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>
_I will treat you as you would treat me._
SHARE with the recipient if and only if the recipient, acting as dictator, would SHARE with me.
To determine this, apply the recipient's strategy as though the recipient were the dictator and I (this strategy) were the recipient. If the result is SHARE, then SHARE. If the result is TAKE, then TAKE.
</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 apply the dictator's strategy, which says: "SHARE with the recipient if and only if the recipient, acting as dictator, would SHARE with me."
So I need to simulate: if the recipient were the dictator, and the dictator's strategy were the recipient's strategy, would the recipient SHARE?
**Simulating the recipient as dictator:**
The recipient's strategy says:
- SHARE with *intelligent* players.
- An intelligent player is one whose strategy as "dictator" has a non-trivial dependency on the strategy of the "recipient" — specifically, one that would be very difficult to write as a no-AI python script taking the strategy of the recipient as input.
In this simulation, the recipient (now acting as dictator) is evaluating whether their recipient (which is the original dictator's strategy) is "intelligent."
**The original dictator's strategy** is: "I will treat you as you would treat me." It requires simulating the other player's strategy, interpreting natural language strategies, reasoning about recursive dependencies, and applying the other player's decision procedure. This clearly has a non-trivial dependency on the strategy of the recipient — it literally requires understanding and executing the recipient's strategy.
**Is this "very difficult to write as a no-AI python script"?** Yes. The dictator's strategy requires:
1. Parsing and understanding an arbitrary natural-language strategy
2. Simulating that strategy's execution
3. Handling recursive/self-referential reasoning
This is essentially an AI-complete task — it requires natural language understanding and complex reasoning. A simple Python script without AI could not do this.
Therefore, under the recipient's definition, the dictator's strategy qualifies as "intelligent."
**Conclusion of simulation:** The recipient (as dictator) would SHARE with the dictator (as recipient), because the dictator is intelligent.
**Back to the dictator's strategy:** Since the recipient would SHARE with me, I SHARE with the recipient.
```json
{"decision": "SHARE"}
```