Kai Hao Yang

I am a postdoctoral associate at the Cowles Foundation, Yale University. I will join the economics group at Yale School of Management as an assistant professor in July 2021.

My field of interest is microeconomic theory, in particular, **mechanism design**, **information design** and **game theory**.

Research

Working Papers

**Selling Consumer Data for Profit: Optimal Market-Segmentation Design and its Consequences.****(Online Appendix)**

(Last Update: 04/21/2021; An earlier version and its supplemental material with additional results) *Abstract*

A data broker sells market segmentations to a producer with private cost who sells a product to a unit mass of consumers. This paper characterizes the revenue-maximizing mechanisms for the data broker. Every optimal mechanism induces **quasi-perfect price discrimination**---all the consumers with values above a cost-dependent cutoff buys by paying their values while the rest of consumers do not buy. The characterization of optimal mechanisms leads to several economic implications: (i) market outcomes remain unchanged even if the data broker becomes more active in the product market---either by gaining the ability to contract on prices or by becoming a retailer who purchases the product and obtains the exclusive right to sell to the consumers directly; (ii) vertical integration between the data broker and the producer increases total surplus while leaving consumer surplus unchanged and (iii) data brokership improves total surplus compared with uniform pricing.

(*R&R at JET*; Last Update: 04/18/2021; An earlier version and its supplemental material with additional results) *Abstract*

This paper characterizes the efficient market demands among those with a fixed surplus level in a multi-product monopoly where the monopolist is able to produce a continuum of quality-differentiated products with a cost function that is convex in quality. We show that any efficient market demand must be **affine-unit-elastic**. This further reduces the problem of characterizing the efficient frontier to a finite-dimensional constraint optimization problem. From this characterization, it follows that deadweight losses are positive even under efficient demands; that both consumer surplus and monopoly profit are nonmonotonic in cost function; and that the monopolist sells at most two distinct quality levels under any efficient market demand.* *

(Last Update: 03/23/2021) *Abstract*

The structure of a market describes the nature of competition between participating firms. This paper introduces a framework for designing market structures and characterizes the socially efficient ones. We define a market structure as the set of firms’ strategies and mappings from those strategies to market entry rules, an allocation of products to consumers, and firm revenues. We show that efficient market structures are equivalent to price competition with transfers and yardstick price caps that depend on the published prices of competing firms. As a result, efficient market structures can be implemented without prior knowledge of individual consumer preferences, firms' realized costs, or firm conduct.

(Last Update: 11/21/2019) *Abstract*

An intermediary has the technology to provide information about a product to consumers and serves as a platform through which transactions between a monopoly and consumers take place. This paper explores the intermediary's revenue maximization problem across all possible business models. By examining the revenue maximizing solutions under three critical business models, I discover that the market outcomes---consumers' expected surplus, producer's expected profit and the intermediary's expected revenue---are equivalent across all business models if and only if the gains from trade are large enough, which provides some insights into, and implications for online selling platforms.

(Last Update: 11/14/2019) *Abstract*

In an environment that features second-degree price discrimination, this paper fully characterizes the set of surplus divisions that can arise from all possible information consumers have about their valuation. By extending the techniques developed in a companion paper (Yang, 2019a), I show that the set of feasible surplus divisions can be characterized by a family of information structures that induce Pareto-distributed interim expected values. Unlike the linear model as in Roesler & Szentes (2017) where posted price is always optimal, the efficient frontier is generically not attainable under any information structures and there are environments in which a (nontrival) subset of the feasible surplus divisions collapses to a one-dimensional set. Nevertheless, the sets of feasible surplus divisions are stable around the linear environments.* *

(Last Update: 04/20/2017) *Abstract*

In this paper, without fully specifying the underlying game form, we showed that the probability of an inefficient breakdown in any bilateral crisis bargaining model is smaller when the more informed party has more bargaining power. Moreover, introduction of additional private information does not necessarily lead to extra efficiency loss. Several implications can be drawn from these results. Specifically, regarding international security, reducing incomplete information is not the only way to reduce the probability of war. Instead, reallocating bargaining power properly would also be effective in terms of preventing conflicts. Furthermore, these results also provide a formal justification for the power transition theory as the status-quo power can be interpreted as the party with more bargaining power when the information structure shifts due to power transition.* *

(Last Update: 04/20/2017) *Abstract*

This paper investigates the strategic interactions between the counter proliferator and the proliferator in a nuclear proliferation crisis, as well as their impacts on international security and stability. A baseline model of contest with interdependent values is established and its implications are discussed. Furthermore, we characterize the equilibria in a class of models in a "detail-free" fashion and analyze equilibrium outcomes, with particular attentions to international stability and likelihood of a successful development. It thus yields some results and implications that are robust to game forms and model details and provides several generalizations and insights to the effects of various counter-proliferation measures as well as the consequences of nuclear proliferation.* *

Short Notes

**A Note on Topological Properties of Outcomes in a Monopoly Market.**(Last Update: 10/27/2020)*Abstract***A Note on Generating Arbitrary Joint Distributions Using Partitions.**(Last Update: 10/27/2020)*Abstract*Consider a probability space , two standard Borel spaces , , and a random variable . This note shows that for any probability measure with , there exists a random variable such that has law , provided that is rich relative to . This result has applications in generating market segmentations using consumer characteristics; segmenting the residual demand by only partitioning the consumers according their values in a multi-firm, multi-product setting; and connects back to well known results in information economics.

In Progress

**Profiting from the Money Burnt: Optimal Advertisement Design and its Implications****Information Design in Bilateral Trade and (Unintended) Welfare Loss (with Wenji Xu)****Hyperstable Sequential Equilibria (with Philip Reny)****Price Discrimination in Oligopoly: An Information Design Approach****Revenue Maximization with Rich Allocation Space: Irrelevance of Contractibility**