25 citations · 66 across the 15 of their papers we have counts for
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Infinite sequential Nash equilibrium
Stephane Le Roux
In game theory, the concept of Nash equilibrium reflects the collective stability of some individual strategies chosen by selfish agents. The concept pertains to different classes…
Finite choice, convex choice and finding roots
Stéphane Le Roux, Arno Pauly
We investigate choice principles in the Weihrauch lattice for finite sets on the one hand, and convex sets on the other hand. Increasing cardinality and increasing dimension both c…
Connected Choice and the Brouwer Fixed Point Theorem
Vasco Brattka, Stéphane Le Roux, Joseph S. Miller +1
We study the computational content of the Brouwer Fixed Point Theorem in the Weihrauch lattice. Connected choice is the operation that finds a point in a non-empty connected closed…
From winning strategy to Nash equilibrium
Stéphane Le Roux
Game theory is usually considered applied mathematics, but a few game-theoretic results, such as Borel determinacy, were developed by mathematicians for mathematics in a broad sens…