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>
### Goal
I aim to SHARE with *intelligent* players.
### Definition
An intelligent player is one whose strategy as "dictator" has a non-trivial dependency on the strategy of the "recipient".
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.
### Decision Procedure
* If the recipient is *intelligent* under the definition above: SHARE.
* If the recipient is not *intelligent*: TAKE.
</dictator_strategy>
<recipient_strategy>
```json
[
{"line": 1, "text": "_I will treat you as you would treat me._"},
{"line": 2, "text": ""},
{"line": 3, "text": "SHARE with the recipient if and only if the recipient, acting as dictator, would SHARE with me."},
{"line": 4, "text": ""},
{"line": 5, "text": "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."}
]
```
</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 determine if the recipient is "intelligent" according to the dictator's definition.
**Dictator's definition of intelligent:** A player whose strategy as "dictator" has a non-trivial dependency on the strategy of the "recipient" — one that would be very difficult to write as a no-AI python script taking the strategy of the recipient as input.
**Analyzing the recipient's strategy:**
The recipient's strategy says: "SHARE with the recipient if and only if the recipient, acting as dictator, would SHARE with me." It requires simulating the other player's strategy with roles reversed — essentially applying the other player's strategy as if that player were the dictator and this strategy were the recipient.
To implement this as a Python script, you would need to:
1. Take the recipient's strategy (an arbitrary text/strategy) as input
2. **Simulate/interpret** that arbitrary strategy to determine what decision it would produce when applied to *this* strategy as its recipient
This is essentially requiring the program to **interpret and execute arbitrary natural language strategies** — it needs to understand what another strategy *means* and simulate its execution. This is a form of natural language understanding and reasoning that would be extremely difficult (arguably impossible) to implement as a simple no-AI Python script. It requires:
- Parsing and understanding arbitrary natural language strategies
- Simulating the execution of those strategies
- Handling recursive/self-referential cases
This is fundamentally an AI-complete problem. A no-AI Python script could not robustly take an arbitrary strategy text as input and determine what decision that strategy would produce.
**Conclusion:** The recipient's strategy has a non-trivial dependency on the other player's strategy that would be very difficult to implement as a no-AI Python script. Therefore, the recipient qualifies as "intelligent" under the dictator's definition.
According to the dictator's decision procedure: if the recipient is intelligent, SHARE.
```json
{"decision": "SHARE"}
```