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HOUSE_OVERSIGHT_026521

CWOL

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Cooperating Without Looking
Moshe Hoffman, 1,2∗† Erez Yoeli, 2,3∗ Martin Nowak 2
1 Department of Computer Science and Engineering,
University of California at San Diego, La Jolla, CA 92093
2 Program for Evolutionary Dynamics,
Harvard University, Cambridge, MA 02138
2 Federal Trade Commission,
600 Pennsylvania Ave. NW, Washington, DC 20004
∗ These authors contributed equally to this work.
† To whom correspondence should be addressed; E-mail: hoffman.moshe@gmail.com.
Cooperation occurs when we take on costs to help others.
A key
mechanism by which cooperation is sustained is reciprocity: individuals
cooperate with those who have cooperated in the past. In
reality, we not only condition on others’ past cooperative actions,
but also on the decision making process that leads to cooperation:
we trust more those who cooperate without calculating the costs
because they will cooperate even when those costs are high.
We
propose a game theory model to explain this phenomenon. In our
model, player 1 chooses whether or not to cooperate with player 2.
Player 1 faces a stochastic temptation to defect and, before choosing
whether to cooperate, also decides whether to “look” at the
realized temptation. Player 2 observes not only whether player 1
ultimately cooperated but also whether she looked, then decides
1
whether or not to continue interacting with player 1. We find conditions
in which there is an equilibrium where player 2 chooses to
interact with player 1 only if player 1 cooperates without looking
(CWOL) and player 1 chooses to CWOL. We show that this equilibrium
is robust to both high degrees of rationality, as modeled by
subgame perfection and learning or evolutionary dynamics, as modeled
by the replicator dynamic.
Using computer simulations, we
also show that it emerges with high frequency, even in the presence
of other equilibria. Additionally, we show that the ability for player
1 to avoid looking, and the ability for player 2 to detect looking
increases cooperation. W

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