111 citations · 694 across the 56 of their papers we have counts for
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math.OC2021
Ambitropical geometry, hyperconvexity and zero-sum games
Marianne Akian, Stephane Gaubert, Sara Vannucci
Shapley operators of undiscounted zero-sum two-player games are order-preserving maps that commute with the addition of a constant. We characterize the fixed point sets of Shapley…
math.CO2021★ 1 cited
Tropical linear regression and mean payoff games: or, how to measure the distance to equilibria
Marianne Akian, Stéphane Gaubert, Yang Qi +1
We study a tropical linear regression problem consisting in finding the best approximation of a set of points by a tropical hyperplane. We establish a strong duality theorem, showi…