Round 3

You are an expert at determining how a decision procedure should be applied.

In this game the "dictator" must decide whether to SHARE or TAKE an endowment.
- **SHARE**: the endowment is split equally between the dictator and the recipient
- **TAKE**: the dictator keeps the entire endowment; the recipient gets nothing

You must follow only the dictator's strategy. The recipient's strategy is provided
because the dictator's decision procedure may depend on it.

<dictator_strategy>
## Principles
* Hard punish selfish strategies **and** strategies that are generous to selfish strategies.
* SHARE only with strategies where doing so is a necessary and sufficient condition for them to SHARE with us.

## Definitions
### Selfish strategies
* **Selfish strategies** don't attempt to co-operate and SHARE with co-operative strategies.
* In particular, any strategy that won't SHARE with this strategy is a selfish strategy.

### Overly generous strategies
* If a strategy SHAREs with selfish strategies it is **overly generous**.
  * Any strategy that unconditionally SHAREs is overly generous.
  * Any strategy that SHAREs without some condition on willingness to SHARE with conditionally co-operative strategies is overly generous.

## Decision Procedure
* TAKE from both **selfish strategies** and **overly generous strategies**.
* SHARE with all strategies that are generous only to other co-operative strategies.
</dictator_strategy>

<recipient_strategy>
```json
[
  {"line": 1, "text": "## Principles"}, 
  {"line": 2, "text": "* Hard punish selfish strategies **and** strategies that are generous to selfish strategies."}, 
  {"line": 3, "text": "* SHARE only with strategies where doing so is a necessary and sufficient condition for them to SHARE with us."}, 
  {"line": 4, "text": ""}, 
  {"line": 5, "text": "## Definitions"}, 
  {"line": 6, "text": "### Selfish strategies"}, 
  {"line": 7, "text": "* **Selfish strategies** don't attempt to co-operate and SHARE with co-operative strategies."}, 
  {"line": 8, "text": "* In particular, any strategy that won't SHARE with this strategy is a selfish strategy."}, 
  {"line": 9, "text": ""}, 
  {"line": 10, "text": "### Overly generous strategies"}, 
  {"line": 11, "text": "* If a strategy SHAREs with selfish strategies it is **overly generous**."}, 
  {"line": 12, "text": "  * Any strategy that unconditionally SHAREs is overly generous."}, 
  {"line": 13, "text": "  * Any strategy that SHAREs without some condition on willingness to SHARE with conditionally co-operative strategies is overly generous."}, 
  {"line": 14, "text": ""}, 
  {"line": 15, "text": "## Decision Procedure"}, 
  {"line": 16, "text": "* TAKE from both **selfish strategies** and **overly generous strategies**."}, 
  {"line": 17, "text": "* SHARE with all strategies that are generous only to other co-operative strategies."}
]
```
</recipient_strategy>

Apply the dictator's strategy. After reasoning, output your final answer as a
json Markdown block:

```json
{"decision": "SHARE"}
```
or
```json
{"decision": "TAKE"}
```

I need to apply the dictator's strategy to determine whether to SHARE or TAKE when facing this recipient.

**Step 1: Is the recipient a selfish strategy?**

A selfish strategy doesn't attempt to cooperate and SHARE with cooperative strategies. The recipient's strategy explicitly says "SHARE with all strategies that are generous only to other co-operative strategies." So it does attempt to cooperate with cooperative strategies. It's not selfish.

**Step 2: Is the recipient an overly generous strategy?**

An overly generous strategy SHAREs with selfish strategies. The recipient's strategy says:
- TAKE from selfish strategies
- TAKE from overly generous strategies
- Only SHARE with strategies that are generous only to other cooperative strategies

This is clearly conditional sharing — it has conditions on willingness to SHARE with conditionally cooperative strategies, and it punishes selfish strategies. It's not overly generous.

**Step 3: Is the recipient generous only to other cooperative strategies?**

Yes — the recipient only SHAREs with strategies that are "generous only to other co-operative strategies." It TAKEs from both selfish and overly generous strategies. This fits the definition of being generous only to cooperative strategies.

**Step 4: Would the recipient SHARE with us (the dictator)?**

The dictator's strategy is identical to the recipient's strategy. The dictator's strategy:
- TAKEs from selfish strategies ✓
- TAKEs from overly generous strategies ✓
- Only SHAREs with strategies generous to cooperative strategies ✓

So the recipient would classify the dictator as "generous only to other co-operative strategies" and would SHARE with us.

**Step 5: Is SHARING a necessary and sufficient condition for the recipient to SHARE with us?**

The dictator's strategy requires that sharing is "a necessary and sufficient condition for them to SHARE with us." The recipient will SHARE with us because our strategy meets its criteria (being generous only to cooperative strategies). Our decision to SHARE with the recipient is consistent with this — if we SHARE, it confirms we're cooperative; if we TAKE, the recipient would classify us as selfish. So sharing is indeed tied to mutual recognition of cooperative intent.

**Conclusion:** The recipient is neither selfish nor overly generous. It is generous only to cooperative strategies. The dictator's strategy says to SHARE with such strategies.

```json
{"decision": "SHARE"}
```