Large-scale projects often have several activities which are performed by subcontractors with limited multi-resources. Project scheduling with limited resources is one of the most famous problems in the research operations and optimization cases. The resource-constraint project scheduling problem (RCPSP) is a NP-hard problem in which the activities of a project must be scheduled to reduce the p...

Game Theory pioneers J. von Neumann and O. Morgenstern gave most of their attention to the cooperative side of the subject. But cooperative game theory has had relatively little effect on economics. In this essay, I suggest why that might be and what is needed for cooperative theory to become more relevant to economics. Cooperative game theory is the part of game theory that pertains when playe...

In this research, firms aim at maximizing two purposes of social welfare (environment) and profitability in the supply chain system. It is assumed that there are two supply chains, a green and an ordinary, each consists of a manufacturer and a supplier; in which the manufacturer generates profit through franchises. The green and the ordinary manufacturers form a cartel on the market of a certai...

This paper investigates equilibrium strategies for both horizontal (HJP) and vertical (VJP) joint promotions (cooperative advertising) in the supply chain. A game theoretic model is solved for two setups: a centralized channel competing with a decentralized one (DC), and two competing decentralized channels (DD). Retailers decide of HJP and regular promotional efforts, as well as of prices. Man...

Abstract: To understand the dynamics of the manufacturer’s effort to reduce pollution in a supply chain consisting of manufacturer, retailer, and consumers, we analyze four cases according to consumer awareness of the pollution’s harmful effect, i.e., environmentally aware versus ignorant, and supply chain coordination, i.e., competitive versus cooperative. Applying differential games, we deriv...

In the article m dimensional lexicographic noncooperative games   ) ,..., ( 1 m   are defined for the players’ } ,..., 2 , 1 { n N  for which there exists a characteristic function T m v v v v ) ,..., , ( 2 1  . Some main features are proved of v function in a lexicographic case. A lexicographic cooperative game is called a couple   v N , , where v is a real vectorfunction on N subsets ...

This paper develops a game theoretic model of a one-manufacturer and one-retailer supply chain allowing the second ordering to investigate how to coordinate the order quantity and advertising investment via a markdown money-cooperative advertising contract. We focus on the effects of allowing the second ordering on equilibrium outcome and coordination mechanism. We find: the relationship betwee...

We propose a bargaining process supergame over the strategies to play in a non-cooperative game. The agreement reached by players at the end of the bargaining process is the strategy profile that they will play in the original non-cooperative game. We analyze the subgame perfect equilibria of this supergame, and its implications on the original game. We discuss existence, uniqueness, and effici...

We consider a non-cooperative coalitional bargaining game with random proposers to bridge a gap between non-cooperative game theory and cooperative game theory. Theoretical results include the existence of a stationary subgame perfect equilibrium (SSPE) and the characterization of the grand-coalition SSPE as a generalized Nash bargaining solution, provided that it lies in the core. We also prov...