5 papers
A Note on Market Segmentation and Bertrand Competition
Zhang Xu, Mingsheng Zhang, Wei Zhao
In this note, we show that equilibrium profit is zero in Bertrand competition with a finite number of firms and consumers whose willingness to pay are bounded, under any market seg…
Artificial Intelligence, Data and Competition
Zhang Xu, Mingsheng Zhang, Wei Zhao
This paper examines how data inputs shape competition among artificial intelligences (AIs) in pricing games. The dataset assigns labels to consumers and divides them into different…
Privacy-Constrained Signals
Zhang Xu, Wei Zhao
This paper provides a unified approach to characterize the set of all feasible signals subject to privacy constraints. The Blackwell frontier of feasible signals can be decomposed…
Privacy Structure and Blackwell Frontier
Zhang Xu, Wei Zhao
This paper characterizes the set of feasible posterior distributions subject to graph-based inferential privacy constraint, including both differential and inferential privacy. Thi…
Memoryless Algorithmic Collusion: Sure to Fail, Slow to Fall
Zhang Xu, Wei Zhao
This paper shows that, in a class of Bertrand-style competition games, memoryless Q-learning algorithms should adapt to Nash Equilibrium given sufficient explorations in the long-r…