Variation of"The effect of caching on a model of content and access provider revenues in information-centric networks"

This is a variation of the two-sided market model of [10]: Demand D is concave in D̃ in (16) of [10]. So, in (5) of [10] and after Theorem 2, take the parametric case 0 < a ≤ 1. Thus, demand D is both decreasing and concave in price p, and so the utilities (U = pD) are also concave in price. Also, herein a simpler illustrative demandresponse model is used in Appendix A and B.