We study the impact of uncertainty on the strategies and dynamics of symmetric non-cooperative games among players who exploit a non-excludable resource that reproduces under uncertainty. We focus on a particular class of games that deliver a Nash equilibrium in linear-symmetric strategies of...

Random matching models with different states are an important class of dynamic games; for example, money search models, job search models, and some games in biology are special cases. In this paper, we investigate the basic structure of the models: the existence of equilibria, the global...

We analyze optimal advertising spending in a duopolistic market where each firm's market share depends on its own and its competitor''s advertising decisions, and is also subject to stochastic disturbances. We develop a differential game model of advertising in which the dynamic behavior is...

We provide a review of the types of equilibria typically found in operations management inventory papers and a discussion on when the commonly used stationary infinite-horizon (open-loop) equilibrium may be sufficient for study. We focus particularly on order-up-to and basestock equilibria in...

We solve a sequential-moves game that involves three players: the franchisor, the entrepreneur, and the banks. The franchisor chooses values of contract terms (a one-time franchise fee and a royalty rate for on-going payments). The entrepreneur dynamically decides when to sign this contract and...

We present a sufficient condition for a feedback Stackelberg equilibrium of a stochastic differential game on an infinite horizon. This condition gives rise to a system of elliptic partial differential equations involving a static Stackelberg game at the level of Lagrangian. As an example, we...

We consider a two-stage serial supply chain with capacity limits, where each installation is operated by managers attempting to minimize their own costs. A multiple-period model is necessitated by the multiple stages, capacity limits, stochastic demand, and the explicit consideration of...

An oligopoly model is presented that allows the determination of feedback Nash equilibrium advertising strategies for an oligopoly. Analyses of symmetric and asymmetric oligopolies with the model show that unit contribution and advertising effectiveness have positive effects on a competitor's...

Probabilistic equilibrium selection is defined by equipping a set of theoretical solutions with an additive weighting function. In the context of dynamic processes, a weighting function can be constructed by assigning to each theoretical solution a weight equal to the relative size of its basin...

This paper derives the dynamic implications for price setting in an Edgeworth oligoppoly game with N2 competitors. The impetus to the dynamic game are "conjectured" variations in the prices set by competing firms whereby each firm expresses its belief that a decrease in its own price will be met...