This is an Open Access textbook on non-cooperative Game Theory with 165 solved exercises.

In this paper, we investigate the problems of consensus-making among institution in stock exchange with multiple criteria for evaluating performance when the players (institutions) are supposed to be egoistic and the score for each criterion for a player is supposed to be a positive score. Each player sticks to his superiority regarding the criteria. This paper introduces the models for computi...

Note: This is a only a draft version, so there could be flaws. If you find any errors, please do send email to [email protected]. A more thorough version would be available soon in this space. The Nash bargaining problem represents one of the earliest and most influential results in cooperative game theory. Given two rational and intelligent players and a set of feasible allocations from a...

The main problem of the today’s IEEE 802.11 WLANs is the small number of available channels. In this paper we focus on a novel way of maximization of the network throughput and the provision of fairness which are key challenges in IEEE WLANs, using Game Theory. We examine two types of power control games, namely the non-cooperative and the cooperative power control game. In the case of non-coop...

[ISSN: 2045-7057] www.ijmse.org 5 Abstract—Due to its capability to solve the situations of conflict and competition, Game Theory has been used as a mathematical tool in economics, politics, biology and human psychology. Nash Equilibrium, being the solution of a non-cooperative game, gives a stable state in a sense that no agent/player have any positive incentive to deviate from its current ado...

In this paper, we approach the classical problem of clustering using solution concepts from cooperative game theory such as Nucleolus and Shapley value. We formulate the problem of clustering as a characteristic form game and develop a novel algorithm DRAC (Density-Restricted Agglomerative Clustering) for clustering. With extensive experimentation on standard data sets, we compare the performan...

A dataset has been classified by some unknown classifier into two types of points. What were the most important factors in determining the classification outcome? In this work, we employ an axiomatic approach in order to uniquely characterize an influence measure: a function that, given a set of classified points, outputs a value for each feature corresponding to its influence in determining th...

We consider in this paper a class of risk-sensitive stochastic nonzero-sum differential games with parameterized nonlinear dynamics and parameterized cost functions. The parametrization is such that if all or some of the parameters are set equal to some nominal values, then the differential game either becomes equivalent to a risk-sensitive stochastic control (RSSC) problem, or decouples into s...

Usually, common pool games are analyzed without taking into account the cooperative features of the game, even when communication and non-binding agreements are involved. Whereas equilibria are inefficient, negotiations may induce some cooperation and may enhance efficiency. In the paper, we propose to use tools of cooperative game theory to advance the understanding of results in dilemma situa...