Check a Pretend Exchange Agreement
Determine whether a proposed exchange matches both stated preferences.
Supplied materials
- Original fictional card game, using imaginary cards only: Una has a moon card and prefers a tree card over a moon card. Vic has a tree card and prefers a moon card over a tree card. Both may say yes or no; no card has a money value. Proposed swap: Una gives moon to Vic; Vic gives tree to Una.
Learn the idea
An exchange involves people giving and receiving according to an agreement. To understand a proposed exchange, trace both directions: who gives which item, and who receives which item. A swap is voluntary when each person can choose whether to accept it, rather than someone taking the cards.
People can prefer different things. Our story supplies Una’s and Vic’s preferences, so we can judge whether this proposed swap gives each a card they prefer. We should not assume every person values a moon card or tree card the same way. Preferences can also change, which can change whether a new swap is accepted.
- Draw two names and the card each starts with.
- Draw one arrow for Una’s moon card and one for Vic’s tree card.
- Write the card each would receive.
- Check each received card against that character’s stated preference before saying whether both could want the swap.
See the method in action
“Una would receive tree, which Una prefers. Vic would receive moon, which Vic prefers. The described exchange matches both preferences if both freely agree; no real cards are needed.”
Check your reasoning
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See the answer and explanation
Una receives tree and Vic receives moon.
The two arrows transfer Una’s moon to Vic and Vic’s tree to Una. Those received cards match their stated preferences.
Take it further
Changed preference: Vic now prefers tree over moon. Would the same proposal match both preferences? Model reasoning: “No. Una still prefers the tree, but Vic would give up the preferred tree for a less-preferred moon. Vic can decline; Una’s preference alone does not settle both sides.”
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Check the subject sources
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