Liquidity Provision with Adverse Selection and Inventory Costs

@article{Herdegen2021LiquidityPW,
  title={Liquidity Provision with Adverse Selection and Inventory Costs},
  author={Martin Herdegen and Johannes Muhle-Karbe and Florian Stebegg},
  journal={Capital Markets: Market Microstructure eJournal},
  year={2021}
}
We study one-shot Nash competition between an arbitrary number of identical dealers that compete for the order flow of a client. The client trades either because of proprietary information, exposure to idiosyncratic risk, or a mix of both trading motives. When quoting their price schedules, the dealers do not know the client's type but only its distribution, and in turn choose their price quotes to mitigate between adverse selection and inventory costs. Under essentially minimal conditions, we… Expand

References

SHOWING 1-10 OF 18 REFERENCES
Optimal dealer pricing under transactions and return uncertainty
Abstract The paper examines the optimal behavior of a single dealer who is faced with a stochastic demand to trade (modeled by a continuous time Poisson jump process) and facing return risk on hisExpand
Strategic Liquidity Provision in Limit Order Markets
We characterize and prove the existence of Nash equilibrium in a limit order market with a finite number of risk-neutral liquidity providers. We show that if there is sufficient adverse selection,Expand
COMPETING MECHANISMS IN A COMMON VALUE ENVIRONMENT
Consider strategic risk-neutral traders competing in schedules to supply liquidity to a risk-averse agent who is privately informed about the value of the asset and his hedging needs. ImperfectExpand
On Competitive Nonlinear Pricing
Many financial markets rely on a discriminatory limit-order book to balance supply and demand. We study these markets in a static model in which uninformed market makers compete in nonlinear tariffsExpand
Insider Trading, Liquidity, and the Role of the Monopolist Specialist
Trading on private information creates inefficiencies because there is less than optimal risk sharing. This occurs because the response of marketmakers to the existence of traders with privateExpand
Trading Under Market Impact: Crossing Networks Interacting With Dealer Markets
We use a model with agency frictions to analyze the structure of a dealer market that faces competition from a crossing network. Traders are privately informed about their types (e.g. theirExpand
Logconcavity versus Logconvexity: A Complete Characterization
This paper studies aspects of the broad class of log-concave probability distributions that arise in the economics of uncertainty and information. Useful properties of univariate log-concaveExpand
Preserving Log-Concavity Under Convolution: Comment
In arguing that their results are broadly applicable BMR claim that log–concavity of the convolution is not a very restrictive condition, since it is implied by the log–concavity of either theExpand
Log-Concavity and Strong Log-Concavity: a review.
TLDR
A new proof of Efron's theorem is provided using the recent asymmetric Brascamp-Lieb inequality due to Otto and Menz (2013) and along the way connections between log-concavity and other areas of mathematics and statistics are reviewed. Expand
Ordinary Differential Equations.
together with the initial condition y(t0) = y0 A numerical solution to this problem generates a sequence of values for the independent variable, t0, t1, . . . , and a corresponding sequence of valuesExpand
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