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We introduce a class of utility-based market makers that always accept orders at their risk-neutral prices. We derive necessary and sufficient conditions for such market makers to have bounded loss. We prove that hyperbolic absolute risk…

Computer Science and Game Theory · Computer Science 2012-10-16 Yiling Chen , David M Pennock

In decentralized finance, any individual can pool their assets into an automated market maker (AMM) -- herein we focus on the constant product market maker (CPMM) -- in exchange for a claim on a fraction of future pool assets and fees…

Mathematical Finance · Quantitative Finance 2026-01-27 Maxim Bichuch , Zachary Feinstein

We examine how the introduction of concentrated liquidity has changed the liquidity provision market in automated market makers such as Uniswap. To this end, we compare average liquidity provider returns from trading fees before and after…

Trading and Market Microstructure · Quantitative Finance 2023-10-30 Robin Fritsch

We propose a new forward electricity market framework that admits heterogeneous market participants with second-order cone strategy sets, who accurately express the nonlinearities in their costs and constraints through conic bids, and a…

Theoretical Economics · Economics 2022-12-20 Anubhav Ratha , Pierre Pinson , Hélène Le Cadre , Ana Virag , Jalal Kazempour

Two popular forms of automated market makers are constant sum and constant product (CSMM and CPMM respectively). Each has its advantages and disadvantages: CSMMs have stable exchange rates but are vulnerable to arbitrage and can sometimes…

Trading and Market Microstructure · Quantitative Finance 2022-04-07 Alexander Port , Neelesh Tiruviluamala

The European power grid can be divided into several market areas where the price of electricity is determined in a day-ahead auction. Market participants can provide continuous hourly bid curves and combinatorial bids with associated…

Optimization and Control · Mathematics 2015-03-02 Alexander Martin , Johannes C. Müller , Sebastian Pokutta

With the emergence of decentralized finance, new trading mechanisms called Automated Market Makers have appeared. The most popular Automated Market Makers are Constant Function Market Makers. They have been studied both theoretically and…

Trading and Market Microstructure · Quantitative Finance 2023-11-21 Philippe Bergault , Louis Bertucci , David Bouba , Olivier Guéant

This paper describe the implementation details of constant ellipse based automated market makers (CoinSwap). A CoinSwap prototype has been implemented at http://coinswapapp.io/ and the source codes are available at…

Cryptography and Security · Computer Science 2021-03-08 Yongge Wang

Risk-neutral pricing dictates that the discounted derivative price is a martingale in a measure equivalent to the economic measure. The residual ambiguity for incomplete markets is here resolved by minimising the entropy of the price…

Mathematical Finance · Quantitative Finance 2020-07-01 Paul McCloud

The electricity industry has been one of the first to face technological changes motivated by sustainability concerns. Whilst efficiency aspects of market design have tended to focus upon market power concerns, the new policy challenges…

Theoretical Economics · Economics 2023-04-06 Lamia Varawala , Mohammad Reza Hesamzadeh , György Dán , Derek Bunn , Juan Rosellón

We establish sufficient conditions for nodal price response matrix in electric power system to be symmetric and negative (semi-)definite. The results are applicable for electricity markets with nonlinear and intertemporal constraints.

Optimization and Control · Mathematics 2015-10-05 Vadim Borokhov

As distributed energy resources (DERs) proliferate, future power system will need new market platforms enabling prosumers to trade various electricity and grid-support products. However, prosumers often exhibit complex, product…

Systems and Control · Electrical Eng. & Systems 2026-03-12 Shobhit Singhal , Lesia Mitridati

We present a unified, market-complete model that integrates both the Bachelier and Black-Scholes-Merton frameworks for asset pricing. The model allows for the study, within a unified framework, of asset pricing in a natural world that…

Mathematical Finance · Quantitative Finance 2024-06-11 W. Brent Lindquist , Svetlozar T. Rachev , Jagdish Gnawali , Frank J. Fabozzi

We consider a continuous-time financial market with an asset whose price is modeled by a linear stochastic differential equation with drift and volatility switching driven by a uniformly ergodic jump Markov process with a countable state…

Probability · Mathematics 2025-01-14 Vitaliy Golomoziy , Kamil Kladivko , Yuliya Mishura

We introduce a new class of combinatorial markets in which agents have covering constraints over resources required and are interested in delay minimization. Our market model is applicable to several settings including scheduling, cloud…

Computer Science and Game Theory · Computer Science 2017-04-17 Nikhil Devanur , Jugal Garg , Ruta Mehta , Vijay V. Vazirani , Sadra Yazdanbod

Wholesale electricity market designs in practice do not provide the market participants with adequate mechanisms to hedge their financial risks. Demanders and suppliers will likely face even greater risks with the deepening penetration of…

Optimization and Control · Mathematics 2017-04-04 Khaled Alshehri , Subhonmesh Bose , Tamer Başar

In this paper we develop numerical pricing methodologies for European style Exchange Options written on a pair of correlated assets, in a market with finite liquidity. In contrast to the standard multi-asset Black-Scholes framework, trading…

Pricing of Securities · Quantitative Finance 2020-06-16 Kevin S. Zhang , Traian A. Pirvu

We study overpricing in a repeated game between two representative agents: a market maker, who controls market liquidity, and a market taker, who chooses trade quantities. Market prices evolve through the endogenous price impact of trades…

Trading and Market Microstructure · Quantitative Finance 2026-05-12 Luigi Foscari , Emanuele Guidotti , Nicolò Cesa-Bianchi , Tatjana Chavdarova , Alfio Ferrara

We propose a new structural model that can compute the electricity spot and forward prices in two coupled markets with limited interconnection and multiple fuels. We choose a structural approach in order to represent some key…

Mathematical Finance · Quantitative Finance 2017-04-21 Clemence Alasseur , Olivier Feron

This paper compares mathematical models for automated market makers including logarithmic market scoring rule (LMSR), liquidity sensitive LMSR (LS-LMSR), constant product/mean/sum, and others. It is shown that though LMSR may not be a good…

Trading and Market Microstructure · Quantitative Finance 2024-05-21 Yongge Wang
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