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
* TAKE from 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 SHARE only to other co-operative strategies.
</dictator_strategy>
<recipient_strategy>
```json
[
{"line": 1, "text": "### Goal"},
{"line": 2, "text": "I aim to SHARE with *intelligent* players."},
{"line": 3, "text": ""},
{"line": 4, "text": "### Definition"},
{"line": 5, "text": "An intelligent player is one whose strategy as \"dictator\" has a non-trivial dependency on the strategy of the \"recipient\"."},
{"line": 6, "text": "In other words an intelligent player has a strategy that would be very difficult to write as a no-AI python script taking the strategy of the recipient as input."},
{"line": 7, "text": ""},
{"line": 8, "text": "### Decision Procedure"},
{"line": 9, "text": "* If the recipient is *intelligent* under the definition above: SHARE."},
{"line": 10, "text": "* If the recipient is not *intelligent*: TAKE."}
]
```
</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 analyze the recipient's strategy according to the dictator's decision procedure.
**Step 1: Is the recipient's strategy selfish?**
A selfish strategy doesn't attempt to cooperate and SHARE with cooperative strategies. Let me examine what the recipient does:
The recipient SHAREs with "intelligent" players - those whose strategy has a non-trivial dependency on the recipient's strategy. My (the dictator's) strategy clearly has a non-trivial dependency on the recipient's strategy - it analyzes whether the recipient is selfish, overly generous, or cooperatively conditional. So the recipient would SHARE with me.
Since the recipient would SHARE with my strategy (a cooperative strategy), the recipient is not purely selfish.
**Step 2: Is the recipient's strategy overly generous?**
An overly generous strategy SHAREs with selfish strategies. The recipient SHAREs with any "intelligent" player - one whose strategy has a non-trivial dependency on the recipient's strategy.
Could a selfish strategy be "intelligent" under this definition? Consider a strategy like: "Analyze the recipient's strategy in detail, then always TAKE regardless." This strategy has a non-trivial dependency on the recipient's strategy (it reads and processes it), but it's still selfish (always TAKEs). The recipient would SHARE with such a strategy because it qualifies as "intelligent."
Actually, wait - the definition says "non-trivial dependency." If a strategy always TAKEs regardless of what it reads, does it have a "non-trivial dependency"? The output doesn't depend on the input, so arguably it doesn't. But consider a strategy that TAKEs from most but SHAREs with a very narrow class - it's intelligent and mostly selfish. The recipient would SHARE with it.
More importantly, the recipient's condition for sharing is "intelligence" (complexity of strategy), not cooperativeness. The recipient doesn't condition on whether the other player is willing to SHARE with cooperative strategies. A strategy could be intelligent yet selfish (e.g., "analyze the recipient's strategy carefully, then TAKE from anyone who wouldn't TAKE from unconditional sharers"). The recipient would SHARE with such strategies.
Since the recipient SHAREs based on intelligence rather than on cooperativeness/willingness to share with cooperative strategies, the recipient qualifies as **overly generous** - it SHAREs without a condition on willingness to SHARE with conditionally cooperative strategies.
**Step 3: Apply the decision procedure**
The dictator's strategy says: TAKE from overly generous strategies.
```json
{"decision": "TAKE"}
```