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Quick or Cheap? Breaking Points in Dynamic Markets

Panayotis Mertikopoulos, Heinrich H. Nax and Bary Pradelski
Additional contact information
Panayotis Mertikopoulos: Université Grenoble Alpes
Heinrich H. Nax: Department of Humanities, Social and Political Sciences, Eidgenössische Technische Hochschule Zürich

No 2217, Cowles Foundation Discussion Papers from Cowles Foundation for Research in Economics, Yale University

Abstract: We examine two-sided markets where players arrive stochastically over time and are drawn from a continuum of types. The cost of matching a client and provider varies, so a social planner is faced with two contending objectives: a) to reduce players' waiting time before getting matched; and b) to form efficient pairs in order to reduce matching costs. We show that such markets are characterized by a quick or cheap dilemma: Under a large class of distributional assumptions, there is no 'free lunch', i.e., there exists no clearing schedule that is simultaneously optimal along both objectives. We further identify a unique breaking point signifying a stark reduction in matching cost contrasted by an increase in waiting time. Generalizing this model, we identify two regimes: one, where no free lunch exists; the other, where a window of opportunity opens to achieve a free lunch. Remarkably, greedy scheduling is never optimal in this setting.

Keywords: Dynamic matching; Online markets; Market design (search for similar items in EconPapers)
JEL-codes: C60 C78 D47 D80 (search for similar items in EconPapers)
Pages: 45 pages
Date: 2019-12
New Economics Papers: this item is included in nep-des, nep-gth, nep-mic and nep-ore
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