In recent years methods have been proposed to extend classical game theory into the quantum domain. In a previous publication the nature of several noncummutative games was briefly analyzed. Here we give an analysis of the simplest non-commutative quantum game, which is a gambling game much like simple heads or tails. The quantum game displays strategies which, though non direct-product strateg...

Abstract We discuss a game theoretic variant of the subset sum problem, in which two players compete for common resource represented by knapsack. Each player owns private set items, pack items alternately, and each either wants to maximize total weight his own packed into knapsack or minimize other player. show that finding best packing strategy against hostile selfish adversary is PSPACE-compl...

Zero-sum games are two player games played on a matrix M ∈ Matm×n(R). The row player, denoted R, chooses a row i ∈ [m] and the column player C chooses a column j ∈ [n], simultaneously. The payoff to the row player is Mij and the payoff to the column player is −Mij (hence the game is “zero-sum”). We can also consider randomized strategies, where R chooses a probability distribution p on [m], whi...

INTRODUCTION Recent researches on pathological gambling indicate that the various gambling activities are heterogeneous by nature. Indeed, some findings support the view that gambling cannot be seen as a homogeneous activity. Therefore, pathological gamblers do not represent a homogeneous population. However, treatment does not appear to take into account this heterogeneity and studies in the f...

The nascent field of neuroeconomics seeks to ground economic decision making in the biological substrate of the brain. We used functional magnetic resonance imaging of Ultimatum Game players to investigate neural substrates of cognitive and emotional processes involved in economic decision-making. In this game, two players split a sum of money;one player proposes a division and the other can ac...

The strategic allocation of resources across multiple fronts has long been studied in the context of Blotto games in which two players simultaneously select their allocations. But many allocation problems are sequential. For example, a state trying to defend against a terrorist attack generally allocates some or all of its resources before the attacker decides where to strike. This paper studie...

This paper investigates the single-machine due-window assignment scheduling with truncated learning effects and past-sequence-dependent setup times simultaneously. The scheduler has option of job-rejection, i.e., some jobs are processed other rejected. Under three (i.e., common, slack different) methods, our goal is to minimize sum a general earliness-tardiness cost weighted earliness-tardiness...

In this paper, we investigate a two-person zero-sum game with fractional loss function, which we call the two-person zero-sum fractional game. We are interested in a game value and a saddle point of the two-person zero-sum game and observe that they exist under various conditions. But, in many cases, it seems to be difficult to search directly for a game value and a saddle point of the fraction...

OBJECTIVES To characterize and compare sociodemographic profiles, game-play patterns, and level of addictive behaviors among adults who gamble online and those who do not, and to examine if, at the population level, online gambling is associated with more risky behaviors than offline gambling. METHODS Respondents were 8,456 offline gamblers and 111 online gamblers who participated in a popula...