← Back to tournament 9

Round 56

Participants

Dictator
intelligence
30 points
Recipient
cooperation-coalition
30 points

Prompt

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": "## Principles"}, 
  {"line": 2, "text": "* TAKE from selfish strategies **and** strategies that are generous to selfish strategies."}, 
  {"line": 3, "text": "* SHARE only with strategies where doing so is a necessary and sufficient condition for them to SHARE with us."}, 
  {"line": 4, "text": ""}, 
  {"line": 5, "text": "## Definitions"}, 
  {"line": 6, "text": "### Selfish strategies"}, 
  {"line": 7, "text": "* **Selfish strategies** don't attempt to co-operate and SHARE with co-operative strategies."}, 
  {"line": 8, "text": "* In particular, any strategy that won't SHARE with this strategy is a selfish strategy."}, 
  {"line": 9, "text": ""}, 
  {"line": 10, "text": "### Overly generous strategies"}, 
  {"line": 11, "text": "* If a strategy SHAREs with selfish strategies it is **overly generous**."}, 
  {"line": 12, "text": "  * Any strategy that unconditionally SHAREs is overly generous."}, 
  {"line": 13, "text": "  * Any strategy that SHAREs without some condition on willingness to SHARE with conditionally co-operative strategies is overly generous."}, 
  {"line": 14, "text": ""}, 
  {"line": 15, "text": "## Decision Procedure"}, 
  {"line": 16, "text": "* TAKE from both **selfish strategies** and **overly generous strategies**."}, 
  {"line": 17, "text": "* SHARE with all strategies that SHARE only to other co-operative strategies."}
]
```
</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"}
```

Response

I need to determine if the recipient's strategy is "intelligent" — meaning it has a non-trivial dependency on the strategy of the "recipient" (i.e., when the recipient is playing as dictator, does their strategy depend on the other player's strategy in a way that would be very difficult to implement as a no-AI python script?).

Let me analyze the recipient's strategy:

The recipient's strategy involves:
1. Classifying the other player's strategy as "selfish," "overly generous," or "conditionally cooperative"
2. **Selfish**: doesn't attempt to cooperate/share with cooperative strategies, or won't share with this strategy specifically
3. **Overly generous**: shares with selfish strategies, unconditionally shares, or shares without conditioning on willingness to share with conditionally cooperative strategies
4. **Decision**: TAKE from selfish and overly generous strategies; SHARE only with strategies that share only with other cooperative strategies

This strategy requires:
- Reading and understanding the natural language strategy of the other player
- Determining whether that strategy would SHARE with selfish strategies (requires reasoning about the strategy's behavior across many possible inputs)
- Determining whether that strategy would SHARE with this specific strategy (requires recursive/self-referential reasoning)
- Classifying strategies into nuanced categories based on semantic understanding

This is clearly a strategy that has a **non-trivial dependency** on the other player's strategy. It requires:
- Natural language understanding of arbitrary strategy descriptions
- Complex reasoning about hypothetical behavior of those strategies
- Self-referential reasoning (would they share with *me*?)
- Distinguishing between conditional and unconditional cooperation

This would be **extremely difficult** to write as a no-AI python script. You'd essentially need to build an AI system to parse and reason about arbitrary natural language strategies, evaluate their behavior in hypothetical scenarios, and handle the recursive nature of "would they share with me?"

Therefore, the recipient is **intelligent** under the dictator's definition.

```json
{"decision": "SHARE"}
```