We develop a model of assignment games with pairwise-identity-dependent externalities. A concept of conjectural equilibrium is proposed, and the universal conjecture is shown to be the necessary and sufficient condition for the general existence of equilibrium. We then apply the solution concept...

We formulate a general model and stability notion for two-sided pairwise matching problems with individually insignificant agents. Matchings are formulated as joint distributions over the characteristics of the populations to be matched. These characteristics can be high-dimensional and need not...

This paper develops a framework for studying repeated matching markets. The model departs from the Gale-Shapley matching model by having a fixed set of long-lived players (firms) match with a new generation of short-lived players (workers) in every period. I define history-dependent and...

Motivated by school admission systems used in, e.g., Turkey and Sweden, this paper investigates a sequential two-stage admission system with public and private schools. To perform the analysis, relevant axioms and equilibrium notions need to be tailored for the considered dynamic setting. In...

When allocating indivisible objects, agents might have equal priority rights for some objects. A common practice is to break the ties using a lottery and randomize over deterministic allocation mechanisms. Such randomizations usually lead to unfairness and inefficiency ex-ante. We propose a...

This paper investigates how externalities from downstream competition shape sorting in upstream labor markets. We model it as a two-stage game: A first stage of simultaneous 1-to-1 matching between firms and managers and a second stage of Cournot competition among matched pairs. If firm...

Stable matchings in the presence of complementarities need not exist. With a canonical form of payoff functions, the conventional sufficient condition for existence substantially restricts the range of pairwise complementarity/substitutability values. This paper provides a new sufficient...

In centralized allocation problems participants have incomplete information about each others’ types. Hence, the designer may deviate from the announced allocation mechanism without the participants being able to detect these deviations. In this paper, I develop a theory of transparency in...

Many two-sided matching situations involve multiperiod interaction. Traditional cooperative solutions, such as stability and the core, often identify unintuitive outcomes (or are empty) when applied to such markets. As an alternative, this study proposes the criterion of perfect a stability. An...

We develop a model of assignment games with pairwise-identitydependent externalities. A concept of conjectural equilibrium is proposed, and the universal conjecture is shown to be the necessary and sufficient condition for the general existence of equilibrium. We then apply the solution concept...