Bandwidth Allocation and Pricing Problem for a Duopoly Market
The paper deals with models of household economy with infinitely many agents classified into a finite number of types. The notions of competitive equilibrium, core and quasi-core are examined with special emphasis on their mutual relations.
In the Shapley-Scarf economy each agent is endowed with one unit of an indivisible good (house) and wants to exchange it for another, possibly the most preferred one among the houses in the market. In this economy, core is always nonempty and a core allocation can be found by the famous Top Trading Cycles algorithm. Recently, a modification of this economy, containing Q >= 2 types of goods (say, houses and cars for Q=2) has been introduced. We show that if the number of agents is 2, a complete...