FEEM working papers "Note di lavoro" series
2013 .002

Paths to Stability in Two-sided Matching with Uncertainty

Authors: Emiliya Lazarova, Dinko Dimitrov
Series: Climate Change and Sustainable Development
Editor: Carlo Carraro
Keywords: Consistent Outcomes, One-to-One Uncertainty, Many-to-One Uncertainty, Paths to Stability, Two-Sided Matching
JEL n.: C62, C78, D71, D83


We consider one-to-one matching problems under two modalities of uncertainty that differ in the way types are assigned to agents. Individuals have preferences over the possible types of the agents from the opposite market side and initially know the “name” but not the ”type” of the other players. Learning occurs via matching and using Bayes’ rule. We introduce the notion of a stable and consistent outcome, and show how the interaction between blocking and learning behavior shapes the existence of paths to stability in each of the uncertainty environments. Existence of stable and consistent outcomes then follows as a side result.

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