Meier [Games Econ. Behav. 62, 53–66] shows that the universal knowledge–belief space exists. However, besides the universality there is an other important property might be imposed on knowledge–belief spaces, inherited also from type spaces, the completeness. In this paper, we introduce...

A noncooperative game is said to be nonmonetized if the ranges of the utilities (payoffs) of the players are preordered sets. In this paper, we examine some nonmonetized noncooperative games in which both of the collection of strategies and the ranges of the utilities for the players are...

Mathematical foundations of conflict resolutions are deeply rooted in the theory of cooperative and non-cooperative games. While many elementary models of conflicts are formalized, one often raises the question whether game theory and its mathematically developed tools are applicable to actual...

This paper develops alternative models explaining why households with credit need to finance their projects (enterprises) avoid formal credit. More importantly it argues that the problem of avoidance of formal credit and ensuring credit access is not necessarily restricted to the small borrower...

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...