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(a)
(b)
(c) (d)
Fig. 2. If agent A 1 is a ToM 0 allocator as in Example 1, he is unable to consider the
goals of responder R when making a trade offer. Instead, he offers to make a trade that
would maximize his own score.
(a) Initial situation
(b) Preferred outcome of agent A 2
(c) Beneficial trade for both agents (d) E cient beneficial trade
Fig. 3. If agent A 2 is a ToM 1 allocator as in Example 2, he considers both his own
goals, as well as the goals of the responder R and competing allocator A 1
(b) Higher payoff for R
Fig. 4. If agent A 1 is a ToM 2 allocator as in Example 3, he believes that agent A 2 also
considers the responder's goals when making an offer to her. In this case, the ToM 2
allocator A 1 chooses between two alternatives.
(a) Higher payoff for A 1
 
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