While ordinal complementarity is more general than cardinal complementarity, the corresponding global sufficient conditions placed on the primitives of a constrained optimization problem are generally not comparable. We explore this issue in detail for the special case of a Cournot firm. We...

This chapter considers a recent trend in the application of stochastic games to economics characterized by the use of the lattice-theoretic approach to capture the monotonic properties of Markovian equilibria. The topics covered are: (i) a general framework for discounted stochastic games with...

This survey provides an extensive account of research in economics based on the stochastic games paradigm. Its area-by-area coverage is in the form of an overview, and includes applications in resource economics, industrial organization, macroeconomics, market games, experimental and empirical...

We consider the issue of first versus second-mover advantage in differentiated-product Bertrand duopoly with general demand and asymmetric linear costs. We generalize existing results for all possible combinations where prices are either strategic substitutes and/or complements, dispensing with...

Amir and Lambson (2003) developed an infinite-horizon, stochastic model of entry and exit by integer numbers of firms facing sunk costs and uncertain market conditions. Here, as examples of the model' usefulness, special cases are applied to the following three s issues: (1) the relationship...

For Bertrand duopoly with linear costs, we establish via a single counterexample that: (i) A new monotone transformation of the firms' profit functions may lead to the supermodularity of transformed profits when the standard log and identity transformations both fail, and (ii) Topkis's notion of...

We provide an extensive and general investigation of the effecst on industry performance - profits, social welfare and price-cost margins - of exogenously changing the number of firms in Cournot markets. This includes an in-depth exploration of the well-known trade-off between competition and...

In the framework of symmetric Cournot oligopoly, this paper provides two minimal sets of assumptions on the demand and cost functions that imply respectively that, as the number of firms increases, the minimal and maximal equilibria lead to (i) decreasing industry price and increasing or...

This paper first introduces an approach relying on market games to examine how successive oligopolies do operate between downstream and upstream markets. This approach is then compared with the traditional analysis of oligopolistic interaction in successive markets. The market outcomes resulting...

In this paper, we investigate dynamic price competition when firms strategically interact in two distinct but interrelated markets: a primary market and an aftermarket, where indirect network effects arise. We set up a differential game of two-dimensional price competition and we conclude that...