This article augments d’Aspremont and Jacquemin’s [1988. “Cooperative Noncooperative R&D in Duopoly with Spillovers.” American Economic Review 78: 1133–1137; 1990. Spillovers: Erratum.” 80: 641–642] cost-reducing duopoly by introducing network externalities product compatibility then considers the investment decision stage. For standard non-network industries, received literature has robustly s...

We consider a linear price setting duopoly game with differentiated products and determine endogenously which of the players will lead and which one will follow. While the follower role is most attractive for each firm, we show that waiting is more risky for the low cost firm so that, consequently, risk dominance considerations, as in Harsanyi and Selten (A General Theory of Equilibrium Selecti...

We characterize the class of symmetric two-player games in which tit-for-tat cannot be beaten even by very sophisticated opponents in a repeated game. It turns out to be the class of exact potential games. More generally, there is a class of simple imitation rules that includes tit-for-tat but also imitate-the-best and imitate-if-better. Every decision rule in this class is essentially unbeatab...

We study Bertrand’s duopoly of incomplete information. It is found that the effect of quantum entanglement on the outcome of the game is dramatically changed by the uncertainty of information. In contrast with the case of complete information where the outcome increases with entanglement, when information is incomplete the outcome is maximized at some finite entanglement. As a consequence, info...

This paper examines the conditions under which a firm would choose a flexible production technology or a dedicated technology in a duopoly environment. We model this technology choice by having two firms simultaneously select from two production technologies in the first stage and subsequently take in a Cournot production quantity subgame. Conditions under which technology equilibriums exist ar...

We revisit the two-stage duopoly game with strategic delegation and asymmetric technologies of Sen and Stamatopoulos (2015). We show that their conclusions are misled by the restrictive assumption that the extent of delegation to managers is restricted to a binary set. Allowing for a continuous set of delegation incentives, we prove that the delegation stage is a prisoners’dilemma, the unique s...

We consider a class of symmetric two-person quadratic games where coarse correlated equilibria — CCE — (Moulin and Vial 1978) can strictly improve upon the Nash equilibrium payoffs, while correlated equilibrium — CE — (Aumann 1974, 1987) cannot, because these games are potential games. We compute the largest feasible total utility in any CCE in those games, and show that it is achieved by a CCE...

In this paper we analyze the dynamics of an R&D differential game allowing for technological spillovers and sigmoid learning functions of multiproduct oligopolies. We demonstrate how the presence of learning together with spillovers may generate a rich set of outcomes, varying from constant leadership to catching-up and falling behind as well as from technology lock-in to a situation with a lar...

Previous theoretical researches show that learning from good performers yields intense competition and results in the low profitability of firms. These researchers do not take into account differentiation strategies being referred as a useful strategic tool to mitigate competition. We introduce an evolutionary (learning) game into a duopoly model with product differentiation on the Hotelling li...