Game Theory

Stable Sets of Weak Tournaments

  • Somdeb Lahiri
    • Categories Applications - OR and Management Sciences, Game Theory, Multi-Criteria Optimization Tags ,

    The purpose of this paper is to obtain conditions on weak tournaments, which guarantee that every non-empty subset of alternatives admits a stable set. We show that every stable set always contains the core. We also show that there exists a unique stable set for each non-empty subset of alternatives which coincides with its core … Read more

    Cooperative games on antimatroids

  • E. Algaba
  • A. Jimenez-Losada
  • R. van den Brink
  • J. M. Bilbao
    • Categories Game Theory Tags , ,

    The aim of this paper is to introduce cooperative games with a feasible coalition system which is an antimatroid. These combinatorial structures generalize the permission structures, which have nice economical applications. With this goal, we first characterize the approaches from a permission structure with special classes of antimatroids. Next, we use the concept of interior … Read more