Any function from a non-empty polytope into itself that is locally gross direction preserving is shown to have the fixed point property. Brouwer's fixed point theorem for continuous functions is a special case. We discuss the application of the result in the area of non-cooperative game theory.

We-thinking theories allow groups to deliberate as agents. They have been introduced into the economic domain for both theoretical and empirical reasons. Among the few scholars who have proposed formal approaches to illustrate how we-thinking arises, Bacharach offers one of the most developed...

This paper discusses and extends some competitive aspects of the games proposed in an earlier work, where a robust railway network design problem was proposed as a non-cooperative zero-sum game in normal form between a designer/operator and an attacker. Due to the importance of the order of play...