Pricing and revenue sharing in secondary market of mobile internet access (original) (raw)
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ABSTRACT I study a budget-constrained, private-valuation, sealed-bid sequential auction with two incompletely-informed, risk-neutral bidders in which the valuations and income may be non-monotonic functions of a bidder's type. Multiple equilibrium symmetric bidding functions may exist that differ in allocation, efficiency and revenue. The sequence of sale affects the competition for a good and therefore also affects revenue and the prices of each good in a systematic way that depends on the relationship among the valuations and incomes of bidders. The sequence of sale may affect prices and revenue even when the number of bidders is large relative to the number of goods. If a particular good, say [alpha], is allocated to a strong bidder independent of the sequence of sale, then auction revenue and the price of good [alpha] are higher when good [alpha] is sold first.
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The basic concepts of three branches of game theory, leader-follower, cooperative, and two-person nonzero sum games, are reviewed and applied to the study of the Internet pricing issue. In particular, we emphasize that the cooperative game (also called the bargaining problem) provides an overall picture for the issue. With a simple model for Internet quality of service (QoS), we demonstrate that the leader-follower game may lead to a solution that is not Pareto optimal and in some cases may be "unfair," and that the cooperative game may provide a better solution for both the Internet service provider (ISP) and the user. The practical implication of the results is that government regulation or arbitration may be helpful. The QoS model is also applied to study the competition between two ISPs, and we find a Nash equilibrium point from which the two ISPs would not move out without cooperation. The proposed approaches can be applied to other Internet pricing problems such as the Paris Metro pricing scheme.
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We consider a scenario where a population of customers is spatially distributed in a region which is served by two wireless service providers that offer Internet Access via two noninterfering technologies: one having a uniform coverage over the region (e.g. WAN), and the other, a limited coverage (e.g. WiFi "hotspots"). We assume that customers are equipped with "dual mode" wireless communication devices that have the capability to select which among the available providers to use. We introduce a stochastic geometric model for the locations of customers and providers' access points and a utility-based mechanism modeling how devices select among providers. In particular, we assume that each device makes greedy decisions at random times, i.e., selects the available provider offering the highest utility at that time. We demonstrate that this process may have multiple equilibria, and prove that the system will almost surely evolve to one of the equilibrium configurations, starting from any initial configuration for users' choices. We also provide conditions under which the set of equilibria is relatively "tight"-in this case the equilibrium configuration of agents' choices is "maxmin fair" and thus is desirable if providers wish to cooperate in providing users with worst case performance guarantees. As an application of our framework we analyze the WAN and WiFi competition in an asymptotic scenario where the service zones of WAN provider are much larger than those of WiFi access providers.
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Within the current Internet, autonomous ISPs implement bilateral agreements, with each ISP establishing agreements that suit its own local objective to maximize its profit. Peering agreements based on local views and bilateral settlements, while expedient, encourage selfish routing strategies and discriminatory interconnections. From a more global perspective, such settlements reduce aggregate profits, limit the stability of routes, and discourage potentially useful peering/connectivity arrangements, thereby unnecessarily balkanizing the Internet. We show that if the distribution of profits is enforced at a global level, then there exist profit-sharing mechanisms derived from the coalition games concept of Shapley value and its extensions that will encourage these selfish ISPs who seek to maximize their own profits to converge to a Nash equilibrium. We show that these profit-sharing schemes exhibit several fairness properties that support the argument that this distribution of profits is desirable. In addition, at the Nash equilibrium point, the routing and connecting/peering strategies maximize aggregate network profits and encourage ISP connectivity so as to limit balkanization.
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