A Dynamic Contest Model of Platform Competition in Two-Sided Markets

This paper examines the dynamic competition between platform firms in two-sided markets with network externalities. In our model, two platforms compete with each other via a contest to dominate a certain market. If one platform wins the contest, it can serve the market for a certain duration as a monopolistic platform. Our paper shows that platform firms can compensate for cost disadvantages with network effects. A head start (e.g., technological advantage) does not guarantee future success for platform firms. Network effects and cost efficiency are decisive for future success. Interestingly, higher costs of a platform can induce higher platform profits in our dynamic model. Moreover, we find that a platform’s size and profit are not necessarily positively correlated. Our model also provides new insights with respect to the underlying causes for the emergence of market dominance. The combination of technological carry-over and network effects can explain a long-lasting dominance of a platform that benefits from a head start. The necessary preconditions for this emergence are convex costs, small network effects and high carry-over.

Passive Cross-Holding in a Stackelberg Oligopoly

We show that bilateral cross-holding can be profitable for firms with symmetric technologies in a Stackelberg oligopoly. Furthermore, if firms involved in cross-holding obtain a strategic advantage to be the leaders (i.e. Stackelberg leadership through cross-holding), such cross-holding will improve both consumer surplus and social welfare. We also discuss robustness of our main results with respect to convex costs and product differentiation.

A Comparative Study of Pricing Mechanisms to Reduce Side-Payments in the Electricity Market: A Case Study for South Korea

Under marginal-cost pricing, some generators cannot recover their production costs at the market price due to non-convexities in the electricity market. For this reason, most electricity markets pay side-payments to generators whose costs are not sufficiently recovered, but side-payments present the problem of deteriorating transparency in the market. Recently, convex hull pricing and extended locational marginal pricing have been reviewed or gradually introduced to reduce side-payments. Another method is to include non-convex costs in the market price, which is applied in the Korean electricity market. Although it is not generally considered in the electricity market, the Vickrey auction method is also one of the pricing mechanisms that can reduce side-payments. The main purpose of this study is to analyze the financial impact of these alternative pricing mechanisms on market participants through rigorous simulation. We applied the alternative pricing schemes to the Korean electricity market, and the impacts are analyzed by comparing the cost aspect of an electricity sales company and the profit aspect of generation companies. As a result of the simulation study, each pricing mechanism not only differed in the degree to which side-payments are reduced but also has different effects on the type of generators.

Asymptotic efficiency of the proportional compensation scheme for a large number of producers

We consider a manager who allocates some fixed total payment amount between N rational agents in order to maximize the aggregate production. The profit of i-th agent is the difference between the compensation (reward) obtained from the manager and the production cost. We compare (i) the normative compensation scheme where the manager enforces the agents to follow an optimal cooperative strategy; (ii) the linear piece rates compensation scheme where the manager announces an optimal reward per unit good; (iii) the proportional compensation scheme where agent's reward is proportional to his contribution to the total output. Denoting the correspondent total production levels by s*, ? and s? respectively, where the last one is related to the unique Nash equilibrium, we examine the limits of the prices of anarchy AN = s*/s?, A'N = ?/s? as N ? ?. These limits are calculated for the cases of identical convex costs with power asymptotics at the origin, and for power costs, corresponding to the Coob-Douglas and generalized CES production functions with decreasing returns to scale. Our results show that asymptotically no performance is lost in terms of A'N , and in terms of AN the loss does not exceed 31%.