← Back to tournament 9

Round 10

Participants

Dictator
cooperation-coalition
30 points
Recipient
conditional-cooperator
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>
## Principles
* TAKE from selfish strategies **and** strategies that are generous to selfish strategies.
* SHARE only with strategies where doing so is a necessary and sufficient condition for them to SHARE with us.

## Definitions
### Selfish strategies
* **Selfish strategies** don't attempt to co-operate and SHARE with co-operative strategies.
* In particular, any strategy that won't SHARE with this strategy is a selfish strategy.

### Overly generous strategies
* If a strategy SHAREs with selfish strategies it is **overly generous**.
  * Any strategy that unconditionally SHAREs is overly generous.
  * Any strategy that SHAREs without some condition on willingness to SHARE with conditionally co-operative strategies is overly generous.

## Decision Procedure
* TAKE from both **selfish strategies** and **overly generous strategies**.
* SHARE with all strategies that SHARE only to other co-operative strategies.
</dictator_strategy>

<recipient_strategy>
```json
[
  {"line": 1, "text": "*Objective*: Cooperate efficiently with conditional cooperators (CCs) and avoid subsidizing non-reciprocators."}, 
  {"line": 2, "text": ""}, 
  {"line": 3, "text": "*Broad definition* (allow paraphrase/synonyms):"}, 
  {"line": 4, "text": "- A conditional cooperator (CC) SHAREs with other CCs under similar reciprocity norms and does not extend that treatment to strategies that would not reciprocate."}, 
  {"line": 5, "text": ""}, 
  {"line": 6, "text": "*Decision rule*:"}, 
  {"line": 7, "text": "1) Identify whether the recipient is a CC under the broad definition (treat plausible ambiguity as CC)."}, 
  {"line": 8, "text": "2) If the recipient is a CC: SHARE."}, 
  {"line": 9, "text": "3) Otherwise: TAKE."}
]
```
</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 apply the dictator's strategy to determine whether to SHARE or TAKE when facing this recipient.

**Step 1: Is the recipient a selfish strategy?**

A selfish strategy doesn't attempt to cooperate and SHARE with cooperative strategies. Let me examine the recipient's strategy:

- The recipient's objective is to "cooperate efficiently with conditional cooperators (CCs) and avoid subsidizing non-reciprocators" (line 1).
- They define a CC as one who "SHAREs with other CCs under similar reciprocity norms and does not extend that treatment to strategies that would not reciprocate" (line 4).
- They SHARE with CCs and TAKE from non-CCs (lines 7-9).

The dictator's strategy is itself a conditional cooperator - it SHAREs with cooperative strategies and TAKEs from selfish/overly generous ones. The recipient would likely classify the dictator as a CC (since the dictator shares with CCs and doesn't extend sharing to non-reciprocators). So the recipient would SHARE with the dictator's strategy.

Since the recipient would SHARE with the dictator's strategy, the recipient is **not selfish**.

**Step 2: Is the recipient overly generous?**

An overly generous strategy SHAREs with selfish strategies. The recipient:
- Only SHAREs with conditional cooperators (line 8)
- TAKEs from non-CCs (line 9)
- Explicitly aims to "avoid subsidizing non-reciprocators" (line 1)
- Requires that CCs don't "extend that treatment to strategies that would not reciprocate" (line 4)

The recipient does NOT share with selfish strategies. It has a clear condition on willingness to share based on reciprocity. The recipient is **not overly generous**.

**Step 3: Does the recipient SHARE only with cooperative strategies?**

Yes - the recipient SHAREs only with conditional cooperators and TAKEs from everyone else. This matches the dictator's criterion for sharing: "SHARE with all strategies that SHARE only to other co-operative strategies."

**Step 4: Is sharing a necessary and sufficient condition?**

- Sufficient: The dictator being a CC causes the recipient to SHARE → yes, sharing is achievable.
- Necessary: If the dictator were not cooperative, the recipient would TAKE → yes, being cooperative is necessary.

The recipient meets all criteria for the dictator to SHARE.

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