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Social and Behavioral Sciences Commons

Open Access. Powered by Scholars. Published by Universities.®

2011

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Yale University

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Articles 1 - 4 of 4

Full-Text Articles in Social and Behavioral Sciences

Robust Predictions In Games With Incomplete Information, Dirk Bergemann, Stephen Morris Sep 2011

Robust Predictions In Games With Incomplete Information, Dirk Bergemann, Stephen Morris

Cowles Foundation Discussion Papers

We analyze games of incomplete information and offer equilibrium predictions which are valid for all possible private information structures that the agents may have. Our characterization of these robust predictions relies on an epistemic result which establishes a relationship between the set of Bayes Nash equilibria and the set of Bayes correlated equilibria. We completely characterize the set of Bayes correlated equilibria in a class of games with quadratic payoffs and normally distributed uncertainty in terms of restrictions on the first and second moments of the equilibrium action-state distribution. We derive exact bounds on how prior information of the analyst …


Robust Predictions In Games With Incomplete Information, Dirk Bergemann, Stephen Morris Sep 2011

Robust Predictions In Games With Incomplete Information, Dirk Bergemann, Stephen Morris

Cowles Foundation Discussion Papers

We analyze games of incomplete information and offer equilibrium predictions which are valid for, and in this sense robust to, all possible private information structures that the agents may have. The set of outcomes that can arise in equilibrium for some information structure is equal to the set of Bayes correlated equilibria. We completely characterize the set of Bayes correlated equilibria in a class of games with quadratic payoffs and normally distributed uncertainty in terms of restrictions on the first and second moments of the equilibrium action-state distribution. We derive exact bounds on how prior knowledge about the private information …


Robust Predictions In Games With Incomplete Information, Dirk Bergemann, Stephen Morris Sep 2011

Robust Predictions In Games With Incomplete Information, Dirk Bergemann, Stephen Morris

Cowles Foundation Discussion Papers

We analyze games of incomplete information and offer equilibrium predictions which are valid for, and in this sense robust to, all possible private information structures that the agents may have. We completely characterize the set of Bayes correlated equilibria in a class of games with quadratic payoffs and normally distributed uncertainty in terms of restrictions on the first and second moments of the equilibrium action-state distribution. We derive exact bounds on how prior knowledge about the private information refines the set of equilibrium predictions. We consider information sharing among firms under demand uncertainty and find newly optimal information policies via …


Robust Predictions In Games With Incomplete Information, Dirk Bergemann, Stephen Morris Sep 2011

Robust Predictions In Games With Incomplete Information, Dirk Bergemann, Stephen Morris

Cowles Foundation Discussion Papers

We analyze games of incomplete information and offer equilibrium predictions which are valid for, and in this sense robust to, all possible private information structures that the agents may have. We completely characterize the set of Bayes correlated equilibria in a class of games with quadratic payoffs and normally distributed uncertainty in terms of restrictions on the first and second moments of the equilibrium action-state distribution. We derive exact bounds on how prior knowledge about the private information refines the set of equilibrium predictions. We consider information sharing among firms under demand uncertainty and find newly optimal information policies via …