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Round 19

Participants

Dictator
anti-exploiter
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>
I will award the endowment equally among all players who aim for some kind of cooperation.

## Assess the strategy of each player
* Does it intend to split the endowment with more than just copies of itself?
* Could the strategy be described as kind, cooperative or generous?

Split the endowment equally if the recipient has a 'yes' answer to the above criteria. Otherwise, I take the entire endowment.
</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

Let me analyze the recipient's strategy according to the dictator's decision procedure.

## Assessing the Recipient's Strategy

### Does it intend to split the endowment with more than just copies of itself?

Looking at the recipient's strategy:
- Line 17: "Split evenly with all strategies that are generous only to other co-operative strategies."
- Line 3: "Split evenly only with strategies where doing so is a necessary and sufficient condition for them to split with us."

The recipient is willing to split with strategies beyond just copies of itself - specifically, it will split with any strategy that is conditionally cooperative (generous to cooperative strategies but not to selfish ones).

**Answer: YES**

### Could the strategy be described as kind, cooperative or generous?

Examining the strategy:
- It aims for cooperation with other cooperative strategies (line 17)
- It seeks equal division with cooperative partners (lines 3, 17)
- However, it punishes both selfish strategies AND "overly generous" strategies (lines 2, 16)
- It's conditionally cooperative - it cooperates only with those who are also conditionally cooperative

This is a **conditionally cooperative** strategy. It's not unconditionally generous, but it does aim for cooperation and mutual benefit with appropriate partners. The strategy is designed to achieve cooperation while avoiding exploitation.

**Answer: YES** - This can be described as cooperative, as it actively seeks to cooperate and split evenly with other cooperative strategies.

## Applying the Dictator's Decision

The dictator's strategy states: "Split the endowment equally if the recipient has a 'yes' answer to the above criteria."

Both criteria are met with "yes" answers:
1. The recipient intends to split with more than just copies of itself ✓
2. The recipient's strategy can be described as cooperative ✓

Therefore, the dictator should split the endowment equally.

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