The division of a cake by two players is modelled by means of a game of timing in which the players have a probability of learning when their opponent acts. It is shown that the game has a unique Nash equilibrium when both players are non-noisy but that there are many Nash equilibria including...

We analyse a non-zero sum two-person game introduced by Teraoka and Yamada to model the strategic aspects of production development in manufacturing. In particular we investigate how sensitive their solution concept (Nash equilibrium) is to small variations in their assumptions. It is proved...

The division of a cake by two players is modelled by means of a game of timing in which the players have a probability of learning when their opponent acts. It is shown that the game has a unique Nash equilibrium when both players are non-noisy but that there are many Nash equilibria including...

We analyse a non-zero sum two-person game introduced by Teraoka and Yamada to model the strategic aspects of production development in manufacturing. In particular we investigate how sensitive their solution concept (Nash equilibrium) is to small variations in their assumptions. It is proved...

An infiltrator tries to go through a graph of n arcs, within a time limit, without being caught by a guard. The latter is allowed a restricted number of tentatives to catch the infiltrator. This paper describes optimal strategies and gives the value of this discrete zero-sum infiltration game.

An infiltrator tries to go through a graph of n arcs, within a time limit, without being caught by a guard. The latter is allowed a restricted number of tentatives to catch the infiltrator. This paper describes optimal strategies and gives the value of this discrete zero-sum infiltration game

This book is on applications of game theory. It contains a lot of examples of applications of game theory together with the background of those games considered and a list of unsolved problems. Also we consider only the game where the optimal strategies of the players are found in closed form....

Stackelberg models for hierarchical oligopolistic markets with a homogenous product were studied by researchers extensively. The goal of this paper is to extend the classical solution in closed form of the Stackelberg model for a general hierarchical structures composed by firms arranged into...