Title
Discrete Price Updates Yield Fast Convergence in Ongoing Markets with Finite Warehouses
Abstract
This paper shows that in suitable markets, even with out-of-equilibrium trade allowed, a simple price update rule leads to rapid convergence toward the equilibrium. In particular, this paper considers a Fisher market repeated over an unbounded number of time steps, with the addition of finite sized warehouses to enable non-equilibrium trade. The main result is that suitable tatonnement style price updates lead to convergence in a significant subset of markets satisfying the Weak Gross Substitutes property. Throughout this process the warehouse are always able to store or meet demand imbalances (the needed capacity depends on the initial imbalances). Finally, our price update rule is robust in a variety of regards: 1. The updates for each good depend only on information about that good (its current price, its excess demand since its last update) and occur asynchronously from updates to other prices. 2. The process is resilient to error in the excess demand data. 3. Likewise, the process is resilient to discreteness, i.e. a limit to divisibility, both of goods and money.
Year
Venue
Keywords
2010
Clinical Orthopaedics and Related Research
satisfiability,game theory
Field
DocType
Volume
Convergence (routing),Mathematical economics,Walrasian auction,Economics,Warehouse,Divisibility rule,Rapid convergence
Journal
abs/1012.2
Citations 
PageRank 
References 
2
0.39
15
Authors
3
Name
Order
Citations
PageRank
Richard Cole14527505.61
Lisa Fleischer220.39
Ashish Rastogi316110.55