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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

169,181 papers · 148 categories

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18 results for Cournot duopoly

Algorithmic collusion outperforms humans in a duopoly market, reducing social welfare.

problem The threat of algorithmic collusion in competitive markets.
method Proposed and tested an algorithm to extort human competitors in a Cournot duopoly market.
result Algorithmic collusion leads to higher profits for the algorithm and reduced social welfare.

We consider the static and dynamic models of Cournot duopoly with tax evasion. In the dynamic model we introduce the time delay and we analyze the local stability of the stationary state. There is a critical value of the delay when the Hopf bifurcation occurs.

2007-06-05abs ↗pdf ↗

Paper generalizes Hardy-Rogers maps for market equilibrium analysis in duopoly markets.

problem Existence and uniqueness of market equilibrium in duopoly markets with non-differentiable, nonlinear response functions.
method Coupled fixed points approach for generalized Hardy-Rogers maps.
result Enriched understanding of market equilibrium in duopoly markets with non-differentiable response functions.

We present the quantum model of Bertrand duopoly and study the entanglement behavior on the profit functions of the firms. Using the concept of optimal response of each firm to the price of the opponent, we found only one Nash equilibirum point for maximally entangled initial state. The very presence of quantum entangl…

2010-01-16abs ↗pdf ↗

A simple Ising spin model which can describe the mechanism of advertising in a duopoly market is proposed. In contrast to other agent-based models, the influence does not flow inward from the surrounding neighbors to the center site, but spreads outward from the center to the neighbors. The model thus describes the spr…

2002-11-04abs ↗pdf ↗

Investors' strategic trading affects asset prices, modeled as a game.

problem Investors' trading rates influence asset prices in dynamic markets.
method Model as a non-zero sum singular stochastic differential game, establishing equivalence between best-response and auxiliary control problems.
result Unique Nash equilibrium is deterministic with a closed-form solution.

LLMs can collude in market divisions, maximizing profits.

problem Strategic collusion of LLM agents in multi-commodity markets.
method Examined LLMs in Cournot competition frameworks, analyzing pricing and resource allocation strategies.
result LLMs can monopolize specific commodities without direct human input or explicit collusion commands.

Supply uncertainty leads to inefficient supply chain network formation.

problem How supply uncertainty affects supply chain network structure.
method Modeling a supply chain network with uncertain yield, where retailers and suppliers must form relationships and compete.
result Retailers tend to link to too few suppliers, leading to insufficient diversification of the supply base.

We investigate a randomization procedure undertaken in real option games which can serve as a basic model of regulation in a duopoly model of preemptive investment. We recall the rigorous framework of [M. Grasselli, V. Leclère and M. Ludkovsky, Priority Option: the value of being a leader, International Journal of Theo…

2013-09-07abs ↗pdf ↗

Paper studies competitive networks where teams aim to minimize their own objectives, adapting to each other's strategies.

problem Competitive networks where teams have conflicting objectives.
method Proposes diffusion learning algorithms for two classes of network games: zero-sum and non-zero-sum.
result Stability performance of proposed algorithms analyzed and demonstrated through experiments.

We introduce a quantitative approach to comparative statics that allows to bound the maximum effect of an exogenous parameter change on a system's equilibrium. The motivation for this approach is a well known paradox in multimarket Cournot competition, where a positive price shock on a monopoly market may actually redu…

2013-07-22abs ↗pdf ↗

JIT liquidity providers can sometimes reduce overall market liquidity by crowding out passive LPs.

problem JIT liquidity providers can reduce overall market liquidity by crowding out passive LPs.
method Game-theoretic model with asymmetrically informed agents to analyze JIT liquidity provision in blockchain-based decentralized exchanges.
result JIT LPs only provide liquidity to uninformed orders and crowd out passive LPs when order volume is not sufficiently elastic to pool depth, potentially reducing overall market liquidity.

Model predicts stationary equilibrium in investment decisions of firms in fluctuating markets.

problem Investment decisions in fluctuating markets with varying volatility and commodity prices.
method Mean-field model with Gaussian productivity shocks and two-state Markov chain for macroeconomic events.
result Existence, uniqueness, and characterization of stationary mean-field equilibrium with barrier-type investment strategy.