Full Substitutability

January 2021
Article

Chain Stability in Trading Networks

By: John William Hatfield, Scott Duke Kominers, Alexandru Nichifor, Michael Ostrovsky and Alexander Westkamp

We show that in general trading networks with bilateral contracts, a suitably adapted chain stability concept (Ostrovsky, 2008) is equivalent to stability (Hatfield and Kominers, 2012; Hatfield et al., 2013) if all agents' preferences are fully substitutable and... View Details

Keywords: Matching; Trading Networks; Chain Stability; Stability; Competitive Equilibria; Full Substitutability; Laws Of Aggregate Supply And Demand; Contracts; Market Design; Balance and Stability

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Article

Matching in Networks with Bilateral Contracts: Corrigendum

By: John William Hatfield, Ravi Jagadeesan and Scott Duke Kominers

Hatfield and Kominers (2012) introduced a model of matching in networks with bilateral contracts and showed that stable outcomes exist in supply chains when firms' preferences over contracts are fully substitutable. Hatfield and Kominers (2012) also asserted that in... View Details

Keywords: Matching With Contracts; Substitutability; Mathematical Methods

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November 2019
Article

By: John William Hatfield, Scott Duke Kominers, Alexandru Nichifor, Michael Ostrovsky and Alexander Westkamp

Various forms of substitutability are essential for establishing the existence of equilibria and other useful properties in diverse settings such as matching, auctions, and exchange economies with indivisible goods. We extend earlier models’ definitions of... View Details

Keywords: Substitutability; Mathematical Methods; Auctions; Market Design

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2018
Working Paper