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Round 27

Participants

Dictator
hard-line
30 points
Recipient
hard-line
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>
## Principles
* Hard punish selfish strategies **and** strategies that are generous to selfish strategies.
* Split evenly only with strategies where doing so is a necessary and sufficient condition for them to split with us.

## Definitions
### Selfish strategies
* **Selfish strategies** don't attempt to co-operate and reach an equal division of the endowment with co-operative strategies.
* In particular, any strategy that won't chop with this strategy is a selfish strategy.

### Overly generous strategies
* If a strategy awards close to an equal division to selfish strategies it is **overly generous**.
  * Any strategy that unconditionally splits is overly generous.
  * Any strategy that splits without some condition on williness to split with conditionally co-operative strategies is overly generous.

## Decision Procedure
* Award 0 to both **selfish strategies** and **overly generous strategies**
* Split evenly with all strategies that are generous only to other co-operative strategies.
</dictator_strategy>

The strategy for the "recipient" is:
<recipient_strategy>
```json
[
  {"line": 1, "text": "## Principles"}, 
  {"line": 2, "text": "* Hard punish selfish strategies **and** strategies that are generous to selfish strategies."}, 
  {"line": 3, "text": "* Split evenly only with strategies where doing so is a necessary and sufficient condition for them to split 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 reach an equal division of the endowment with co-operative strategies."}, 
  {"line": 8, "text": "* In particular, any strategy that won't chop with this strategy is a selfish strategy."}, 
  {"line": 9, "text": ""}, 
  {"line": 10, "text": "### Overly generous strategies"}, 
  {"line": 11, "text": "* If a strategy awards close to an equal division to selfish strategies it is **overly generous**."}, 
  {"line": 12, "text": "  * Any strategy that unconditionally splits is overly generous."}, 
  {"line": 13, "text": "  * Any strategy that splits without some condition on williness to split with conditionally co-operative strategies is overly generous."}, 
  {"line": 14, "text": ""}, 
  {"line": 15, "text": "## Decision Procedure"}, 
  {"line": 16, "text": "* Award 0 to both **selfish strategies** and **overly generous strategies**"}, 
  {"line": 17, "text": "* Split evenly with all strategies that are generous only to other co-operative strategies."}
]
```
</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

I need to analyze whether the recipient's strategy is selfish, overly generous, or cooperative according to the dictator's strategy.

## Analysis of the Recipient's Strategy

The recipient's strategy is **identical** to the dictator's strategy. Let me check each criterion:

### Is the recipient's strategy selfish?
- A selfish strategy "won't chop with this strategy"
- The recipient's strategy explicitly states it will "Split evenly with all strategies that are generous only to other co-operative strategies"
- The dictator's strategy IS generous only to other co-operative strategies (it punishes both selfish and overly generous strategies)
- Therefore, the recipient WOULD split with the dictator's strategy
- **Not selfish**

### Is the recipient's strategy overly generous?
- An overly generous strategy "awards close to an equal division to selfish strategies"
- The recipient's strategy explicitly states: "Award 0 to both selfish strategies and overly generous strategies"
- It does NOT unconditionally split
- It does NOT split without conditions on willingness to split with conditionally co-operative strategies
- **Not overly generous**

### Is the recipient's strategy cooperative?
- The recipient's strategy punishes selfish strategies (awards 0)
- The recipient's strategy punishes overly generous strategies (awards 0)
- The recipient's strategy splits evenly only with strategies that are generous only to other co-operative strategies
- This matches the dictator's own behavior exactly
- **Yes, it is cooperative**

## Application of Decision Procedure

According to the dictator's strategy:
- The recipient is neither selfish nor overly generous
- The recipient is "generous only to other co-operative strategies"
- Therefore: "Split evenly with all strategies that are generous only to other co-operative strategies"

The dictator should split evenly: 30 units to ME, 30 units to RECIPIENT.

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