THEORY OF COOPERATIVE AND NON-COOPERATIVE GAMES IN PRACTICE OF ENVIRONMENTAL OR SUSTAINABLE PROCESS MODELING

Non-Cooperative and Semi-Cooperative Differential Games

In this paper we review some recent results on non-cooperative and semicooperative differential games. For the n-person non-cooperative games in one-space dimension, we consider the Nash equilibrium solutions. When the system of Hamilton-Jacobi equations for the value functions is strictly hyperbolic, we show that the weak solution of a corresponding system of hyperbolic conservation laws deter...

Non-cooperative Games

Non-cooperative games are mathematical models of interactive strategic decision situations. In contrast to cooperative models, they build on the assumption that all possibilities for commitment and contract have been incorporated in the rules of the game. This contribution describes the main models (games in normal form, and games in extensive form), as well as the main concepts that have been ...

Non-Cooperative Bundling Games

Bundling is a basic problem in commerce. We define and study the Bundling Game: each of n players with a unique product to sell can choose to sell their products in bundles with other players’ products so as to maximize their payoff; the players all have knowledge of the valuations of m (potential) buyers for each of the products. We define two natural classes of payoff functions Fair Profit Sh...

Improved Profitability and Competition in Two Level Supply Chain by Non-Cooperative Games

This article by modeling a non-cooperative dynamic game tries to improve profitability and competition. This paper has considered how the manufacturer interacts with multiple competitor distributors. Each distributor also determines the optimal distribution price and inventory replenishment policies to maximize their profits. The issue form a non-cooperative dynamic game. Distributors formulate...

Foundations of Non-cooperative Games