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Article

Testing Substitutability

By: John William Hatfield, Nicole Immorlica and Scott Duke Kominers

We provide an algorithm for testing the substitutability of a length-N preference relation over a set of contracts X in time O(|X|3⋅N3). Access to the preference relation is essential for this result: We show that a substitutability-testing algorithm with access only... View Details

Keywords: Substitutability; Matching; Communication Complexity; Preference Elicitation; Marketplace Matching; Communication; Mathematical Methods; Economics

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2009
Working Paper

Smith and Rawls Share a Room: Stability and Medians

By: Bettina-Elisabeth Klaus and Flip Klijn

We consider one-to-one, one-sided matching (roommate) problems in which agents can either be matched as pairs or remain single. We introduce a so-called bi-choice graph for each pair of stable matchings and characterize its structure. Exploiting this structure we... View Details

Keywords: Fairness; One-Sided Platforms; Two-Sided Platforms; Marketplace Matching; Mathematical Methods; Balance and Stability

2008
Chapter

Matching and Market Design

By: Muriel Niederle, Alvin E. Roth and Tayfun Sonmez

Matching is the part of economics concerned with who transacts with whom and how. Models of matching, starting with the Gale-Shapley deferred acceptance algorithm, have been particularly useful in studying labour markets and in helping design clearinghouses to fix... View Details

Keywords: Market Design; Marketplace Matching; Outcome or Result; Mathematical Methods

June 1993 (Revised July 1996)
Case

Bajaj Auto Ltd.

By: John A. Quelch

Bajaj Auto Ltd., the world's second-largest manufacturer of two- and three-wheeler vehicles, is facing increasing competition in its domestic Indian market. The case evaluates appropriate marketing responses both in the Indian market and export markets. View Details

Keywords: Competition; Marketplace Matching; Product Development; Product Marketing; Transportation Industry; Manufacturing Industry; Auto Industry; India

2009
Working Paper

Farsighted Stability for Roommate Markets

By: Bettina-Elisabeth Klaus, Flip Klijn and Markus Walzl

Using a bi-choice graph technique (Klaus and Klijn, 2009), we show that a matching for a roommate market indirectly dominates another matching if and only if no blocking pair of the former is matched in the latter (Proposition 1). Using this characterization of... View Details

Keywords: Two-Sided Platforms; Marketplace Matching; Mathematical Methods; Balance and Stability

2010
Working Paper

Unraveling Results from Comparable Demand and Supply: An Experimental Investigation

By: Muriel Niederle, Alvin E. Roth and M. Utku Unver

Markets sometimes unravel, with offers becoming inefficiently early. Often this is attributed to competition arising from an imbalance of demand and supply, typically excess demand for workers. However this presents a puzzle, since unraveling can only occur when firms... View Details

Keywords: Labor; Marketplace Matching; Quality; Competition; Balance and Stability

2010
Working Paper

Manipulability in Matching Markets: Conflict and Coincidence of Interests

We study comparative statics of manipulations by women in the men-proposing deferred acceptance mechanism in the two-sided one-to-one marriage market. We prove that if a group of women employs truncation strategies or weakly successfully manipulates, then all other... View Details

Keywords: Conflict of Interests; Marketplace Matching; Two-Sided Platforms

January 2021 (Revised March 2022)
Case

Brigad: The Future of Work

By: Nien-he Hsieh, Elena Corsi and Daniela Beyersdorfer

In 2019 Florent Malbranche, CEO and co-founder of the French tech startup Brigad, pondered the next growth steps. Founded in 2015, Brigad’s objective was two-fold: to help restaurants and bars find qualified staff for punctual shifts, and to make it easier for... View Details

Keywords: Platform Business; Gig Economy; Regulation; Entrepreneurship; Marketplace Matching; Growth and Development Strategy

November 2017
Case

Poppy: A Modern Village for Childcare

By: Thomas Eisenmann and Jeff Huizinga

In 2017, management at Poppy, which matched families that required occasional childcare with thoroughly vetted caregivers, was formulating plans for the Seattle-based seed-stage startup’s next phase of expansion. One option was to grow using the same business model... View Details

Keywords: Entrepreneurship; Market Design; Multi-Sided Platforms; Marketplace Matching; Expansion; United States

January 2017
Article

Contract Design and Stability in Many-to-Many Matching

By: John William Hatfield and Scott Duke Kominers

We develop a model of many-to-many matching with contracts that subsumes as special cases many-to-many matching markets and buyer/seller markets with heterogeneous and indivisible goods. In our setting, substitutable preferences are sufficient to guarantee the... View Details

