Games of capacity allocation in many-to-one matching with an aftermarket

In this paper, we study many-to-one matching (hospital-intern markets) with an aftermarket. We analyze the Nash equilibria of capacity allocation games, in which preferences of hospitals and interns are common knowledge and every hospital determines a quota for the regular market given its total capacity for the two matching periods. Under the intern-optimal stable matching system, we show that a pure-strategy Nash equilibrium may not exist. Common preferences for hospitals ensure the existence of equilibrium in weakly dominant strategies whereas unlike in games of capacity manipulation strong monotonicity of population is not a sufficient restriction on preferences to avoid the nonexistence problem. Besides, in games of capacity allocation, it is not true either that every hospital weakly prefers a mixed-strategy Nash equilibrium to any larger regular market quota profiles

Games with capacity manipulation : incentives and Nash equilibria

Studying the interaction between preference and capacity manipulation in matching markets, we prove that acyclicity is a necessary and sufficient condition that guarantees the stability of a Nash equilibrium and the strategy-proofness of truthful capacity revelation under the hospital-optimal and intern-optimal stable rules. We then introduce generalized capacity manipulations games where hospitals move first and state their capacities, and interns are subsequently assigned to hospitals using a sequential mechanism. In this setting, we first consider stable revelation mechanisms and introduce conditions guaranteeing the stability of the outcome. Next, we prove that every stable non-revelation mechanism leads to unstable allocations, unless restrictions on the preferences of the agents are introducedStable matching, Capacity, Nash equilibrium, Cycles

Does the absence of competition in the market foster competition for the market ? A dynamic approach to aftermarkets

In this paper, we investigate dynamic price competition when firms strategically interact in two distinct but interrelated markets : a primary market and an aftermarket, where indirect network effects arise. We set up a differential game of two-dimensional price competition and we conclude that the absence of price competition in the aftermarket (competition in the market) fosters dynamic price competition in the primary market (competition for the market). We also investigate the impact of network sizes on firms’ prices in the primary market concluding that, in equilibrium, larger firms have incentives to compete more fiercely for new ‘uncolonized’ consumers.dynamic competition; differential games; Linear Markov Perfect equilibrium

Does the absence of competition in the market foster competition for the market? A dynamic approach to aftermarkets

In this paper, we investigate dynamic price competition when firms strategically interact in two distinct but interrelated markets: a primary market and an aftermarket, where indirect network effects arise. We set up a differential game of two-dimensional price competition and we conclude that the absence of price competition in the aftermarket (competition in the market) fosters dynamic price competition in the primary market (competition for the market). We also investigate the impact of network sizes on firms' prices in the primary market concluding that, in equilibrium, larger firms have incentives to compete more fiercely for new "uncolonized" consumers.dynamic competition, differential games, Linear Markov Perfect Equilibrium, aftermarkets, network effects.

Strategic Issues in College Admissions with Early Decision

In this paper, we consider college admissions with early decision using a many-to-one matching model with two periods. As in reality, each student commits to only one college in the early decision period and agrees to enroll if admitted. Under responsive and consistent preferences for both colleges and students, we show that there exists no stable matching system, consisting of early and regular decision matching rules, which is nonmanipulable via early decision quotas by colleges or early decision preferences by colleges or students

Liquidity in frictional asset markets

On November 14-15, 2008, the Federal Reserve Bank of Cleveland hosted a conference on “Liquidity in Frictional Asset Markets.” In this paper we review the literature on asset markets with trading frictions in both finance and monetary theory using a simple search-theoretic model, and we discuss the papers presented at the conference in the context of this literature. We will show the diversity of topics covered in this literature, e.g., the dynamics of housing and credit markets, the functioning of payment systems, optimal monetary policy and the cost of inflation, the role of banks, the effect of informational frictions on asset trading.Liquidity (Economics)

Spinning and Underpricing: A Legal and Economic Analysis of the Preferential Allocation of Shares in Initial Public Offerings

This Article investigates the preferential allocation, or “spinning,” of shares in initial public offerings. It begins by examining the offering process and the incentives of underwriters, issuers, and investors. Through this examination of the participants and the process, it locates the harm of spinning in the underpricing of initial public offerings. The Article then seeks to identify precisely which participants in the offering process are harmed by the practice and finally evaluates the most appropriate means of addressing this harm

Imperfect Competition in Two-sided Matching Markets

This paper considers a simple equilibrium model of an imperfectly competitive two-sided matching market. Firms and workers may have heterogeneous preferences over matches on the other side, and the model allows for both uniform and personalized wages or contracts. To make the model tractable, I use the Azevedo and Leshno (2013) framework, in which a finite number of firms is matched to a continuum of workers. In equilibrium, even if wages are exogenous and fixed, firms have incentives to strategically reduce their capacity, to increase the quality of their worker pool. The intensity of incentives to reduce capacity is given by a simple formula, analogous to the classic Cournot model, but depends on different moments of the distribution of preferences. I compare markets with uniform and personalized wages. For fixed quantities, markets with personalized wages always yield higher efficiency than markets with uniform wages, but may be less efficient if firms reduce capacity to avoid bidding too much for star workers

Matching with Couples: Stability and Incentives in Large Markets

Accommodating couples has been a longstanding issue in the design of centralized labor market clearinghouses for doctors and psychologists, because couples view pairs of jobs as complements. A stable matching may not exist when couples are present. We find conditions under which a stable matching exists with high probability in large markets. We present a mechanism that finds a stable matching with high probability, and which makes truth-telling by all participants an approximate equilibrium. We relate these theoretical results to the job market for psychologists, in which stable matchings exist for all years of the data, despite the presence of couples.