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,…
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This paper considers a statistical signal processing problem involving agent based models of financial markets which at a micro-level are driven by socially aware and risk- averse trading agents. These agents trade (buy or sell) stocks by exploiting information about the decisions of previous agents (social learning) v…
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…
The paper studies risk-sharing allocations for risk-seeking agents using a common distortion risk measure.
Optimal risk sharing found for heterogeneous risk attitudes using distortion risk measures.
New algorithm reduces risk in online games with limited feedback.
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…
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…
Risk-averse reinforcement learning optimizes option hedging.
Optimal liquidation strategy for a risk-averse investor in a one-sided limit order book driven by a Levy process.
Study on efficiency in economies with risk-averse agents, finding Pareto optima.
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…
A monopolist sells goods with possibly a characteristic consumers dislike (for instance, he sells random goods to risk averse agents), which does not affect the production costs. We investigate the question whether using undesirable goods is profitable to the seller. We prove that in general this may be the case, depen…
While the investors' responses to price changes and their price forecasts are well accepted major factors contributing to large price fluctuations in financial markets, our study shows that investors' heterogeneous and dynamic risk aversion (DRA) preferences may play a more critical role in the dynamics of asset price …
We consider a continuous time Principal-Agent model on a finite time horizon, where we look for the existence of an optimal contract both parties agreed on. Contrary to the main stream, where the principal is modelled as risk-neutral, we assume that both the principal and the agent have exponential utility, and are ris…
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…
Study shows risk-averse investors have consistent ranking of risky assets.
The paper addresses how to complete incomplete risk markets by iteratively enhancing welfare.
Investment and consumption strategy for risk-averse agents with Epstein-Zin utility.
TRIBE model uses LLMs to simulate human trading behavior in bond markets.
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…
In the paper we give necessary and sufficient conditions for the Jensen inequality to hold for the generalized Choquet integral with respect to a pair of capacities. Next, we apply obtained result to the theory of risk aversion by providing the assumptions on utility function and capacities under which an agent is risk…
Different models to study the wealth distribution in an artificial society have considered a transactional dynamics as the driving force. Those models include a risk aversion factor, but also a finite probability of favoring the poorer agent in a transaction. Here we study the case where the partners in the transaction…
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…
The study shows how probability weighting can lead to betting in a risk-averse economy.
Forward hedging reshapes incentive provision in firms.
A risk-averse agent hedges her exposure to a non-tradable risk factor using a correlated traded asset and accounts for the impact of her trades on both factors. The effect of the agent's trades on is referred to as cross-impact. By solving the agent's stochastic control problem, we obtain a closed-form expr…
We consider a market impact game for risk-averse agents that are competing in a market model with linear transient price impact and additional transaction costs. For both finite and infinite time horizons, the agents aim to minimize a mean-variance functional of their costs or to maximize the expected exponential u…
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…
The paper analyzes optimal dealer strategies in agent-based market models.
New MFG model for MV portfolio management with peer-based risk aversion.
The paper analyzes investment and consumption strategies under uncertain market conditions.
Study risk sharing among agents with varying risk preferences.
The study uses AI to optimize trading in FX markets by considering size-dependent fees and risk-aversion.
The paper addresses human-like decision-making in multi-agent systems using bounded risk-sensitive Markov Games.
In an incomplete semimartingale model of a financial market, we consider several risk-averse financial agents who negotiate the price of a bundle of contingent claims. Assuming that the agents' risk preferences are modelled by convex capital requirements, we define and analyze their demand functions and propose a notio…
Develops optimal uncertainty quantification for risk-averse decision makers.
This paper characterizes the equilibrium in a continuous time financial market populated by heterogeneous agents who differ in their rate of relative risk aversion and face convex portfolio constraints. The model is studied in an application to margin constraints and found to match real world observations about financi…
A model simulates how different types of traders react to macroeconomic news.
Market impact game analyzed with stochastic parameters using FBSDEs.
CARL safely adapts RL agents for safety-critical tasks.
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…
Study optimal portfolios for many players in a market model with random coefficients.
Study analyzes prediction market convergence and pricing mechanisms.
Study optimal investment decisions for diverse risk-tolerant agents.
Derives explicit investment strategy with random endowment.
We consider the problem of belief aggregation: given a group of individual agents with probabilistic beliefs over a set of uncertain events, formulate a sensible consensus or aggregate probability distribution over these events. Researchers have proposed many aggregation methods, although on the question of which is be…
Study incentive efficiency in monopoly insurance markets with hidden information.