Abstract
Consider agents who just use markets and money to mediate trade and express economic interests. Suppose bid-ask spreads – derived from generalized differentials – drive and incite transactions. On that basis, this paper indicates good prospects for convergence towards competitive equilibrium. Presuming private property, main arguments hinge on three hooks: First, Fenchel conjugation to record profits or values added; second, aggregate convexity to support Pareto efficiency by prices; and third, absence of externalities to make total additions of value dwindle step by step.
References
- R. J. Aumann: Existence of competitive equilibrium in markets with a continuum of traders, Econometrica 34 (1966) 1–17.https://doi.org/10.2307/1909854Google Scholar
- M. S. Bazaraa, H. D. Sherali, C. M. Shetty: Nonlinear Programming: Theory and Algorithms, 3rd ed., Wiley-Interscience, New York (2016).Google Scholar
- J. Buchan: Frozen Desire, Farrar Straus Giroux, New York (1997).Google Scholar
- G. Debreu: Valuation equilibrium and Pareto optimum, Proc. Nat. Acad. Sciences 40 (1954) 588–592.https://doi.org/10.1073/pnas.40.7.588Google Scholar
- G. Debreu: Theory of Value, J. Wiley & Sons, New York (1959).Google Scholar
- A. M. Feldman: Bilateral trading processes, pairwise optimality, and Pareto optimality, Rev. Econ. Studies 40/4 (1972) 463–473.https://doi.org/10.2307/2296581Google Scholar
- N. Ferguson: The Ascent of Money, Penguin Books, London (2008).Google Scholar
- S. D. Flåm: Emergence of price-taking behavior, Econ. Theory 70 (2019) 847–870.https://doi.org/10.1007/s00199-019-01232-5Google Scholar
- S. D. Flåm: Towards competitive equilibrium by double auctions, Pure Appl. Funct. Analysis 6 (2021) 1211–1225.Google Scholar
- S. D. Flåm: Market equilibria and money, Fixed Point Theory Alg. Sci. Eng. (2021), art. no. 20, 18 p.https://doi.org/10.1186/s13663-021-00705-4Google Scholar
- A. Jofre, R. T. Rockafellar, R. J.-B. Wets: General economic equilibrium with financial markets and retainability, Econ. Theory 63 (2017) 309–345.https://doi.org/10.1007/s00199-016-1031-yGoogle Scholar
- D. G. Luenberger: Microeconomic Theory, McGraw-Hill, New York (1995).Google Scholar
- D. G. Luenberger: Investment Science, Oxford University Press, New York (1998).Google Scholar
- S. R. Pliska: Introduction to Mathematical Finance, Blackwell, Oxford (1997).Google Scholar
- J. Robinson: Economic Philosophy, Penguin Books, London (1964).Google Scholar
- A. Rubinstein: Lecture Notes in Microeconomic Theory, Princeton University Press, Princeton (2006).Google Scholar
- B. Salanié: Microéconomie. Les Défaillances du Marché, Economica, Paris (1998).Google Scholar
Suggested citation
Published by Heldermann Verlag, 2023. Rights now held by Banach Press LLC.
