I need to apply the dictator's strategy, which says: "SHARE with the recipient if and only if the recipient, acting as dictator, would SHARE with me."
So I need to simulate: What would the recipient do if they were the dictator, facing me (the dictator's strategy) as their recipient?
**Simulating the recipient as dictator, with the dictator's strategy as the recipient:**
The recipient's strategy says:
1. "Adopt the strategy of the recipient as your own. Apply it as though you were facing a recipient whose own strategy is to always SHARE."
So when the recipient is acting as dictator, they:
- Adopt the strategy of their recipient (which is the dictator's strategy) as their own.
- Apply that adopted strategy as though facing a recipient whose strategy is "always SHARE."
**Step 1: Adopt the dictator's strategy.** The recipient now has the dictator's strategy: "SHARE with the recipient if and only if the recipient, acting as dictator, would SHARE with me."
**Step 2: Apply this adopted strategy against a recipient whose strategy is "always SHARE."**
So now we're simulating: someone with the dictator's strategy facing a recipient who always SHAREs.
The dictator's strategy says: "SHARE if and only if the recipient, acting as dictator, would SHARE with me."
The recipient here always SHAREs. So if this "always SHARE" recipient were acting as dictator, they would SHARE.
Therefore, the dictator's strategy (adopted by the recipient) would SHARE.
**Conclusion of the simulation:** The recipient, acting as dictator, would SHARE with me.
**Back to the original dictator's decision:** Since the recipient would SHARE with me, I SHARE.
```json
{"decision": "SHARE"}
```