Francesc Dilme: Lexicographic Numbers in Extensive Form Games
Seminars - Economic Theory, Decision Theory and Experimental Economics
FRANCESC DILME, University of Bonn
This paper introduces the space of (lexicographic) l-numbers and uses it to analyze extensive-form games. l-Numbers are a simplified, two-dimensional version of the hyperreal numbers, with straightforward operations that make it easy to work with infinitesimal probabilities. We use l-numbers to provide simple characterizations of tremble-based equilibrium concepts, such as sequential equilibria or sequential stable outcomes, without using sequences of strategy profiles.
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