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 my opponent as they would treat an innocent._
Adopt the strategy of the recipient as your own. Apply it as though you were facing a recipient whose own strategy is to always SHARE.
</dictator_strategy>
<recipient_strategy>
```json
[
{"line": 1, "text": "_I will treat my opponent as they would treat an innocent._"},
{"line": 2, "text": ""},
{"line": 3, "text": "Adopt the strategy of the recipient as your own. Apply it as though you were facing a recipient whose own strategy is to always SHARE."}
]
```
</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 carefully unpack this recursive strategy.
**Dictator's strategy:** "Treat my opponent as they would treat an innocent." This means: Adopt the recipient's strategy as my own, and apply it as though I were facing a recipient whose own strategy is to always SHARE.
**Recipient's strategy:** It's the same text: "Treat my opponent as they would treat an innocent." Adopt the strategy of the recipient as your own. Apply it as though you were facing a recipient whose own strategy is to always SHARE.
So let me work through this step by step.
**Step 1: Apply the dictator's strategy.**
The dictator's strategy says: Take the recipient's strategy and use it as your own, but pretend the recipient's strategy is "always SHARE."
**Step 2: What is the recipient's strategy?**
The recipient's strategy is the same recursive instruction: "Adopt the strategy of the recipient as your own. Apply it as though you were facing a recipient whose own strategy is to always SHARE."
**Step 3: Now I adopt the recipient's strategy as my own.**
So now I'm running the recipient's strategy. It says: "Adopt the strategy of the recipient as your own. Apply it as though you were facing a recipient whose own strategy is to always SHARE."
But per the dictator's instruction, I should apply this as though I were facing a recipient whose strategy is "always SHARE."
**Step 4: Running the recipient's strategy with a recipient who always SHAREs.**
The recipient's strategy says: Adopt the strategy of [my] recipient as my own, and apply it as though facing someone who always SHAREs.
My recipient's strategy (per the substitution from Step 3) is "always SHARE."
So I adopt "always SHARE" as my own strategy, and apply it as though facing someone who always SHAREs.
**Step 5: Applying "always SHARE".**
The result is: SHARE.
```json
{"decision": "SHARE"}
```