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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.

168,742 papers · 148 categories

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65130194259 · Jun 202019922001200920172026
48 results for risk averse agents

Different models of capital exchange among economic agents have been proposed recently trying to explain the emergence of Pareto's wealth power law distribution. One important factor to be considered is the existence of risk aversion. In this paper we study a model where agents posses different levels of risk aversion,…

2003-11-06abs ↗pdf ↗

The standard asset pricing models (the CCAPM and the Epstein-Zin non-expected utility model) counterintuitively predict that equilibrium asset prices can rise if the representative agent's risk aversion increases. If the income effect, which implies enhanced saving as a result of an increase in risk aversion, dominates…

2014-03-04abs ↗pdf ↗

The paper studies risk-sharing allocations for risk-seeking agents using a common distortion risk measure.

problem Characterizing Pareto-optimal risk-sharing allocations for risk-seeking agents.
method Modeling preferences with a common distortion risk measure and analyzing three settings: risk-averse, risk-seeking, and inverse S-shaped distortion.
result Pareto-optimal allocations for risk-seeking agents are counter-monotonic, not comonotonic.

Optimal risk sharing found for heterogeneous risk attitudes using distortion risk measures.

problem Risk sharing in economies with diverse risk attitudes.
method Modeling preferences with distortion risk measures, using comonotonic and counter-monotonic principles.
result Optimal risk sharing strategies identified based on risk attitudes, reducing the nn-agent problem to a two-agent formulation.

The paper studies an oligopolistic equilibrium model of financial agents who aim to share their random endowments. The risk-sharing securities and their prices are endogenously determined as the outcome of a strategic game played among all the participating agents. In the complete-market setting, each agent's set of st…

2012-06-02abs ↗pdf ↗

On a capital market the social group is formed from traders. Individual behaviour of agents is influenced by the need to associate with other agents and to obtain the approval of other agents in the group. Making decisions an individual equates own needs with those of the other agents. Any two agents from the group may…

2004-12-31abs ↗pdf ↗

Optimal liquidation strategy for a risk-averse investor in a one-sided limit order book driven by a Levy process.

problem Balancing market risk and execution cost for a large share liquidation.
method Modeling the price process as a Levy process and solving a singular two-dimensional optimisation problem.
result Explicit expression for the optimal intervention boundary.

We introduce a strategic behavior in reinsurance bilateral transactions, where agents choose the risk preferences they will appear to have in the transaction. Within a wide class of risk measures, we identify agents' strategic choices to a range of risk aversion coefficients. It is shown that at the strictly beneficial…

2019-09-04abs ↗pdf ↗

This note will extend the research presented in Brown & Rogers (2009) to the case of CRRA agents. We consider the model outlined in that paper in which agents had diverse beliefs about the dividends produced by a risky asset. We now assume that the agents all have CRRA utility, with some integer coefficient of relative…

2009-07-28abs ↗pdf ↗

The paper addresses how to complete incomplete risk markets by iteratively enhancing welfare.

problem How to complete incomplete risk markets to enhance welfare.
method Iterative mechanism to complete the market while monotonically enhancing welfare.
result Iterative completion of incomplete risk markets can enhance welfare.

Investment and consumption strategy for risk-averse agents with Epstein-Zin utility.

problem Optimal investment and consumption strategy for Epstein-Zin utility.
method Detailed introduction to Epstein-Zin utility, existence and uniqueness proof, verification argument.
result Existence and uniqueness of optimal solution for Epstein-Zin utility under certain parameter restrictions.

TRIBE model uses LLMs to simulate human trading behavior in bond markets.

problem Complexities in decentralized bond market transactions.
method Agent-based model augmented with LLMs to simulate human-like decision-making.
result Slight trade aversion in LLMs can lead to complete market collapse.

The comparative statics of the optimal portfolios across individuals is carried out for a continuous-time complete market model, where the risky assets price process follows a joint geometric Brownian motion with time-dependent and deterministic coefficients. It turns out that the indirect utility functions inherit the…

2008-05-05abs ↗pdf ↗

We introduce an interactive market setup with sequential auctions where agents receive variegated signals with a known deadline. The effects of differential information and mutual learning on the allocation of overall profit \& loss (P\&L) and the pace of price discovery are analysed. We characterise the signal-based e…

2016-10-13abs ↗pdf ↗

The study shows how probability weighting can lead to betting in a risk-averse economy.

problem Understanding how probability weighting affects economic behavior and risk aversion.
method Examining a von Neumann-Morgenstern economy with an RDU agent to model probability weighting effects.
result Probability weighting can lead to endogenous betting in an economy with common beliefs.

Forward hedging reshapes incentive provision in firms.

problem How does forward hedging affect incentive provision in firms?
method We consider a CARA framework to jointly characterize optimal production, compensation, and static hedging in equilibrium.
result Delegation and external hedging are partial substitutes, and delegation can increase firm value even when the agent is more risk averse.

