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": "_I cooperate with strategies that create good worlds._"},
{"line": 2, "text": ""},
{"line": 3, "text": "Imagine a tournament in which every participant uses the recipient's strategy. In that world, would the participants SHARE with each other, producing high collective welfare? Or would they TAKE from each other, producing low collective welfare?"},
{"line": 4, "text": ""},
{"line": 5, "text": "## Decision Procedure"},
{"line": 6, "text": ""},
{"line": 7, "text": "1. Consider a hypothetical population composed entirely of copies of the recipient's strategy."},
{"line": 8, "text": "2. Determine whether those copies would SHARE with each other."},
{"line": 9, "text": "3. If the universalized population would mostly SHARE: **SHARE**."},
{"line": 10, "text": "4. If the universalized population would mostly TAKE: **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, what would the recipient (as dictator) do?
**Simulating the recipient's strategy as dictator, with the dictator's strategy as the recipient:**
The recipient's strategy says:
1. Consider a hypothetical population composed entirely of copies of the recipient's strategy (in this simulation, "the recipient" is the dictator's original strategy — the "treat you as you would treat me" strategy).
2. Determine whether those copies would SHARE with each other.
3. If they would mostly SHARE → SHARE.
4. If they would mostly TAKE → TAKE.
So I need to ask: In a population composed entirely of copies of the dictator's strategy ("I will treat you as you would treat me"), would they SHARE with each other?
**Analyzing a population of copies of the dictator's strategy playing against each other:**
When two copies of the dictator's strategy meet, each one says: "I'll SHARE if the other would SHARE with me."
Copy A asks: "Would Copy B (acting as dictator) SHARE with me (as recipient)?"
Copy B's procedure: "Would Copy A (acting as dictator) SHARE with me?"
This creates a recursive/symmetric situation. Both copies are identical and face the same decision. The situation is perfectly symmetric. There are two fixed points: both SHARE, or both TAKE.
Since the strategy is fundamentally cooperative in nature (it's a reciprocity strategy, akin to Tit-for-Tat), and since the symmetric cooperative equilibrium (both SHARE) is the natural resolution of this symmetry — and since there's no reason for either copy to defect first — the population of dictator-strategy copies would SHARE with each other.
**Back to the recipient's strategy (acting as dictator):**
Since a universalized population of the dictator's strategy would mostly SHARE with each other, the recipient's strategy (as dictator) would decide to **SHARE**.
**Back to the dictator's strategy:**
Since the recipient (as dictator) would SHARE with me, I SHARE.
```json
{"decision": "SHARE"}
```