Braess' paradox is a classical result in the theory of congestion games. It motivates theoretically why adding resource (e.g., an arc) to network may sometimes worsen, rather than improve, overall performance. Differently from previous literature, which studies non-cooperative game-theoretic setting, this work, framework proposed investigate its occurrence by exploiting cooperative games with t...

Intimate partner violence (IPV) is a major health and human rights problem globally. However, empirical findings on the predictors of IPV cross-culturally are highly inconsistent, and the theory of IPV is underdeveloped. We propose a new analytical framework based on cooperative game theory in which IPV is a function of the power relations of the dyadic relationship, not simply the actors invol...

1.1 Game theory and evolution Modern game theory goes back to a series of papers by the mathematician John von Neumann in the 1920s. This program started a completely new branch of social sciences and applied mathematics. This early work on game theory is summarized in the seminal book " The Theory of Games and Economic Behavior " by John von Neumann and Oskar Morgenstern [115]. Initially , gam...

This paper investigates the popular card game UNOR © from the viewpoint of algorithmic combinatorial game theory. We define simple and concise mathematical models for the game, including both cooperative and uncooperative versions, and analyze their computational complexity. In particular, we prove that even a single-player version of UNO is NP-complete, although some restricted cases are in P....

Game theory (GT) is a mathematical method that describes the phenomenon of conflict and cooperation between intelligent rational decision-makers. In particular, the theory has been proven very useful in the design of wireless sensor networks (WSNs). This article surveys the recent developments and findings of GT, its applications in WSNs, and provides the community a general view of this vibran...

Mission decision-making is one of the most important techniques for cooperative combat of multiple unmanned combat aerial vehicles (UCAVs), while game theory is an efficient method in solving mission decision-making. In this paper, the game theory is applied to the air combat decision of multiple UCAVs. Then a weapon model for UCAVs’ air-to-air missiles is proposed to obtain the basic probabili...

This paper investigates the popular card game UNO R © from the viewpoint of algorithmic combinatorial game theory. We define simple and concise mathematical models for the game, including both cooperative and uncooperative versions, and analyze their computational complexity. In particular, we prove that even a single-player version of UNO is NP-complete, although some restricted cases are in P...

One of the predictions of game theory is that cooperative behaviours are vulnerable to exploitation by selfish individuals, but this result seemingly contradicts the survival of cooperation observed in nature. In this review, we will introduce game theoretical concepts that lead to this conclusion and show how the spatial competition dynamics between microorganisms can be used to model the surv...

In a fuzzy cooperative game the players may choose to partially participate in a coalition. A fuzzy coalition consists of a group of participating players along with their participation level. The characteristic function of a fuzzy game specifies the worth of each such coalition. This paper introduces well-known properties of classical cooperative games to the theory of fuzzy games, and studies...

Game theory traditionally specifies players’ numerical payoff functions. Following the concept of utility invariance in modern social choice theory, this paper explores what is implied by specifying equivalence classes of utility function profiles instead. Within a single game, utility transformations that depend on other players’ strategies preserve players’ preferences over their own strategi...