Firms' quality commitment can efficiently improve the demand. This paper addresses the quality commitment under the duopoly. By establishing a Cournot model, the effects of quality commitment are discussed. Firstly, under one-sided quality commitment, the higher efficiency firm committing in...

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...

This paper introduces the notion of mixed leadership in non-zero-sum differential games, where there is no fixed hierarchy in decision making with respect to the players. Whether a particular player is leader or follower depends on the instrument variable s/he is controlling, and it is possible...

The open source paradigm is often defined as a collaborative effort, implying that firms and consumers come together in a non-competitive climate. We show here that open source development can arise from a competitive climate. Under competition, we find that open source is the surplus maximizing...

In this paper we consider the linear quadratic differential game for descriptor systems that have index one. We derive both necessary and sufficient conditions for existence of an open-loop Nash equilibrium

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...

This paper proposes a Network Game model where one agent controls multiple nodes, and studies how equilibrium changes when a game is transformed from a one-agent-controls-one-node setting to a one-agent-controls-multiple-nodes setting. The model discusses how equilibrium might continue to exist...

This paper considers the non-zero-sum stochastic differential game problem between two ambiguity-averse insurers (AAIs) who encounter model uncertainty and seek the optimal investment and reinsurance decision under relative performance concerns. Each AAI invests in a risky asset and a risk-free...