Relative Performance Versus Market Share Delegation in a Vertically Related Market

This article, considering relative performance vs. market share delegation in a vertically related market, shows how the order of firms’ move and the type of delegation contract would affect the input-pricing decision of the upstream monopolist and examines which delegation contract is a dominant strategy for downstream firms. The major finding is that having considered input-price commitment and delegation decision together, input price–delegation–quantity competition order coupled with relative performance delegation is the dominant strategy for downstream rivals in a vertically related market. JEL: D21, D43, L13, L21

Market Share Delegation in a Bertrand Duopoly: Synchronisation and Multistability

This paper tackles the issue of local and global analyses of a duopoly game with price competition and market share delegation. The dynamics of the economy is characterised by a differentiable two-dimensional discrete time system. The paper stresses the importance of complementarity between products as a source of synchronisation in the long term, in contrast to the case of their substitutability. This means that when products are complements, players may coordinate their behaviour even if initial conditions are different. In addition, there exist multiple attractors so that even starting with similar conditions may end up generating very different dynamic patterns.