As demonstrated by Ratliff et al. (2014), inverse optimization can be used to recover the objective function parameters of players in multi-player Nash games. These games involve problems multiple which affect each other their functions. In generalized equilibrium (GNEPs), a player’s set feasible actions is also impacted taken game. We extend framework (2014) find solutions for specific class G...

The paper is focused on construction of solution for bimatrix evolutionary games basing on methods of the theory of optimal control and generalized solutions of Hamilton-Jacobi-Bellman equations. It is assumed that the evolutionary dynamics describes interactions of agents in large population groups in biological and social models or interactions of investors on financial markets. Interactions ...

Game theory models decision makers' behaviors in strategic situations. Since the structures of games are different, behavior and preferences of the players are different in various types of game. This paper reviews various situations of games. Here, characteristics of some common games are discussed and compared. Specifically, we focus on a group of games called symmetric games including Prison...

Boolean games, introduced by [15, 14], allow for expressing compactly two-players zero-sum static games with binary preferences: an agent’s strategy consists of a truth assignment of the propositional variables she controls, and a player’s preferences is expressed by a plain propositional formula. These restrictions (two-players, zero-sum, binary preferences) strongly limit the expressivity of ...

Our review examines the literature on Serious Games used as learning tools for people with intellectual disabilities. Although intellectual disabilities are a very broad field where each individual has very specific characteristics, it would be beneficial to have general evidence-based recommendations about how to design videogames adapted to their cognitive requirements. Thus, the first step o...

We present Generalized Proof Number Search (GPNS), a Proof Number based algorithm able to prove positions in games with multiple outcomes. GPNS is a direct generalization of Proof Number Search (PNS) in the sense that both behave exactly the same way in games with two outcomes. However, GPNS targets a wider class of games. When a game features more than two outcomes, PNS can be used multiple ti...

A large-scale content analysis of characters in video games was employed to answer questions about their representations of gender, race and age in comparison to the US population. The sample included 150 games from a year across nine platforms, with the results weighted according to game sales. This innovation enabled the results to be analyzed in proportion to the games that were actually pla...

We construct a statistical ensemble of games, where in each independent subensemble we have two players playing the same game. We derive the mean payoffs per move of the representative players of the game, and we evaluate all the deterministic policies with finite memory. In particular, we show that if one of the players has a generalized tit-for-tat policy, the mean payoff per move of both pla...