A game theoretic approach to the theory of money and financial institution is given utilizing both the strategic and coalitional forms for describing the economy. The economy is first modeled as a strategic market game, then the strategic form is used to calculate several cooperative forms that differ from each other in their utilization of money and credit and their treatment of threats. It is shown that there are natural upper and lower bounds to the monetary needs of an economy, but even in the extreme structures the concept of “enough money” can be defined usefully, and for large economies the games obtained from the lower and upper bounds have cores that approach the same limit that is an efficient price system. The role of disequilibrium is then discussed.
A game theoretic approach to the theory of money and financial institution is given utilizing both the strategic and coalitional forms for describing the economy. The economy is first modeled as a strategic market game, then the strategic form is used to calculate several cooperative forms that differ from each other in their utilization of money and credit and their treatment of threats. It is shown that there are natural upper and lower bounds to the monetary needs of an economy, but even in the extreme structures the concept of “enough money” can be defined usefully, and for large economies the games obtained from the lower and upper bounds have cores that approach the same limit that is an efficient price system. The role of disequilibrium is then discussed.
JEL Classification: C71, C72, D53, E40
Keywords: Money, Prices, Core, Threat, Market game, Strategic market game
The enlargement of the general-equilibrium structure to allow default subject to penalties to appririate credit limits and default penalties results in a construction of a simple mechanism for a credit using society. We show that there generically exists a price-normalizing bundle that determines a credit money along with appropriate credit limmits and default penalties for a credit mechanism to select a unique competitive equilibrium (CE). With some additional conditions, a common credit money can be applied such that any CE can be a unique selection by the credit mechanism with appropriate credit limits default penalties for the traders. This will include a CE with the minimal cash flow penalty. Such CEs are special for the reason that we minimize the need for a substitute-for-trust (i.e. money) in trade.
(with M. J. Whitman) This no-holds-barred presentation of one of the most successful investment strategies of all time — value investing in distressed securities/companie — shows you how to analyze and evaluate stocks just like controlling owners. Based on the assumption that stock price rarely reflects real value, authors Whitman and Shubik use numerous case studies to present risk-minimizing methods that also provide high rewards. Still relevant today, this classic work includes a new introduction discussing the dramatic changes that have taken place in the value investing world since its first publication in 1979.
“The Aggressive Conservative Investor will never go out of date. Regulation, disclosure, and other things may change, but the general approach and mindset to successful investing are timeless. Read this book and you will learn the rudiments of ‘safe and cheap’ investing. An essential read for every amateur and professional investor.” — Stan Garstka, Deputy Dean & Professor in the Practice of Faculty & Management, Yale School of Management
“Security analysis toward both better odds and higher long-term payoff: A readable, authoritative guide.” — Professor Bill Baumol, New York University
“In reading this book, one is struck by the simplicity of the ideas and the dependence of the investor on his own understandings of reality as opposed to the myths on the street. The updated version of this 1979 classic incorporates all the modern financial engineering that has occurred as a product of the late 20th century, and the new methodologies refine your abilities to measure risk but don’t change the fundamentals of value. The updated version of The Aggressive Conservative Investor is very much a value-added proposition.” — Sam Zell, Chairman, Equity Group Investment LLC
“I concur with those people who regard Marty Whitman as the ‘Dean of Value Investing.’ This book is a must-read for everyone interested in understanding the art of investing.” — Melvin T. Stith, Dean, Whitman School of Management, Syracuse University
We review an emerging body of work by physicists addressing questions of economic organization and function. We suggest that, beyond simply employing models familiar from physics to economic observables, remarkable regularities in economic data may suggest parts of social order that can usefully be incorporated into, and in turn can broaden, the conceptual structure of physics.
In previous work, the current authors derived a mathematical expression for the optimal (or “saturation”) number of reinsurers for a given number of primary insurers (see Powers and Shubik, 2001). In the current paper, we show analytically that, for large numbers of primary insurers, this mathematical expression provides a “square-root rule”; i.e., the optimal number of reinsurers in a market is given asymptotically by the square root of the total number of primary insurers. We note further that an analogous “fourth-root rule” applies to markets for retrocession (the reinsurance of reinsurance).
The competitive market structure of a decentralized economy is converted into a self-policing system treating the bureaucracy and enforcement of the legal system endogenously. In particular we consider money systems as constructs to make agents’ economic strategies predictable from knowledge of their preferences and endowments, and thus to support coordinated resource production and distribution from independent decision making. Diverse rule systems can accomplish this, and we construct minimal strategic market games representing government-issued fiat money and ideal commodity money as two cases. We endogenize the provision of money and rules for its use as productive activities within the society, and consider the problem of transition from generalist to specialist production of subsistence goods as one requiring economic coordination under the support of a money system to be solved. The scarce resource in a society is labor limited by its ability to coordinate (specifically, calling for the expenditure of time and effort on communication, computation, and control), which must be diverted from primary production either to maintain coordinated group activity, or to provide the institutional services supporting decentralized trade. Social optima are solutions in which the reduced costs of individual decision making against rules (relative to maintenance of coalitions) are larger than the costs of the institutions providing the rules, and in which the costs of the institutions are less than the gains from the trade they enable to take place.
In a previous essay we modeled the enforcement of contract, and through it the provision of money and markets, as a production function within the society, the scale of which is optimized endogenously by labor allocation away from primary production of goods. Government and a central bank provided fiat money and enforced repayment of loans, giving fiat a predictable value in trade, and also rationalizing the allocation of labor to government service, in return for a fiat salary. Here, for comparison, we consider the same trade problem without government or fiat money, using instead a durable good (gold) as a commodity money between the time it is produced and the time it is removed by manufacture to yield utilitarian services. We compare the monetary value of the two money systems themselves, by introducing a natural money-metric social welfare function. Because labor allocation both to production and potentially to government of the economy is endogenous, the only constraint in the society is its population, so that the natural money-metric is labor. Money systems, whether fiat or commodity, are valued in units of the labor that would produce an equivalent utility gain among competitive equilibria, if it were added to the primary production capacity of the society.
The competitive market structure of a decentralized economy is converted into a self-policing system treating the bureaucracy and enforcement of the legal system endogenously. In particular we consider money systems as constructs to make agents’ economic strategies predictable from knowledge of their preferences and endowments, and thus to support coordinated resource production and distribution from independent decision making. Diverse rule systems can accomplish this, and we construct minimal strategic market games representing government-issued fiat money and ideal commodity money as two cases. We endogenize the provision of money and rules for its use as productive activities within the society, and consider the problem of transition from generalist to specialist production of subsistence goods as one requiring economic coordination under the support of a money system to be solved. The scarce resource in a society is labor limited by its ability to coordinate (specifically, calling for the expenditure of time and effort on communication, computation, and control), which must be diverted from primary production either to maintain coordinated group activity, or to provide the institutional services supporting decentralized trade. Social optima are solutions in which the reduced costs of individual decision making against rules (relative to maintenance of coalitions) are larger than the costs of the institutions providing the rules, and in which the costs of the institutions are less than the gains from the trade they enable to take place.