pattern.
- **No verification (LLM)**: 매 reward hacking — 매 SPIN-only 매 weak.
- **Catastrophic forgetting**: 매 past-snapshot pool 무시 → cycles.
## 🧪 검증 / 중복
- Verified (Silver et al. AlphaZero 2017, AlphaStar Nature 2019, SPIN ICML 2024, AlphaProof DeepMind 2024).
- 신뢰도 A.
## 🕓 Changelog
| 날짜 | 변경 |
|---|---|
| 2026-05-08 | Phase 1 |
| 2026-05-10 | Manual cleanup — AlphaZero, league, LLM self-play (SPIN, R1) 추가 |