0000000000375773
AUTHOR
Rohan Dutta
Collusion Constrained Equilibrium
First published: 01 February 2018 This is an open access article licensed under the Creative Commons Attribution-NonCommercial License 4.0 (http://econtheory.org) We study collusion within groups in noncooperative games. The primitives are the preferences of the players, their assignment to nonoverlapping groups, and the goals of the groups. Our notion of collusion is that a group coordinates the play of its members among different incentive compatible plans to best achieve its goals. Unfortunately, equilibria that meet this requirement need not exist. We instead introduce the weaker notion of collusion constrained equilibrium. This allows groups to put positive probability on alternatives …
Interventions with Sticky Social Norms: A Critique
Abstract We study the consequences of policy interventions when social norms are endogenous but costly to change. In our environment, a group faces a negative externality that it partially mitigates through incentives in the form of punishments. In this setting, policy interventions can have unexpected consequences. The most striking is that when the cost of bargaining is high, introducing a Pigouvian tax can increase output—yet in doing so increase welfare. An observer who saw that an increase in a Pigouvian tax raised output might wrongly conclude that this harmed welfare and that a larger tax increase would also raise output. This counter-intuitive impact on output is demonstrated theore…
Damned If You Do and Damned If You Don’t: Two Masters
Available online: 05 June 2018 We study common agency problems in which two principals (groups) make costly commitments to incentives that are conditioned on imperfect signals of the agent's action. Our framework allows for incentives to be either rewards or punishments. For our basic model we obtain a unique equilibrium, which typically involves randomization by both principals. Greater similarity between principals leads to more aggressive competition. The principals weakly prefer punishment to rewards, sometimes strictly. With rewards an agent voluntarily joins both groups with punishment it depends on whether severe punishments are feasible and cheap for the principals. We study whether…
The whip and the Bible : punishment versus internalization
First published online: 27 August 2021 A variety of experimental and empirical research indicate that prosocial behavior is important for economic success. There are two sources of prosocial behavior: incentives and preferences. The latter, the willingness of individuals to “do their bit” for the group, we refer to as internalization, because we view it as something that a group can influence by appropriate investment. This implies that there is a trade-off between using incentives and internalization to encourage prosocial behavior. By examining this trade-off we shed light on the connection between social norms observed inside the laboratory and those observed outside in the field. For ex…
Failing to Provide Public Goods: Why the Afghan Army Did Not Fight
The theory of public goods is mainly about the difficulty in paying for them. Our question here is this: Why might public goods not be provided, even if funding is available? We use the Afghan Army as our case study. We explore this issue using a simple model of a public good that can be provided through collective action and peer pressure, by modeling the self-organization of a group (the Afghan Army) as a mechanism design problem. We consider two kinds of transfer subsidies from an external entity such as the U.S. government. One is a Pigouvian subsidy that simply pays the salaries, rewarding individuals who provide effort. The second is an output/resource multiplier (the provision of mil…
Collusion constrained equilibrium
We study collusion within groups in non-cooperative games. The primitives are the preferences of the players, their assignment to non-overlapping groups and the goals of the groups. Our notion of collusion is that a group coordinates the play of its members among different incentive compatible plans to best achieve its goals. Unfortunately, equilibria that meet this requirement need not exist. We instead introduce the weaker notion of collusion constrained equilibrium. This allows groups to put positive probability on alternatives that are suboptimal for the group in certain razor's edge cases where the set of incentive compatible plans changes discontinuously. These collusion constrained e…