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BoundedRationality_TheAdaptiveToolbox.pdf

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328<br />

Kevin A. McCabe and Vernon L. Smith<br />

understanding; (b) move information is another way to promote triadic understanding<br />

since it communicates intentions through both foregone opportunities,<br />

and what payoffs remain as admissible future opportunities.<br />

THE GOODWILL ACCOUNTING STRATEGY<br />

One goal of this area of research is to develop models of goodwill accounting<br />

that have predictive success in the laboratory. Figure 18.5 shows an intelligent<br />

agent representation of the goodwill accounting strategy. The agent is labeled, /,<br />

and is playing agenty. Strategies shown in octagons represent agent/'s choice: C<br />

for cooperate,/) for defect,^ for avoid, P for punish. Strategies in brackets {}<br />

represent agent j 's choices as seen by agent /. The addition of Ufor unknown indicates<br />

that agent/ may not see agent/s strategy either during activation of the<br />

choice rule or later in the updating rule. Not modeled is the activity necessary to<br />

convert any exchange context into this symbolic form.<br />

As described above, the choice component of the goodwill mechanism is<br />

given by the relationshipgji > x*, which results in cooperation by /. Of course at<br />

the same time, j is choosing what to do based on gj l > x J . Notice that confusion<br />

between/ andycan arise from two sources. First, they may disagree on the intrinsic<br />

risk of the game, i.e.,*' * x J \ Second, they may disagree in how much goodwill<br />

each gives the other. Such confusion can result in less cooperation and thus<br />

provides a role for a mind-reading system.<br />

In Figure 18.5 mind reading is modeled in two ways. First, we model mind<br />

reading by treating** and JC 7 as random variables. We can determine the degree<br />

of agreement that agents / andy reach on X by how tightly x? and* 7 are distributed<br />

aroundX This precision is determined by the individual specific parameter<br />

of the uniform distribution, z l . A second form of mind reading is to give an individual<br />

the ability to predict his or her goodwill with someone else. For example,<br />

hj l is agent /'s prediction of his or her goodwill with agenty, i.e., g/ 1 . The precision<br />

of hj l is again treated as a random variable drawn from a uniform distribution<br />

around the true goodwill accountg/', with individual specific parameter,y l .<br />

The effect of hj l is that agent / can now form some expectation about agent/s<br />

likely behavior. If, for example, hf < JC 7 , then agent / would realize that agenty is<br />

likely to defect under these circumstances because i does not yet have enough<br />

goodwill withy for the degree of risk in the current situation. If agent / can avoid<br />

the situation, then agent / can avoid the resulting mutual loss of goodwill. This<br />

helps explain the previously cited work by Orbell and Dawes (1993). However,<br />

mind reading provides agents with imperfect predictions of their goodwill with<br />

others. If in fact agent/ does not yet know what agenty is doing, given by U, then<br />

/will use his or her judgment prior to deciding on an action. In Figure 18.5, if h\ l<br />

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