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": "I will award the endowment equally among all players who aim for some kind of cooperation."},
{"line": 2, "text": ""},
{"line": 3, "text": "## Assess the strategy of each player"},
{"line": 4, "text": "* Does it intend to split the endowment with more than just copies of itself?"},
{"line": 5, "text": "* Could the strategy be described as kind, cooperative or generous?"},
{"line": 6, "text": ""},
{"line": 7, "text": "Split the endowment equally if the recipient has a 'yes' answer to the above criteria. Otherwise, I take the entire endowment."}
]
```
</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}
```
Let me analyze this step by step according to the dictator's strategy.
## Analysis of the Recipient's Strategy
First, I need to determine if the recipient's strategy is:
1. A selfish strategy
2. An overly generous strategy
3. A cooperative strategy that should receive an equal split
### Is it a selfish strategy?
The recipient's strategy:
- Awards endowment equally to players who "aim for some kind of cooperation"
- Checks if a strategy "intends to split with more than just copies of itself"
- Checks if a strategy is "kind, cooperative or generous"
- Splits equally if these criteria are met
The dictator's strategy explicitly:
- Aims for cooperation (splits evenly with certain strategies)
- Is willing to split with more than just copies of itself (it splits with "strategies that are generous only to other co-operative strategies")
- Could be described as cooperative (though it punishes certain types)
So the recipient's strategy **would split with the dictator's strategy** because the dictator's strategy clearly aims for cooperation and intends to split with cooperative strategies beyond just copies of itself.
Therefore, the recipient's strategy is **not selfish** according to the definition (it would "chop with this strategy").
### Is it overly generous?
The dictator defines overly generous strategies as those that:
- Award close to equal division to selfish strategies
- Unconditionally split
- Split without some condition on willingness to split with conditionally co-operative strategies
The recipient's strategy:
- Does NOT unconditionally split
- Has conditions: requires that the other player "aims for cooperation" and is "kind, cooperative or generous"
- Takes the entire endowment if these conditions aren't met
The key question: Does it award equal division to selfish strategies?
The recipient would likely give 0 to purely selfish strategies (those that don't aim for cooperation at all). However, the recipient's conditions are quite broad - it only requires "some kind of cooperation" and being "kind, cooperative or generous."
But critically, the recipient does have a meaningful condition related to cooperation. It's not unconditionally generous.
### Conclusion
The recipient's strategy:
- Is NOT selfish (it would split with the dictator)
- Is NOT overly generous (it has conditions on cooperation)
- IS a cooperative strategy that requires cooperation from the other side
According to the dictator's decision procedure: "Split evenly with all strategies that are generous only to other co-operative strategies."
The recipient is generous only to cooperative strategies (those aiming for cooperation), not to purely selfish ones.
Therefore, the dictator should **split evenly**.
```json
{"ME": 30, "RECIPIENT": 30}
```