Robust Dynamic Pricing Over Infinite Horizon in The Presence of Model Uncertainty( 2* Journal)

This paper studies a problem of dynamic pricing faced by a retailer with limited inventory, uncertain about the demand rate model, aiming to maximize expected discounted revenue over an infinite time horizon. The retailer doubts his demand model which is generated by historical data and views it as an approximation. Uncertainty in the demand rate model is represented by a notion of generalized relative entropy process, and the robust pricing problem is formulated as a two-player zero-sum stochastic differential game. The pricing policy is obtained through the Hamilton-Jacobi-Isaacs (HJI) equation. The existence and uniqueness of the solution of the HJI equation is shown and a verification theorem is proved to show that the solution of the HJI equation is indeed the value function of the pricing problem. The results are illustrated by an example with exponential nominal demand rate.

Self-Care, the Body and Identity: The Non-Abelist Consumer Perspective

Consumers confined to the home due to disability or long term illness are the subjects of this study. Home confined consumers are not subject to the public gaze but are nevertheless just as conscious of idealised conceptions of what constitutes a normalised body and strive to attain this by means of highly disciplined body self-care practices. This paper examines their consumption experiences and finds that they strive to create a disciplined approach to inner and outer body maintenance. They do so in order to maintain and develop self-identity, and even the survival of the self in their self-created marketplaces.