Graphical Economies with Resale

Autor: Andrade, Gabriel P., Frongillo, Rafael, Gorokhovsky, Elliot, Srinivasan, Sharadha
Rok vydání: 2021
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1145/3465456.3467628
Popis: Kakade, Kearns, and Ortiz (KKO) introduce a graph-theoretic generalization of the classic Arrow--Debreu (AD) exchange economy. Despite its appeal as a networked version of AD, we argue that the KKO model is too local, in the sense that goods cannot travel more than one hop through the network. We introduce an alternative model in which agents may purchase goods on credit in order to resell them. In contrast to KKO, our model allows for long-range trade, and yields equilibria in more settings than KKO, including sparse endowments. Our model smoothly interpolates between the KKO and AD equilibrium concepts: we recover KKO when the resale capacity is zero, and recover AD when it is sufficiently large. We give general equilibrium existence results, and an auction-based algorithm to compute approximate equilibria when agent utilities satisfy the weak gross-substitutes property.
Comment: Accepted for publication in proceedings of the 22nd ACM Conference on Economics and Computation (EC '21). 33 pages
Databáze: arXiv