A strategic market game with seigniorage costs of Fiat money

Summary. A model that includes the cost of producing money is presented and the nature of the inefficient equilibria in the model are examined. It is suggested that if one acknowledges that transactions are a form of production, which requires the consumption of resources, then the concept of Pareto optimality is inappropriate for assessing efficiency. Instead it becomes necessary to provide an appropriate comparative analysis of alternative transactions mechanisms in the appropriate context. Received: September 5, 2000; revised version: May 3, 2001     

Strategic freedom, constraint, and symmetry in one-period markets with cash and credit payment

Summary. In order to explain in a systematic way why certain combinations of market, financial, and legal structures may be intrinsic to certain capabilities to exchange real goods, we introduce criteria for abstracting the qualitative functions of markets. The criteria involve the number of strategic freedoms the combined institutions, considered as formalized strategic games, present to traders, the constraints they impose, and the symmetry with which those constraints are applied to the traders. We pay particular attention to what is required to make these strategic market games well-defined, and to make various solutions computable by the agents within the bounds on information and control they are assumed to have. As an application of these criteria, we present a complete taxonomy of the minimal one-period exchange economies with symmetric information and inside money. A natural hierarchy of market forms is observed to emerge, in which institutionally simpler markets are often found to be more suitable to fewer and less-diversified traders, while the institutionally richer markets only become functional as the size and diversity of their users gets large.Received: 5 June 2003, Revised: 18 November 2003, JEL Classification Numbers: C7, G10, G20, L10, D40, D50. Correspondence to: Eric SmithEric Smith, Martin Shubik: We are grateful to Lloyd Shapley, Duncan Foley, and Doyne Farmer for discussions in the course of this work.     

Gold,liquidity and secured loans in a multistage economy

A multistage economy with durables with finite and with unbounded lives is considered. The importance of the existence of both asset and rental markets is considered. It is shown that without rental markets efficiency may not be achieved and a stationary state that might exist with rental markets need not exist. The meaning of the existence of a 100% backed loan is considered. The roles of gold and land as stores of value and money are considered.Research supported in part by ONR Grant N00014-86-K-0220 and by NSF Grant No. SES-8812051.     

Structure,Clearinghouses and Symmetry

We introduce and justify a taxonomy for the structure of markets and minimal institutions which appear in constructing minimally complex trading structures to perform the functions of price formation, settlement and payments. Each structure is presented as a playable strategic market game and is examined for its efficiency, the number of degrees of freedom and the symmetry properties of the structure     

Gold,liquidity and secured loans in a multistage economy Part I: Gold as money

This work relates to Department of the Navy Contract N00014-86-K0220 issued by the Office of Naval Research under Contract Authority NR 047-006. However, the content does not necessarily reflect the position or the policy of the Department of the Navy or the Government, and no official endorsement should be inferred. Revised with support of NSF contract SES-8812051.The United States Government has at least a royalty-free, non-exclusive and irrevocable license throughout the world for Government purposes to publish, translate, reproduce, deliver, perform, dispose of, and to authorize others so to do, all or any portion of this work.     

A note on enough money in a strategic market game with complete or fewer markets

Upper and lower bounds for the amount of money required to achieve efficient trade in a strategic market game are considered. The possibility of the efficient use of any commodity as a money is examined.     

A Stochastic Overlapping Generations Economy with Inheritance

An overlapping generations model of an exchange economy with two sources of uncertainty is considered. Individuals have a finite expected life span and uncertain annual income. Conditions concerning birth, death, inheritance and bequests are fully specified. Under such conditions, the existence of a stationary Markovian equilibrium is established in some generality, and several explicitly solvable examples are examined in detail. Received August 6, 2001; revised version received March 12, 2002 Published online: November 11, 2002     

Bankruptcy and optimality in a closed trading mass economy modelled as a non-cooperative game

In this paper we establish the existence of (a) an optimal bankruptcy rule which enables us to describe the Walrasian trading economy as a game with trade in fiat money; and (b) non- cooperative equilibrium points of this game which (in terms of prices and the final allocation yielded) include the competitive equilibrium points, and the accompanying money rate of interest (induced by borrowing at a central bank), when the bankruptcy rule is different from optimal.