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To implement the previously formulated principles of sustainable economic development, all non-negative solutions of the linear system of equations and inequalities, which are satisfied by the vector of real consumption, are completely…

General Economics · Economics 2024-05-17 N. S. Gonchar

A complete description of taxation systems that ensure sustainable economic development is given. These tax systems depend on production technologies and gross output volumes. Explicit formulas for such dependencies are found. In a…

Mathematical Finance · Quantitative Finance 2024-10-02 N. S. Gonchar

We construct a stochastic dynamical systems theory in which sustainability is a structural boundary property of a fully coupled Earth--Human--Production system. Each subsystem is modelled as a vector-valued process governed by stochastic…

Theoretical Economics · Economics 2026-03-02 Claudio Pirrone , Stefano Fricano , Gioacchino Fazio

Functions or 'functionings' enable to give a structure to any activity and their combinations constitute the capabilities which characterize economic assets such as work utility. The basic law of supply and demand naturally emerges from…

General Economics · Economics 2020-07-29 Emmanuel Chauvet

Classical conditions for ensuring the robust stability of a linear system in feedback with a sector-bounded nonlinearity include small gain, circle, passivity, and conicity theorems. In this work, we present a similar stability condition,…

Optimization and Control · Mathematics 2019-09-18 Saman Cyrus , Laurent Lessard

This paper develops a theory of competitive equilibrium with indivisible goods based entirely on economic conditions on demand. The key idea is to analyze complementarity and substitutability between bundles of goods, rather than merely…

Theoretical Economics · Economics 2024-12-12 Ravi Jagadeesan , Alexander Teytelboym

This paper develops a new model of business cycles. The model is economical in that it is solved with an aggregate demand-aggregate supply diagram, and the effects of shocks and policies are obtained by comparative statics. The model builds…

Theoretical Economics · Economics 2022-03-22 Pascal Michaillat , Emmanuel Saez

This paper proposes a change in perspective on the ``transformation of values'' problem: from ``searching for a single constant solution'' to ``characterizing the allocation space under objective constraints imposed by the physical…

Theoretical Economics · Economics 2026-03-12 Jiyuan Lyu

We propose a term structure power price model that, in contrast to widely accepted no-arbitrage based approaches, accounts for the non-storable nature of power. It belongs to a class of equilibrium game theoretic models with players divided…

Optimization and Control · Mathematics 2014-08-12 Miha Troha , Raphael Hauser

Indeed, the global production (as a system of creating values) is eventually forming like a gigantic and complex network/web of value chains that explains the transitional structures of global trade and development of the global economy.…

General Economics · Economics 2021-03-03 Sourish Dutta

This paper establishes the existence of equilibrium in an economy with production and a continuum of consumers, each of whose incomplete and price-dependent preferences are defined on commodities they may consider deleterious, bads which…

Theoretical Economics · Economics 2025-11-04 Robert M. Anderson , Haosui Duanmu , M. Ali Khan , Metin Uyanik

We show that, with indivisible goods, the existence of competitive equilibrium fundamentally depends on agents' substitution effects, not their income effects. Our Equilibrium Existence Duality allows us to transport results on the…

Theoretical Economics · Economics 2020-07-01 Elizabeth Baldwin , Omer Edhan , Ravi Jagadeesan , Paul Klemperer , Alexander Teytelboym

We extend the stochastic production planning framework to manufacturing systems, where the set of admissible production configurations is described by a general smooth convex domain $\omega $. In our setting, production operations continue…

Optimization and Control · Mathematics 2025-05-30 Dragos-Patru Covei

The stability analysis of socioeconomic systems has been centered on answering whether small perturbations when a system is in a given quantitative state will push the system permanently to a different quantitative state. However, typically…

Physics and Society · Physics 2014-09-01 Serguei Saavedra , Rudolf P. Rohr , Luis J. Gilarranz , Jordi Bascompte

We study the situation of an agent who can trade on a financial market and can also transform some assets into others by means of a production system, in order to price and hedge derivatives on produced goods. This framework is motivated by…

Pricing of Securities · Quantitative Finance 2012-03-02 Adrien Nguyen Huu

We provide simple models for the utility function (or psychology) of an actor trading a multitude of goods for money. In this framework, money has no intrinsic consumption value, but is required as a medium of exchange. A collection of such…

Physics and Society · Physics 2026-05-25 Robert S. Farr

Persistent economic competition is often justified as a mechanism of innovation, efficiency, and welfare maximization. Yet empirical evidence across disciplines reveals that competition systematically generates fragility, inequality, and…

Theoretical Economics · Economics 2025-06-16 Marcelo S. Tedesco , Gonzalo Marquez

We study the disequilibrium dynamics of a stylised model of production networks in which firms use perishable and non-substitutable intermediate inputs, so that adverse idiosyncratic productivity shocks can trigger downstream shortages and…

Physics and Society · Physics 2026-02-02 David Martin , José Moran , Debabrata Panja , Jean-Philippe Bouchaud

In this extended abstract, we propose Structured Production Systems (SPS), which extend traditional production systems with well-formed syntactic structures. Due to the richness of structures, structured production systems significantly…

Artificial Intelligence · Computer Science 2017-04-27 Yi Zhou

We propose here to look at how abstract a model of a usable system can be, but still say something useful and interesting, so this paper is an exercise in abstraction and formalisation, with usability-of-design as an example target use. We…

Human-Computer Interaction · Computer Science 2024-03-14 Steve Reeves
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