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We present a simple dynamical model of stock index returns which is grounded on the ability of the Cyclically Adjusted Price Earning (CAPE) valuation ratio devised by Robert Shiller to predict long-horizon performances of the market. More…

General Finance · Quantitative Finance 2013-07-16 Natascia Angelini , Giacomo Bormetti , Stefano Marmi , Franco Nardini

We consider an optimal stochastic control problem in which a firm's cash/surplus process is controlled by dividend payments and capital injections. Stockholders aim to maximize their dividend stream minus the cost of injecting capital, if…

Optimization and Control · Mathematics 2023-11-20 Jean-François Renaud , Alexandre Roch , Clarence Simard

This study finds exact closed-form solutions for compensating variation (CV) and equivalent variation (EV) for both marginal and non-marginal changes in public goods given homothetic, but non-separable, utility where a single sufficient…

General Economics · Economics 2026-01-13 Daniel H. Karney , Khyati Malik

The most commonly accepted model for investors' preferences is expected utility theory. More recently, other theories have emerged and pose new challenges to mathematics. The present paper treats preferences of cumulative prospect theory…

Portfolio Management · Quantitative Finance 2016-08-07 Miklós Rásonyi , José Gregorio Rodríguez-Villarreal

Given the success and almost universal acceptance of the simple linear regression three-factor model, it is interesting to analyze the informational content of the three factors in explaining stock returns when the analysis is allowed to…

Statistical Finance · Quantitative Finance 2020-07-17 Vassilis Polimenis

This paper studies how household heterogeneity affects the level and cyclical behavior of the optimal carbon tax in a real economy. We demonstrate that an equity-efficiency trade-off arises due to income inequality and heterogeneity in the…

Theoretical Economics · Economics 2025-03-04 Cristiano Cantore , Giovanni Di Bartolomeo , Francesco Saverio Gaudio

With the growing use of distributed machine learning techniques, there is a growing need for data markets that allows agents to share data with each other. Nevertheless data has unique features that separates it from other commodities…

Theoretical Economics · Economics 2021-07-21 Mohammad Rasouli , Michael I. Jordan

The aim of this work is to establish the personal income distribution from the elementary constituents of a free market; products of a representative good and agents forming the economic network. The economy is treated as a self-organized…

General Finance · Quantitative Finance 2015-06-04 Joachim Kaldasch

We investigate an optimal investment problem with a general performance criterion which, in particular, includes discontinuous functions. Prices are modeled as diffusions and the market is incomplete. We find an explicit solution for the…

Probability · Mathematics 2008-12-02 Nikolai Dokuchaev , Ulrich Haussmann

In this paper we present a simplified model of a proportional taxation system where citizens decide whether to pay taxes or evade them. We initially derive a dynamic equation for the fraction of evaders and then present both its critical…

Physics and Society · Physics 2022-06-17 Alessio Emanuele Biondo , Giulio Burgio , Alessandro Pluchino , Damiano Puglisi

A composite source, consisting of multiple subsources and a memoryless switch, outputs one symbol at a time from the subsource selected by the switch. If some data should be encoded more accurately than other data from an information…

Information Theory · Computer Science 2024-11-14 Jiakun Liu , H. Vincent Poor , Iickho Song , Wenyi Zhang

This paper studies the dividend and capital injection problem under a diffusion risk model with general discount functions. A proportional cost is imposed when injecting capitals. For exponential discounting as time-consistent benchmark, we…

Mathematical Finance · Quantitative Finance 2025-05-30 Sang Hu , Zihan Zhou

In the so-called ``fair'' models of peer-to-peer wealth exchanges, economic inequality tends to reach its maximum value asymptotically. This global trend is evident as the richest continuously accumulate a larger share of wealth at the…

Physics and Society · Physics 2023-08-22 Thiago Dias , Sebastián Gonçalves

Industrial sectors such as urban centers, chemical companies, manufacturing facilities, and microgrids are actively exploring strategies to help reduce their carbon footprint. For instance, university campuses are complex urban districts…

Optimization and Control · Mathematics 2024-01-19 Blake Lopez , Jiaze Ma , Victor M. Zavala

This paper examines the short- and long-run effects of U.S. federal personal income and corporate income tax cuts on a wide array of economic policy variables in a data-rich environment. Using a panel of U.S. macroeconomic data set, made up…

General Economics · Economics 2021-06-22 Masud Alam

If AI displaces human workers faster than the economy can reabsorb them, it risks eroding the very consumer demand firms depend on. We show that knowing this is not enough for firms to stop it. In a competitive task-based model, demand…

Theoretical Economics · Economics 2026-03-24 Brett Hemenway Falk , Gerry Tsoukalas

Firm foundation theory estimates a security's firm fundamental value based on four determinants: expected growth rate, expected dividend payout, the market interest rate and the degree of risk. In contrast, other views of decision-making in…

Statistical Mechanics · Physics 2009-10-31 D. Sornette

The popular generalized second price (GSP) auction for sponsored search is built upon a separable model of click-through-rates that decomposes the likelihood of a click into the product of a "slot effect" and an "advertiser effect" --- if…

Computer Science and Game Theory · Computer Science 2014-10-14 Ruggiero Cavallo , Christopher A. Wilkens

This paper proposes a model of tax compliance and fiscal capacity grounded in universalization reasoning. Citizens partially internalize the consequences of concealment by imagining a world in which everyone acted similarly, linking their…

General Economics · Economics 2026-04-23 Esteban Muñoz-Sobrado

Carry Value Transformation (CVT) is a model of discrete dynamical system which is one special case of Integral Value Transformations (IVTs). Earlier in [5] it has been proved that sum of two non-negative integers is equal to the sum of…

Other Computer Science · Computer Science 2016-01-19 Jayanta Kumar Das , Pabitra Pal Choudhury , Sudhakar Sahoo