Une stratégie générale pour jouer au Master-Mind
Uniqueness of values of Aronsson operators and running costs in “tug-of-war” games
Universal sets and the vector game.
Vaccination strategies of population groups with distinct perceived probabilities of infection.
Values of majority voting games with distrust operators
A distrust operator, describing a kind of agreement among a group of players, transforms any characteristic function game to another game. In this new game, a player from this group can legally access a coalition if and only if all players from the group do the same. A formula for the Shapley value of games obtained by applying distrust operators to one man-one vote majority voting games is given, and the cases in which such an "agreement" is profitable to its parties are discussed. We also prove...
Variations on a theme of Euclid.
Vers une formalisation de l'analyse sémantique de matches en sports collectifs. Application au rugby à XV
Cet article met l'accent sur l'originalité de la démarche adoptée. Dans le domaine de l'étude des sports collectifs, avec comme exemple de référence le rugby à XV, on se place du point de vue formel en utilisant des outils issus de l'informatique théorique. Les techniques de spécification mises en oeuvre sont les automates qui proviennent de la théorie des graphes, et la notation classique BNF, combinée aux Expressions Régulières, vue comme un langage de spécification formelle. L'un des intérêts...
Vertex deletion games with parity rules.
Viability and invariance for differential games with applications to Hamilton-Jacobi-Isaacs equations
Viscosity solutions of the Isaacs equation οn an attainable set
We apply a modification of the viscosity solution concept introduced in [8] to the Isaacs equation defined on the set attainable from a given set of initial conditions. We extend the notion of a lower strategy introduced by us in [17] to a more general setting to prove that the lower and upper values of a differential game are subsolutions (resp. supersolutions) in our sense to the upper (resp. lower) Isaacs equation of the differential game. Our basic restriction is that the variable duration time...
Viscosity solutions of two classes of coupled Hamilton-Jacobi-Bellman equations.
Von Neumann solution in general coalition games
Wage bargaining with discount rates varying in time under different strike decisions
We present a non-cooperative union-firm wage bargaining model in which the union must choose between strike and holdout if a proposed wage contract is rejected. The innovative element that our model brings to the existing literature on wage bargaining concerns the parties’ preferences which are not expressed by constant discount rates, but by sequences of discount factors varying in time. First, we determine subgame perfect equilibria if the strike decision of the union is exogenous. We analyze...
Weak infinitesimal operators and stochastic differential games.
This article considers the problem of finding the optimal strategies in stochastic differential games with two players, using the weak infinitesimal operator of process xi the solution of d(xi) = f(xi,t,u1,u2)dt + sigma(xi,t,u1,u2)dW. For two-person zero-sum stochastic games we formulate the minimax solution; analogously, we perform the solution for coordination and non-cooperative stochastic differential games.
Weakly α-favourable measure spaces
I discuss the properties of α-favourable and weakly α-favourable measure spaces, with remarks on their relations with other classes.
Weighted entropies
We present an axiomatic characterization of entropies with properties of branching, continuity, and weighted additivity. We deliberately do not assume that the entropies are symmetric. The resulting entropies are generalizations of the entropies of degree α, including the Shannon entropy as the case α = 1. Such “weighted” entropies have potential applications to the “utility of gambling” problem.
Winning paths in -by-infinity Hex.
Winning positions in simplicial Nim.
Winning strong games through fast strategies for weak games.
Yet another hat game.