We consider dynamic electromagnetic evasion-interrogation games where the evader can use ferroelectric material coatings to attempt to avoid detection while the interrogator can manipulate the interrogating frequencies to enhance detection. The resulting problem is formulated as a two-player zero-sum dynamic differential game in which the cost functional is based on the expected value of the in...

Differential games with asymmetric information were introduced by Cardaliaguet (2007). As in repeated games with lack of information on both sides (Aumann and Maschler (1995)), each player receives a private signal (his type) before the game starts and has a prior belief about his opponent’s type. Then, a differential game is played in which the dynamic and the payoff function depend on both ty...

We introduce a new approach to study subgame-perfect equilibrium payoffs in stochastic games: the differential equations approach. We apply our approach to quitting games with perfect information. Those are sequential game in which at every stage one of n players is chosen; each player is chosen with probability 1/n. The chosen player i decides whether he quits, in which case the game terminate...

We consider pursuit-evasion differential game of countable number inertial players in Hilbert space with integral constraints on the control functions of players. Duration of the game is fixed. The payoff functional is the greatest lower bound of distances between the pursuers and evader when the game is terminated. The pursuers try to minimize the functional, and the evader tries to maximize i...

We prove that for a class of zero-sum differential games with incomplete information on both sides, the value admits a probabilistic representation as the value of a zero-sum stochastic differential game with complete information, where both players control a continuous martingale. A similar representation as a control problem over discontinuous martingales was known for games with incomplete i...

This paper presents the formulation of a new concept dealing with a Robust Stackelberg equilibrium for a multi scenario or mutiple models of a linear affine-quadratic game. The game dynamic is given by a family of N different possible differential equations (MultiModel representation) with no information about the trajectory which is realized. The robust Stackelberg strategy for each player mus...

We introduce differential game logic (dGL) for specifying and verifying properties of hybrid games, i.e., determined, sequential/dynamic, non-cooperative, zero-sum games of perfect information on hybrid systems that combine discrete and continuous dynamics. Unlike hybrid systems, hybrid games allow choices in the system dynamics to be resolved by different players with different objectives. The...

This lecture continues the study of hybrid games and their logic, differential game logic [Pla15], that Lecture 20 on Hybrid Systems & Games started. Lecture 20 saw the introduction of differential game logic with a focus on identifying and highlighting the new dynamical aspect of adversarial dynamics. The meaning of hybrid games in differential game logic had been left informal, based on the i...

Introduction: Video games are common cultural issues with great influence in all societies. One of the important cognitive effects of video games is on creating stress on video players. The present research objective was to study different types of stress in players based on video game styles.  Methods: A total of 80 players, aged 18 to 30 years, played four types of video games;  Ru...

Differential games are considered an extension of optimal control problems, which are used to formulate centralized control problems in smart grids. Optimal control theory is used to study systems consisting of one agent with one objective, whereas differential games are used to formulate systems consisting of multiple agents with multiple objectives. Therefore, a differential-game-theoretic ap...