Restraint and resolve in game theory

Nobel Prize winner Roger Myerson has written a very accessible paper on what game theory can teach powerful states about when it’s useful to impose binding constraints on their actions. Here’s the abstract: A great power?s use of its military forces may be rendered ineffective or even counterproductive when there are no clear internationally recognizable ...

By , a professor of international politics at the Fletcher School of Law and Diplomacy at Tufts University and co-host of the Space the Nation podcast.

Nobel Prize winner Roger Myerson has written a very accessible paper on what game theory can teach powerful states about when it's useful to impose binding constraints on their actions. Here's the abstract: A great power?s use of its military forces may be rendered ineffective or even counterproductive when there are no clear internationally recognizable limits on this use of force. Professor Myerson derives this conclusion from the basic observation that our ability to influence potential rivals depends on a balanced mix of threats and promises. Potential adversaries should believe that aggression will be punished, but such threats will be useless unless they also believe our promises that good behavior will be better rewarded. A reputation for resolve makes threats credible, but a great power also needs a reputation for restraint, to make the promises credible as well. Thus, international restraints on a nation?s use of military force may actually increase the effective influence of its military strength.Here's a link to the paper itself. No one familiar with Tom Schelling will be surprised, but Myerson's presentation is extraordinarily lucid. The most important paragraph: Thus, if we want our application of military force to deter our potential adversaries, rather than stimulate them to more militant reactions against us, then we should make sure that the limits of our forceful actions are clear to any potential adversaries. We need a reputation for responding forcefully against aggression, but we also need a reputation for restraining our responses within clear limits that depend in a generally recognized way on the nature of the provocation. These limits must be clear to our potential adversaries, who must be able to verify that we are adhering to the limits of our deterrent strategy, because it is they whom we are trying to influence and deter.

Nobel Prize winner Roger Myerson has written a very accessible paper on what game theory can teach powerful states about when it’s useful to impose binding constraints on their actions. Here’s the abstract:

A great power?s use of its military forces may be rendered ineffective or even counterproductive when there are no clear internationally recognizable limits on this use of force. Professor Myerson derives this conclusion from the basic observation that our ability to influence potential rivals depends on a balanced mix of threats and promises. Potential adversaries should believe that aggression will be punished, but such threats will be useless unless they also believe our promises that good behavior will be better rewarded. A reputation for resolve makes threats credible, but a great power also needs a reputation for restraint, to make the promises credible as well. Thus, international restraints on a nation?s use of military force may actually increase the effective influence of its military strength.

Here’s a link to the paper itself. No one familiar with Tom Schelling will be surprised, but Myerson’s presentation is extraordinarily lucid. The most important paragraph:

Thus, if we want our application of military force to deter our potential adversaries, rather than stimulate them to more militant reactions against us, then we should make sure that the limits of our forceful actions are clear to any potential adversaries. We need a reputation for responding forcefully against aggression, but we also need a reputation for restraining our responses within clear limits that depend in a generally recognized way on the nature of the provocation. These limits must be clear to our potential adversaries, who must be able to verify that we are adhering to the limits of our deterrent strategy, because it is they whom we are trying to influence and deter.

Daniel W. Drezner is a professor of international politics at the Fletcher School of Law and Diplomacy at Tufts University and co-host of the Space the Nation podcast. Twitter: @dandrezner

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