A class of two-person zero-sum matrix games with rough payoffs.
A classical decision theoretic perspective on worst-case analysis
We examine worst-case analysis from the standpoint of classical Decision Theory. We elucidate how this analysis is expressed in the framework of Wald's famous Maximin paradigm for decision-making under strict uncertainty. We illustrate the subtlety required in modeling this paradigm by showing that information-gap's robustness model is in fact a Maximin model in disguise.
A deletion game on graphs: “Le Pic Arête".
A game interpretation of the Neumann problem for fully nonlinear parabolic and elliptic equations
We provide a deterministic-control-based interpretation for a broad class of fully nonlinear parabolic and elliptic PDEs with continuous Neumann boundary conditions in a smooth domain. We construct families of two-person games depending on a small parameter ε which extend those proposed by Kohn and Serfaty [21]. These new games treat a Neumann boundary condition by introducing some specific rules near the boundary. We show that the value function converges, in the viscosity sense, to the solution...
A game of timing with k noisy and n silent actions versus one noisy action
A generalized Amman's fixed point theorem and its application to Nash equlibrium.
A gradient-type algorithm for the numerical solution of two-player zero-sum differential game problems
A k-noisy, n-silent vs. one-noisy duel with equal accuracy functions
A minmax problem for parabolic systems with competitive interactions.
A mixed game of timing: investigation of strategies
A mixed game of timing: problem of optimality
A noisy duel under arbitrary moving. I
A noisy duel under arbitrary moving. II
A noisy duel under arbitrary moving. III
A noisy duel under arbitrary moving. IV
A noisy duel under arbitrary moving. V
A noisy duel under arbitrary moving. VI
A note on a two-person zero-sum game stimulated by a Markov chain
A note on 'Big Match'
We present a very simple proof of the existence of the value for 'Big Match' first shown by Blackwell and Ferguson (1968).
A note on “Big-Match”