We investigate various properties of the sublevel set G = {x : g(x) ≤ 1} and the integration of h on this sublevel set when g and h are positively homogeneous functions (and in particular homogeneous polynomials). For instance, the latter integral reduces to integrating h exp(-g) on the whole...

We present an application of lattice theory to the framework of influence in social networks. The contribution of the paper is not to derive new results, but to synthesize our existing results on lattices and influence. We consider a two-action model of influence in a social network in which...

This paper establishes a simple asymptotic formula for the finite time ruin probability of a compound renewal risk model with constant interest force. We assume that the claim sizes are Weakly Negatively Dependent (WND) and identically distributed random variables belonging to the class of...

Two-person finite semi-Markov games (SMGs) are studied when the transition probabilities and the transition times are controlled by one player at all states. For the discounted games in this class, we prove that the ordered field property holds and there exist optimal/Nash equilibrium stationary...

No abstract received.

Inductive game theory has been developed to explore the origin of beliefs of a person from his accumulated experiences of a game situation. It has been restricted to a person's view of the structure not including another person's thoughts. In this paper, we explore the experiential origin of...

This paper looks at society divided into two groups where personal assets as well as group specific values influences the individuals' utility (positively for own group's value and possibly otherwise for the other group's value). Individual resource allocation problem may lead to under...

The concert queueing problem corresponds to determining the equilibrium arrival profile of non-cooperative customers selecting their arrival times to a queue where the service opens at a specified time. The customers are allowed to arrive before or after this time. This problem has a variety of...

This paper introduces a methodology based on fuzzy game theory to determine the buyer's priority of the attributes and select a product in the e-business system. The game theory model developed in our paper considers the prioritization of attributes as strategies for the player (player 1) in one...

This study seeks to analyze the impact of governmental regulations on the pollution level in a duopoly framework with endogenous market structure. We consider a dirty industry which involves two asymmetric firms, an MNC and a domestic firm, producing a homogenous product, where the MNC is so...