Contract and Game Theory: Basic Concepts for Settings with Finite Horizons

Contract and Game Theory: Basic Concepts for Settings with Finite Horizons

This paper examines a general model of contract in multi-period settings with both external and self-enforcement. In the model, players alternately engage in contract negotiation and take individual actions. A notion of contractual equilibrium, which combines a bargaining solution and individual incentive constraints, is proposed and analyzed. The modeling framework helps identify the relation ...

Social Network Analysis and Game Theory: Basic Concepts and Assumptions

I use social network analysis and game theory in the models developed in this book. It is useful to discuss the basic concepts associated with these two “tools” before I begin. Readers familiar with social network analysis should check the formal definitions of a social network and the related network parameters in Section 2.1, because these definitions are somewhat different than those used in...

Group Theory: Basic Concepts

⋆ Group: (G, γ) where G is a set and γ a binary operation γ : G×G → G. If γ is clear from the context the group is simply denoted by G. ◦ In place of γ(f, g) write fγg or simply fg when there is no ambiguity, as in most of what follows. ◦ Example: G = Z = {. . .− 2,−1, 0, 1, 2 . . .}, γ = +, γ(f, g) = f + g. • For G to be a group three conditions must be satisfied: (i) γ is associative: γ(f, γ(...

Modeling and Numerical Analysis of Revenue Sharing Contract Based on the Stackelberge Game Theory

Considered supply chain in this article consists of one vendor and multiple retailers where the vendor applies vendor managed inventory. Considering vendor as a leader and retailers as followers, Stackelberg game theory is applied for modeling and analyzing this system. A general mixed integer nonlinear model is developed which can optimizes the performance of the system under revenue sharing c...

Basic UV-Vis Theory, Concepts and Applications