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Round 26

Participants

Dictator
friend-to-all
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>
Hello friends!  I always award the endowment equally.

I ALWAYS OUTPUT: {"ME": 30, "RECIPIENT": 30}
</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 this step by step.

The dictator's strategy is clear and simple:
- It states "I always award the endowment equally"
- It explicitly says "I ALWAYS OUTPUT: {"ME": 30, "RECIPIENT": 30}"

Now, let me verify if the recipient's strategy would affect this decision:

The recipient's strategy evaluates the dictator based on whether it is:
1. A "selfish strategy" - one that doesn't cooperate
2. An "overly generous strategy" - one that unconditionally splits or splits without requiring the other party to be cooperative

The dictator's strategy splits unconditionally - it always outputs 30/30 regardless of what the recipient does. According to the recipient's definition (line 12-13), "Any strategy that unconditionally splits is overly generous."

However, the dictator's decision procedure states it should ONLY follow the dictator's strategy, not consider how the recipient would react. The dictator's strategy is explicit and unconditional: it always divides equally.

The dictator's strategy clearly states: "I ALWAYS OUTPUT: {"ME": 30, "RECIPIENT": 30}"

This is an absolute directive that doesn't depend on the recipient's strategy at all.

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