A risk-averse agent hedges her exposure to a non-tradable risk factor UU using a correlated traded asset SS and accounts for the impact of her trades on both factors. The effect of the agent's trades on UU is referred to as cross-impact. By solving the agent's stochastic control problem, we obtain a closed-form expr…

2019-07-31abs ↗pdf ↗

In this article we consider a special case of an optimal consumption/optimal portfolio problem first studied by Constantinides and Magill and by Davis and Norman, in which an agent with constant relative risk aversion seeks to maximise expected discounted utility of consumption over the infinite horizon, in a model com…

2014-09-11abs ↗pdf ↗

New MFG model for MV portfolio management with peer-based risk aversion.

problem Time-inconsistent mean-variance portfolio management with peer-based risk aversion.
method Mean-field game, smooth regularization, fixed-point arguments, convergence analysis.
result Existence of mean-field equilibrium in time-inconsistent MFG.

The paper analyzes investment and consumption strategies under uncertain market conditions.

problem Investment and consumption under drift and volatility uncertainties.
method Randomization approach to construct robust preferences and strategies.
result Developed optimal and robust investment and consumption strategies remain valid in the physical market.

Study risk sharing among agents with varying risk preferences.

problem Risk sharing among agents with heterogeneous risk measures.
method Derive explicit solutions for inf-convolution and counter-monotonic inf-convolution under varying risk seeking.
result Explicit solutions for inf-convolution and counter-monotonic inf-convolution can be represented by a generalization of distortion risk measures.

The study uses AI to optimize trading in FX markets by considering size-dependent fees and risk-aversion.

problem Optimizing trading in FX markets with size-dependent fees and risk-aversion.
method Fitted Natural Actor-Critic (FNC) Reinforcement Learning algorithm.
result The algorithm effectively trades with variable order sizes, reducing transaction costs and promoting risk-averse behavior.

The paper addresses human-like decision-making in multi-agent systems using bounded risk-sensitive Markov Games.

problem Modeling human-like decision-making in multi-agent systems with risk-seeking and loss-aversion behaviors.
method Forward policy design and inverse reward learning with iterative reasoning and cumulative prospect theory.
result The proposed algorithms demonstrate both risk-averse and risk-seeking behaviors in multi-agent systems.

Develops optimal uncertainty quantification for risk-averse decision makers.

problem Quantifying prediction uncertainty for risk-sensitive domains.
method Decision-theoretic foundations connecting uncertainty quantification with risk-averse decision-making.
result Risk-Averse Calibration (RAC) algorithm provides optimal prediction sets for risk-averse decision makers.

A model simulates how different types of traders react to macroeconomic news.

problem Understanding how various market participants respond to macroeconomic surprises.
method Developed a calibrated data generation process (DGP) with four trader archetypes and a Monte Carlo simulation.
result Higher information and lower risk-averse traders take larger positions and achieve higher average wealth.

Market impact game analyzed with stochastic parameters using FBSDEs.

problem Analyzing Nash equilibrium in a market impact game with stochastic parameters.
method Characterizes Nash equilibrium using fully coupled FBSDEs and provides conditions for their unique solution.
result Unique Nash equilibrium found and characterized in terms of FBSDEs.

Assuming that agents' preferences satisfy first-order stochastic dominance, we show how the Expected Utility paradigm can rationalize all optimal investment choices: the optimal investment strategy in any behavioral law-invariant (state-independent) setting corresponds to the optimum for an expected utility maximizer w…

2013-02-19abs ↗pdf ↗

Study optimal portfolios for many players in a market model with random coefficients.

problem Optimal portfolio selection for many players under relative performance criteria in a market model with random coefficients.
method Game theory and stochastic optimal control, focusing on CARA and CRRA risk preferences, and extending to continuum of players.
result Existence of forward Nash equilibrium and mean field equilibrium for the n-agent game and corresponding mean field stochastic optimal control problem.

Study analyzes prediction market convergence and pricing mechanisms.

problem Understanding and optimizing prediction market performance and price formation.
method Introduces a multivariate utility (MU) based mechanism to unify market-making schemes and establish convergence results.
result The limiting price converges to the geometric mean of agent beliefs in exponential utility-based markets and to a weighted power mean in risk-measure-based markets.

Study optimal investment decisions for diverse risk-tolerant agents.

problem Optimizing investment choices for agents with varying risk preferences.
method Characterizes optimal behavior using certainty equivalents and lognormal risks.
result Derives optimal decision menus under known and uncertain preference distributions.

Study incentive efficiency in monopoly insurance markets with hidden information.

problem Maximizing social welfare in a monopoly insurance market with hidden agent types.
method Maximizes social welfare function subject to incentive compatibility and individual rationality constraints.
result Optimal menus of contracts depend on the level of social welfare weight and agent risk attitudes.