A finite-horizon two-person non-zero-sum differential game is considered. The dynamics of the linear. Each players has a quadratic functional on its own disposal, which should be minimized. case where weight matrices in control costs one player are singular both functionals studied. Hence, under consideration singular. novel definition Nash equilibrium this (a sequence) proposed. solved by appl...

entrepreneurship has been known as a method of identifying new opportunities, allocating resources in the situation of uncertainty and creating an organization to manage resources. this paper describes religious learning approaches in which entrepreneurship is beneficial to society and individuals through its economic advantages. the benefits are gained through innovation, productivity and new ...

and Applied Analysis 3 Fix an open solvency set S ⊂ R. Let τS = inf {t > 0; Y (t) ∉ S} (10) be the bankruptcy time. τS is the first time at which the stochastic process Y(t) exits the solvency set S. Similar optimal control problems in which the terminal time is governed by a stopping criterion are considered in [19–21] in the deterministic case. Let f i : Rk × K → R and g i : Rk → R be given f...

this paper shows how game theory can be applied to modeling the interaction between government and manufacturer in implementation of cleaner production. a generic game model based upon ‘two-person non-cooperative’ static game is created to allow various strategic actions being tested by stages, and aid decision making by selecting optimal strategy for both manufacturer and policy maker to reduc...

We introduce strategy logic, a logic that treats strategies in two-player games as explicit firstorder objects. The explicit treatment of strategies allows us to specify properties of nonzero-sum games in a simple and natural way. We show that the one-alternation fragment of strategy logic is strong enough to express the existence of Nash equilibria and secure equilibria, and subsumes other log...

This article discusses a two-player noncooperative nonzero-sum inspection game. There are multiple sites that are subject to potential inspection by the first player (an inspector). The second player (potentially a violator) has to choose a vector of violation probabilities over the sites, so that the sum of these probabilities do not exceed one. An efficient method is introduced to compute all...

Lattice games are real-valued functions de...ned on a ...nite lattice L. The basic players are the nonzero join-irreducible elements of the lattice and the coalitions are its elements. If L is the Boolean algebra 2 then we obtain a n-person game. Gilboa and Lehrer introduced the global games, which are lattice games where L = ¦n, the lattice of all partitions of N ordered by re...nement. Faigle...

We examine a solution concept, called the “value,” for n-person strategic games. In applications, the value provides an a-priori assessment of the monetary worth of a player’s position in a strategic game, comprising not only the player’s contribution to the total payoff but also the player’s ability to inflict losses on other players. A salient feature is that the value takes account of the co...