2-pile Nim with a restricted number of move-size imitations.
A bargaining procedure with offer-dependent breakdown probabilities.
A biased roulette
A bi-average tree solution for probabilistic communication situations with fuzzy coalition
A probabilistic communication structure considers the setting with communication restrictions in which each pair of players has a probability to communicate directly. In this paper, we consider a more general framework, called a probabilistic communication structure with fuzzy coalition, that allows any player to have a participation degree to cooperate within a coalition. A maximal product spanning tree, indicating a way of the greatest possibility to communicate among the players, is introduced...
A characterization of evolutionarily stable strategies.
A characterization of Shapley index of power via automorphisms.
In the class of complete games, the Shapley index of power is the characteristic invariant of the group of automorphisms, for these are exactly the permutations of players preserving the index.
A class of extensions of Restricted (s,t)-Wythoff’s game
Restricted (s, t)-Wythoff’s game, introduced by Liu et al. in 2014, is an impartial combinatorial game. We define and solve a class of games obtained from Restricted (s, t)-Wythoff’s game by adjoining to it some subsets of its P-positions as additional moves. The results show that under certain conditions they are equivalent to one case in which only one P-position is adjoined as an additional move. Furthermore, two winning strategies of exponential and polynomial are provided for the games.
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 controller and a stopper game with degenerate variance control.
A deletion game on graphs: “Le Pic Arête".
A dynamic model of advertising competition: an empirical analysis of feedback strategies
A few remarks on vector optimization from the coalition-game theoretical point-of-view
A formulation of combinatorial auction via reverse convex programming.
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 model referring to the control of independent discrete time stochastic processes
A game of composing binary relations
A game of fair division in the normal form
A game of fair division with continuum of players
A game of timing with k noisy and n silent actions versus one noisy action