A quantum Cournot game whose classical form game has multiple Nash equilibria is examined. Although the classical equilibria fail to be Pareto optimal, the quantum equilibrium exhibits the following two properties: (i) if the measurement of entanglement between strategic variables chosen by the competing firms is sufficiently large, the multiplicity of equilibria vanishes, and (ii) the more str...

We characterize the structure of Nash equilibria for a certain class of asset market games. In equilibrium, different assets have different returns, and (risk neutral) investors with different wealth hold portfolios with different structures. In equilibrium, an asset’s return is inversely related to the elasticity of its supply. The larger an investor, the more diversified is his portfolio. Sma...

This paper investigates the efficiency loss of selfish routing simultaneously with user equilibrium (UE) player and Cournot-Nash (CN) players. The upper bound of the efficiency loss of UE-CN mixed equilibrium with polynomial cost functions is obtained by the scaling method and the nonlinear programming method, respectively. It is shown that the upper bound of efficiency loss obtained by the sca...

We propose a new concept for how to make choices in games without assuming an equilibrium. To beat the average means to obtain a higher payoff against the others than the others obtain amongst themselves, for any way in which the game might be played. Only Nash equilibrium strategies can beat the average. Beating the average is possible in many symmetric games, including Cournot competition wit...

I study the incentives of Cournot duopolists to share their technologies with their competitor in markets where intellectual property rights are absent and imitation is costless. The trade-off between a signaling effect and an expropriation effect determines the technology-sharing incentives. In equilibrium at most one firm shares some of its technologies. For similar technology distributions, ...

In this paper, we extend the non-cooperative analysis of oligopoly to exchange economies with infinitely many commodities by using strategic market games. This setting can be interpreted as a model of oligopoly with differentiated commodities by using the Hotelling line. We prove the existence of an “active” Cournot-Nash equilibrium and show that, when traders are replicated, the price vector a...

Biconcavity is a simple condition on inverse demand that corresponds to the ordinary concept of concavity after simultaneous parameterized transformations of price and quantity. The notion is employed here in the framework of the homogeneous-good Cournot model with potentially heterogeneous firms. The analysis leads to unified conditions, respectively, for the existence of a pure-strategy equil...

In wireless communications, power allocation plays a paramount role in sustainable network lifetime prolongation with quality-of-service and network interference reduction. This paper investigates a distributed power allocation problem in wireless parallel amplify-and-forward (AF) relay transmissions. Particularly, the objective is set to minimize the total transmit power while guaranteeing the...

We present a proportional reaction strategy in a repeated Cournot duopoly game with discounting. The strategy is based on increasing the total output quantity in proportion to deviations from a cartel point. Such a strategy was originally proposed by Osborne (1976) for a static oligopoly. We show that the resulting equilibrium is subgame perfect and weakly renegotiation proof when the possible ...

In a class of games including some Cournot and Bertrand games, a sequence of plays converges to the unique Nash equilibrium if and only if the sequence is “consistent with adaptive learning” according to the new definition we propose. In the Arrow-Debreu model with gross substitutes, a sequence of prices converges to the competitive equilibrium if and only if the sequence is consistent with ada...