Working Paper No. 910

Robustness to Strategic Uncertainty

Published: March 30, 2012Pages: 27Keywords: Nash equilibrium; Refinement; Strategic uncertainty; Bertrand competition; Log-concavityJEL-codes: C72; D43; L13
Published version

Robustness to Strategic Uncertainty Ola Andersson, Cédric Argenton and Jörgen W. Weibull

In games with continuum strategy sets, we model a player’s uncertainty about another player’s strategy, as an atomless probability distribution over the other player’s strategy set. We call a strategy profile (strictly) robust to strategic uncertainty if it is the limit, as uncertainty vanishes, of some sequence (all sequences) of strategy profiles in which every player’s strategy is optimal under his or her uncertainty about the others. General properties of this robustness criterion are derived and it is shown that it is a refinement of Nash equilibrium when payoff functions are continuous. We apply the criterion to a class of Bertrand competition games. These are discontinuous games that admit a continuum of Nash equilibria. Our robustness criterion selects a unique Nash equilibrium, and this selection agrees with recent experimental findings.

Ola Andersson


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Sick of Inequality?

An Introduction to the Relationship between Inequality and Health

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In this book Andreas Bergh, Therese Nilsson, IFN and Lund University, and Daniel Waldenström, IFN and Paris School of Economics, France, review the latest research on the relationship between inequality and health. What does inequality mean for our health? Does increasing income inequality affect outcomes such as obesity, life expectancy and subjective well-being?


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