Skip to main content

Prerequisites

  • Chapter
  • First Online:
Book cover Financial Markets Theory

Part of the book series: Springer Finance ((SFTEXT))

  • 3982 Accesses

Abstract

This chapter briefly reviews the fundamentals of decision making in a certain environment. Starting from a discussion of preference relations, the agent’s utility maximization problem is introduced and the concepts of general equilibrium, Pareto optimality and aggregation are explained.

All theory depends on assumptions which are not quite true. That is what makes it theory. The art of successful theorizing is to make the inevitable simplifying assumptions in such a way that the final results are not very sensitive. A “crucial” assumption is one on which the conclusions do depend sensitively, and it is important that crucial assumptions be reasonably realistic. When the results of a theory seem to flow specifically from a special crucial assumption, then if the assumption is dubious, the results are suspect. Solow (1956)

Once it has achieved the status of paradigm, a scientific theory is declared invalid only if an alternative candidate is available to take its place. No process yet disclosed by the historical study of scientific development at all resembles the methodological stereotype of falsification by direct comparison with nature. […] The act of judgement that leads scientists to reject a previously accepted theory is always based upon more than a comparison of that theory with the world. The decision to reject one paradigm is always simultaneously the decision to accept another, and the judgement leading to that decision involves the comparison of both paradigms with nature and with each other. Kuhn (1970)

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 49.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 59.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Notes

  1. 1.

    The set \(\mathbb{R}_{+}^{L}\) denotes the set of non-negative vectors and \(\mathbb{R}_{++}^{L}\) the set of strictly positive vectors with L elements.

  2. 2.

    Given two vectors \(x,y \in \mathbb{R}^{L},\) the inequality xy means that \(x_{n} \geq y_{n}\ (\forall \,n = 1,\ldots,L)\), while x > y means that \(x_{n} \geq y_{n}\ (\forall \,n = 1,\ldots,L)\) with xy, and x > > y means that \(x_{n} > y_{n}\ (\forall \,n = 1,\ldots,L)\).

  3. 3.

    Given a function \(f: \mathbb{R}^{N} \rightarrow \mathbb{R}\) of N real variables, the partial derivative with respect to the variable x i will be denoted by \(f_{x_{i}}\), while the partial derivative evaluated in \(x \in \mathbb{R}^{N}\) will be denoted by \(f_{x_{i}}(x)\).

References

  1. Arrow, K. (1968) Economic equilibrium. International Encyclopedia of the Social Sciences. Crowell Collier & Macmillan, New York.

    Google Scholar 

  2. Hahn, F. (1973) On the Notion of Equilibrium in Economics. Cambridge University Press.

    Google Scholar 

  3. Ingrao, B. and Israel, G. (1987) La Mano Invisibile. Laterza, Roma.

    Google Scholar 

  4. Kuhn, (1970) The Structure of Scientific Revolutions. University of Chicago Press.

    Google Scholar 

  5. Mas-Colell, A., Whinston, M. and Green, J. (1995) Microeconomic Theory. Oxford University Press.

    Google Scholar 

  6. Solow, R. (1956) A contribution to the theory of economic growth. Quarterly Journal of Economics, 70:65–94.

    Article  Google Scholar 

  7. Varian, H. (1984) Microeconomic Analysis. Norton, New York.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer-Verlag London Ltd.

About this chapter

Cite this chapter

Barucci, E., Fontana, C. (2017). Prerequisites. In: Financial Markets Theory. Springer Finance(). Springer, London. https://doi.org/10.1007/978-1-4471-7322-9_1

Download citation

Publish with us

Policies and ethics