Keywords: Many-to-Many Matching; Stability; Substitutes; Contract Design; Contracts; Marketplace Matching; Balance and Stability

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Article

Analyzing Scrip Systems

By: Kris Johnson, David Simchi-Levi and Peng Sun

Scrip systems provide a nonmonetary trade economy for exchange of resources. We model a scrip system as a stochastic game and study system design issues on selection rules to match potential trade partners over time. We show the optimality of one particular rule in... View Details

Keywords: ＂Repeated Games＂; Stochastic Trust Game; Dynamic Program; P2P Lending; Scrip Systems; Artificial Currency; Non-monetary Trade Economies; Marketplace Matching; Currency; Operations; Game Theory

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Joseph I. Miller

Under Miller’s direction, Cummins Engine was transformed from a small domestic engine producer to the largest provider of diesel truck engines in the world. He dramatically expanded the company’s presence in the international marketplace... View Details

Keywords: Fabricated Goods

05 Apr 2016
News

A Business Plan with Spice

saffron fields of Afghanistan as cofounders of Rumi Spice, a company which imports one of the world’s most expensive foodstuffs and markets it to top chefs. “Connecting Afghan farmers to the international marketplace is something that's... View Details

2015
Working Paper

Stability, Strategy-Proofness, and Cumulative Offer Mechanisms

By: John William Hatfield, Scott Duke Kominers and Alexander Westkamp

We consider the setting of many-to-one matching with contracts, where firms may demand multiple contracts but each worker desires at most one contract. We introduce three novel conditions—observable substitutability, observable size monotonicity,... View Details

Keywords: Matching With Contracts; Stability; Strategy-proofness; Substitutability; Size Monotonicity; Cumulative Offer Mechanism; Contracts; Market Design; Marketplace Matching; Balance and Stability

December 2024
Article

Respect for Improvements and Comparative Statics in Matching Markets

By: Scott Duke Kominers

One of the oldest results in the theory of two-sided matching is the entry comparative static, which shows that under the Gale–Shapley deferred acceptance algorithm, adding a new agent to one side of the market makes all the agents on the other side weakly... View Details

Keywords: Market Entry and Exit; Marketplace Matching; Mathematical Methods; Market Design

Winter 2013
Article

The New Patent Intermediaries: Platforms, Defensive Aggregators and Super-Aggregators

By: Andrei Hagiu and David B. Yoffie

The patent market consists mainly of privately negotiated, bilateral transactions, either sales or cross-licenses, between large companies. There is no eBay, Amazon, New York Stock Exchange, or Kelley's Blue Book equivalent for patents, and when buyers and sellers do... View Details

Keywords: Intellectual Property; Platforms; Intermediaries; Aggregator; Patents; Digital Platforms; Marketplace Matching; Distribution Channels

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Fred DeLuca

Hoping to earn enough money to go to college, DeLuca borrowed $1,000 from a family friend and opened his first sub shop in 1965. Though he struggled for a few years, he did pay his way through college. After graduation, DeLuca jumped on the franchising boon in the fast... View Details

Keywords: Food & Tobacco

2008
Working Paper

Stability and Nash Implementation in Matching Markets with Couples

By: Claus-Jochen Haake and Bettina-Elisabeth Klaus

We consider two-sided matching markets with couples. First, we extend a result by Klaus and Klijn (2005, Theorem 3.3) and show that for any weakly responsive couples market there always exists a "double stable" matching, i.e., a matching that is stable for the couples... View Details

Keywords: Marketplace Matching; Balance and Stability; Game Theory

2014
Working Paper

Hidden Substitutes

By: John William Hatfield and Scott Duke Kominers

In this paper, we show that preferences exhibiting some forms of complementarity in fact have an underlying substitutable structure. Specifically, we show that some preferences that are not substitutable in the setting of many-to-one matching with contracts become... View Details

Keywords: Many-to-One Matching; Many-to-Many Matching; Stability; Substitutes; Matching With Contracts; Slot-Specific Priorities; Sherlock; Market Design; Contracts; Marketplace Matching; Balance and Stability

01 Nov 2013
News

Selling Crafts with a Story

turned into Brika.com, an online marketplace featuring everything from handmade tea towels and dishes to tote bags and "Mr. T" onesies for baby. Brika, which takes its name from the Spanish word for factory, fabricá (they just loved the... View Details

Keywords: Maureen Harmon; crafts; hobbies; ecommerce; Miscellaneous Store Retailers; Retail Trade; Arts, Entertainment

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