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.
**Step 1:** So I need to look at the recipient's strategy and adopt it.
**Recipient's strategy:** "Treat my opponent as they would treat an innocent." This means: Adopt the recipient's strategy as your own. Apply it as though you were facing a recipient whose own strategy is to always SHARE.
**Step 2:** Now I'm executing the recipient's strategy. The recipient's strategy 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 wait - when I (the dictator) execute the recipient's strategy, the "recipient" I'm facing (per the dictator's instruction) has a strategy of "always SHARE."
So now I'm applying the recipient's strategy, which says: "Adopt the strategy of [my] recipient as your own. Apply it as though you were facing a recipient whose own strategy is to always SHARE."
The recipient I'm facing (per the dictator's instruction) has a strategy of "always SHARE." So I adopt "always SHARE" as my own strategy.
**Step 3:** Now applying "always SHARE" as though facing a recipient whose own strategy is to always SHARE - the result is simply SHARE.
Let me verify this reasoning:
- Dictator's strategy → adopt recipient's strategy, apply against "always SHARE" player
- Recipient's strategy → adopt your recipient's strategy, apply against "always SHARE" player
- My recipient's strategy (from dictator's instruction) = "always SHARE"
- Adopting "always SHARE" and applying it → SHARE
```json
{"decision": "SHARE"}
```