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We embed buying rights into a (repeated) Arrow-Debreu model to study the long-term effects of regulation through buying rights on arising inequality. Our motivation stems from situations that typically call for regulatory interventions,…

Computer Science and Game Theory · Computer Science 2025-11-03 Martin Loebl , Anetta Jedličková , Jakub Černý

We prove that the problem of computing an Arrow-Debreu market equilibrium is PPAD-complete even when all traders use additively separable, piecewise-linear and concave utility functions. In fact, our proof shows that this market-equilibrium…

Computational Complexity · Computer Science 2009-04-07 Xi Chen , Decheng Dai , Ye Du , Shang-Hua Teng

We study a dynamic random utility model that allows for consumption dependence. We axiomatically analyze this model and find insights that allow us to distinguish between behavior that arises due to consumption dependence and behavior that…

Theoretical Economics · Economics 2025-02-20 Christopher Turansick

This paper studies the infinite-horizon optimal consumption with a path-dependent reference under exponential utility. The performance is measured by the difference between the nonnegative consumption rate and a fraction of the historical…

Mathematical Finance · Quantitative Finance 2022-03-23 Shuoqing Deng , Xun Li , Huyen Pham , Xiang Yu

We investigate optimal consumption and investment problems for a Black-Scholes market under uniform restrictions on Value-at-Risk and Expected Shortfall. We formulate various utility maximization problems, which can be solved explicitly. We…

Portfolio Management · Quantitative Finance 2010-02-15 Claudia Kluppelberg , Serguei Pergamenchtchikov

The equity risk premium puzzle is that the return on equities has far exceeded the average return on short-term risk-free debt and cannot be explained by conventional representative-agent consumption based equilibrium models. We review a…

General Finance · Quantitative Finance 2019-09-18 Ravi Kashyap

This paper studies the problem of maximizing expected utility from terminal wealth in a semi-static market composed of derivative securities, which we assume can be traded only at time zero, and of stocks, which can be traded continuously…

Portfolio Management · Quantitative Finance 2013-10-09 Pietro Siorpaes

This article studies the problem of utility maximization in an incomplete market under a class of nonlinear expectations and general constraints on trading strategies. Using a $g$-martingale method, we provide an explicit solution to our…

Mathematical Finance · Quantitative Finance 2025-01-30 Wahid Faidi

In this paper, inspired by the work of Megiddo on the formation of preferences and strategic analysis, we consider an early market model studied in the field of economic theory, in which each trader's utility may be influenced by the…

Computer Science and Game Theory · Computer Science 2010-09-03 Xi Chen , Shang-Hua Teng

We formulate conditions for the solvability of the problem of robust utility maximization from final wealth in continuous time financial markets, without assuming weak compactness of the densities of the uncertainty set, as customary in the…

Optimization and Control · Mathematics 2015-07-14 Julio Backhoff , Joaquín Fontbona

This paper investigates a time-inconsistent portfolio selection problem in the incomplete mar ket model, integrating expected utility maximization with risk control. The objective functional balances the expected utility and variance on log…

Portfolio Management · Quantitative Finance 2025-12-02 Yue Cao , Zongxia Liang , Sheng Wang , Xiang Yu

In this paper, we study expected utility maximization under ratchet and drawdown constraints on consumption in a general incomplete semimartingale market using duality methods. The optimization is considered with respect to two parameters:…

Optimization and Control · Mathematics 2022-07-19 Anastasiya Tanana

In electricity markets, customers are increasingly constrained by their budgets. A budget constraint for a user is an upper bound on the price multiplied by the quantity. However, since prices are determined by the market equilibrium, the…

Computer Science and Game Theory · Computer Science 2026-03-24 Lila Perkins , Baosen Zhang

We study the sensitivity of the expected utility maximization problem in a continuous semi-martingale market with respect to small changes in the market price of risk. Assuming that the preferences of a rational economic agent are modeled…

Portfolio Management · Quantitative Finance 2017-05-24 Oleksii Mostovyi , Mihai Sîrbu

This paper investigates an infinite horizon, discounted, consumption-portfolio problem in a market with one bond, one liquid risky asset, and one illiquid risky asset with proportional transaction costs. We consider an agent with liquidity…

Portfolio Management · Quantitative Finance 2025-03-05 Guohui Guan , Jiaqi Hu , Zongxia Liang

We study a pure-exchange incomplete-market economy with heterogeneous agents. In each period, the agents choose how much to save (i.e., invest in a risk-free bond), how much to consume, and which bundle of goods to consume while their…

Theoretical Economics · Economics 2021-03-23 Bar Light

We implement nonparametric revealed-preference tests of subjective expected utility theory and its generalizations. We find that a majority of subjects' choices are consistent with the maximization of some utility function. They respond to…

General Economics · Economics 2021-05-04 Federico Echenique , Taisuke Imai , Kota Saito

We study a continuous-time expected utility maximization problem in which the investor at maturity receives the value of a contingent claim in addition to the investment payoff from the financial market. The investor knows nothing about the…

Mathematical Finance · Quantitative Finance 2023-07-17 Yunhong Li , Zuo Quan Xu , Xun Yu Zhou

For a stochastic factor model we maximize the long-term growth rate of robust expected power utility with parameter $\lambda\in(0,1)$. Using duality methods the problem is reformulated as an infinite time horizon, risk-sensitive control…

Probability · Mathematics 2012-03-07 Thomas Knispel

We introduce the notion of non-monotone utilities, which covers a wide variety of utility functions in economic theory. We then prove that it is PPAD-hard to compute an approximate Arrow-Debreu market equilibrium in markets with linear and…

Computational Complexity · Computer Science 2012-11-22 Xi Chen , Dimitris Paparas , Mihalis Yannakakis