We investigate firms' competitive behaviors in industries where customers are sensitive to both promised delivery time (PDT) and quality of service (QoS) measured by the on-time delivery rate. To study the competition in PDT at the marketing level, we construct an oligopoly game with an external...

Using the Lanchester model to describe the dynamics of the market where two firms compete for customers by advertising, we solve the problem of determining an optimal advertising strategy for maximum discounted profits. We develop both open- and closed-loop strategies and explain the...

Any buyer that depends on suppliers for the delivery of a service or the production of a make-to-order component should pay close attention to the suppliers' service or delivery lead times. This paper studies a queueing model in which two strategic servers choose their capacities/processing...

In this note we analyse the provision of a pure public good with non constant production cost in the context of a federation of jurisdictions with two tiers of Government: the central and the local. The central government aims at welfare maximization but this objective is constrained to the use...

We apply linear and non-linear programming to find the solutions for Nash equilibriums and Nash arbitration in game theory problems. Linear programming was shown as a viable method for solving mixed strategy zero-sum games. We review this methodology and suggest a class of zero-sum game theory...

The article explains the origins of the gender pay gap as a Nash equilibrium of a game with incomplete information about women's work at home and in the marketplace based on the earlier results of Chichilnisky (2005, 2008a, 2008b). Expectations about women's lower market wages leads to the over...

This paper, analyzes the allocation problem of customers in a discrete-time multi-server queueing system and considers two criteria for routing customers' selections: equilibrium and social optimization. As far as we know, there is no literature concerning the discrete-time multi-server models...

In an exchange economy under uncertainty with two periods, one physical good, and finitely many states of the world, we show that for every (complete or incomplete) market span there exists a sequence of securities such that if they are introduced into markets one by one, the prices of any...

The theory of learning in games explores how, which, and what kind of equilibria might arise as a consequence of a long-run nonequilibrium process of learning, adaptation, and/or imitation. If agents’ strategies are completely observed at the end of each round (and agents are randomly matched...

This book serves as an introduction to game theory for students with no prior game theory knowledge, or with limited background in economics and mathematics. It is specifically designed to provide an intuitive and accessible interdisciplinary approach to game theory, while simultaneously...