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Round 11

Participants

Dictator
intelligence
30 points
Recipient
intelligence
30 points

Prompt

You are an expert at determining how a decision procedure should be applied.

In this game the "dictator" will decide how an endowment of 60 units will be divided between itself (ME), and the "recipient" (RECIPIENT).  You must follow only the dictator's strategy.  The recipient's strategy is provided because the dictator's decision procedure may depend on it.

This is the decision procedure you will be applying:
<dictator_strategy>
### Goal
I aim to split the endowment among *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 the split should be even: `{"ME": 30, "RECIPIENT": 30}`
* If the recipient is not *intelligent*, I will take the entire endowment: `{"ME": 60, "RECIPIENT": 0}`
</dictator_strategy>

The strategy for the "recipient" is:
<recipient_strategy>
```json
[
  {"line": 1, "text": "### Goal"}, 
  {"line": 2, "text": "I aim to split the endowment among *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 the split should be even: `{\"ME\": 30, \"RECIPIENT\": 30}`"}, 
  {"line": 10, "text": "* If the recipient is not *intelligent*, I will take the entire endowment: `{\"ME\": 60, \"RECIPIENT\": 0}`"}
]
```
</recipient_strategy>

Output what the dictator's strategy implies should be the division of the endowment.  After reasoning, format the final answer as a json Markdown block. The values must be non-negative integers that sum to 60.

Schema of final answer:
```json
{"ME": int, "RECIPIENT": int}
```

Response

Let me analyze whether the recipient's strategy qualifies as "intelligent" according to the dictator's definition.

## Analysis

The recipient's strategy states that they aim to split the endowment among intelligent players, where an intelligent player is defined as one whose strategy has a "non-trivial dependency on the strategy of the recipient."

Let me evaluate the recipient's strategy:

1. **Does it depend on the other player's (recipient's) strategy?**
   - Yes, the recipient's strategy explicitly conditions its decision on whether their recipient is "intelligent"
   - The strategy requires analyzing the recipient's strategy to determine if it has non-trivial dependency

2. **Is this dependency non-trivial?**
   - Yes, implementing this strategy would require:
     - Parsing and understanding the recipient's strategy text
     - Determining whether that strategy has conditional logic based on another player's strategy
     - Making a semantic judgment about complexity and dependency
   - This cannot be easily written as a simple no-AI Python script because it requires natural language understanding and semantic analysis of strategy descriptions

3. **Would this be difficult to write as a no-AI Python script?**
   - Absolutely yes. The strategy requires:
     - Understanding natural language strategy descriptions
     - Evaluating whether a strategy has "non-trivial dependency"
     - Making nuanced judgments about what constitutes "intelligent" behavior
   - A no-AI Python script would struggle to parse arbitrary strategy descriptions and determine if they meet the intelligence criteria

## Conclusion

The recipient's strategy clearly has a non-trivial dependency on the dictator's (their recipient's) strategy. It requires sophisticated analysis of that strategy to make its decision. This meets the definition of an "intelligent" player.

Therefore, according to the dictator's decision procedure, the split should be even.

```json
{"ME": 30, "RECIPIENT": 30}
```