Two-Person Dynamic Equilibrium


Book Description

When several investors with different risk aversions trade competitively in a capital market, the allocation of wealth fluctuates randomly between them and acts as a state variable against which each market participant will want to hedge. This hedging motive complicates the investors' portfolio choice and the equilibrium in the capital market. Although every financial economist is aware of this difficulty, to our knowledge, this issue has never been analyzed in detail. The current paper features two investors, with the same degree of impatience, one of them being logarithmic and the other having an isoelastic utility function. They face one risky constant-return-to-scale stationary production opportunity and they can borrow and lend to and from each other. The behavior of the allocation of wealth is characterized, along with the behavior of the rate of interest and that of the security market line. The two main results are: (1) investors in equilibrium do revise their portfolios over time so that some trading takes place, (2) provided some conditions are satisfied, the allocation of wealth admits a steady-state distribution at an interior point; this is in contrast to the certainty case, where one investor in the long run holds all the wealth. The existence of trading opens the way to a theory of capital flows and market trading volume




Quantified Representation of Uncertainty and Imprecision


Book Description

We are happy to present the first volume of the Handbook of Defeasible Reasoning and Uncertainty Management Systems. Uncertainty pervades the real world and must therefore be addressed by every system that attempts to represent reality. The representation of uncertainty is a ma jor concern of philosophers, logicians, artificial intelligence researchers and com puter sciencists, psychologists, statisticians, economists and engineers. The present Handbook volumes provide frontline coverage of this area. This Handbook was produced in the style of previous handbook series like the Handbook of Philosoph ical Logic, the Handbook of Logic in Computer Science, the Handbook of Logic in Artificial Intelligence and Logic Programming, and can be seen as a companion to them in covering the wide applications of logic and reasoning. We hope it will answer the needs for adequate representations of uncertainty. This Handbook series grew out of the ESPRIT Basic Research Project DRUMS II, where the acronym is made out of the Handbook series title. This project was financially supported by the European Union and regroups 20 major European research teams working in the general domain of uncertainty. As a fringe benefit of the DRUMS project, the research community was able to create this Hand book series, relying on the DRUMS participants as the core of the authors for the Handbook together with external international experts.







Social Dynamics


Book Description

Brian Skyrms presents eighteen essays which apply adaptive dynamics (of cultural evolution and individual learning) to social theory. Altruism, spite, fairness, trust, division of labor, and signaling are treated from this perspective. Correlation is seen to be of fundamental importance. Interactions with neighbors in space, on static networks, and on co-evolving dynamics networks are investigated. Spontaneous emergence of social structure and of signaling systems are examined in the context of learning dynamics.




Resolving Conflicts with Mathematica


Book Description

CD contains Mathematica notebooks, programs and exercises (with solutions) for each chapter.




Dynamic Noncooperative Game Theory


Book Description

An overview of the analysis of dynamic/differential zero-sum and nonzero-sum games and the role of different information patterns.




Advances in Economics and Econometrics


Book Description

The first volume of edited papers from the Tenth World Congress of the Econometric Society 2010.




Advances in Economics and Econometrics: Volume 1, Economic Theory


Book Description

This is the first of three volumes containing edited versions of papers and commentaries presented at invited symposium sessions of the Tenth World Congress of the Econometric Society, held in Shanghai in August 2010. The papers summarize and interpret key developments in economics and econometrics and they discuss future directions for a wide variety of topics, covering both theory and application. Written by the leading specialists in their fields, these volumes provide a unique, accessible survey of progress on the discipline. The first volume primarily addresses economic theory, with specific focuses on nonstandard markets, contracts, decision theory, communication and organizations, epistemics and calibration, and patents.




Readings in Formal Epistemology


Book Description

This volume presents 38 classic texts in formal epistemology, and strengthens the ties between research into this area of philosophy and its neighbouring intellectual disciplines. The editors provide introductions to five subsections: Bayesian Epistemology, Belief Change, Decision Theory, Interactive Epistemology and Epistemic Logic. 'Formal epistemology' is a term coined in the late 1990s for a new constellation of interests in philosophy, the origins of which are found in earlier works of epistemologists, philosophers of science and logicians. It addresses a growing agenda of problems concerning knowledge, belief, certainty, rationality, deliberation, decision, strategy, action and agent interaction – and it does so using methods from logic, probability, computability, decision and game theory. The volume also includes a thorough index and suggestions for further reading, and thus offers a complete teaching and research package for students as well as research scholars of formal epistemology, philosophy, logic, computer science, theoretical economics and cognitive psychology.