Mathematical economics - Quiz
  • 1. Mathematical economics is a branch of economics that utilizes mathematical methods to represent economic theories and analyze economic problems. It combines economic theory with mathematical tools to develop models that can help explain and predict economic behavior. By using mathematical equations and models, economists can quantify relationships between various economic variables and study the impact of different policies and factors on economic outcomes. Mathematical economics has applications in various fields, such as finance, game theory, decision theory, and microeconomics. It allows economists to formulate precise hypotheses, conduct rigorous analysis, and make informed policy recommendations based on data and evidence.

    In economics, what does the term 'equilibrium' refer to?
A) A state where supply equals demand
B) A state of constant change
C) A state of maximum production
D) A state of chaos in the market
  • 2. What does the concept of 'marginal utility' measure?
A) Price of the last unit of a good purchased
B) Total satisfaction gained from consuming a good
C) Additional satisfaction gained from consuming one more unit of a good
D) Total quantity of a good consumed
  • 3. Which economic theory focuses on the relationship between production capacity and inflation?
A) Phillips curve
B) Keynesian economics
C) Austrian economics
D) Chicago school of economics
  • 4. What is the purpose of game theory in economics?
A) To predict market trends
B) To study historical economic data
C) To analyze strategic interactions between rational decision-makers
D) To design economic policies
  • 5. What is the purpose of linear programming in economic analysis?
A) To optimize resource allocation given constraints
B) To analyze historical trends
C) To forecast future demand
D) To graph economic data
  • 6. What is 'opportunity cost' in economics?
A) Total cost of production
B) Cost of resources used in production
C) Price of a good in a competitive market
D) The value of the best alternative forgone in order to make a particular choice
  • 7. Which economic concept is used to measure the responsiveness of quantity demanded to a price change?
A) Income effect
B) Cross-price elasticity
C) Market equilibrium
D) Elasticity of demand
  • 8. What does 'Pareto efficiency' refer to in welfare economics?
A) Equal distribution of wealth
B) Maximum total utility for all individuals
C) Elimination of poverty
D) Allocation of resources where no individual can be made better off without making another worse off
  • 9. In utility theory, what does the 'indifference curve' represent?
A) All combinations of goods that provide the same level of utility to a consumer
B) Curve indicating increasing marginal utility
C) Curve representing diminishing marginal utility
D) Curve showing only one optimal choice
  • 10. Who is credited with coining the term 'statistics'?
A) John Maynard Keynes
B) Sir William Petty
C) Gottfried Achenwall
D) Johann Heinrich von Thünen
  • 11. What was the term used by a group of professors in England for reasoning with figures related to government?
A) Statistical Analysis
B) Mathematical Economics
C) Economic Calculus
D) Political Arithmetick
  • 12. Which economist's work is considered the first example of marginal analysis?
A) W.S. Jevons
B) Sir William Petty
C) John Maynard Keynes
D) Johann Heinrich von Thünen
  • 13. Who presented a paper on the 'general mathematical theory of political economy' in 1862?
A) Gottfried Achenwall
B) Robert Heilbroner
C) Friedrich Hayek
D) W.S. Jevons
  • 14. What did W.S. Jevons declare political economy must be, due to its dealing with quantities?
A) Mathematical
B) Empirical
C) Qualitative
D) Theoretical
  • 15. Who criticized the broad use of mathematical models for human behavior?
A) None of the above
B) John Maynard Keynes, Robert Heilbroner, Friedrich Hayek
C) Johann Heinrich von Thünen, W.S. Jevons
D) Gottfried Achenwall, Sir William Petty
  • 16. What was the main method used in economic analysis before the 19th century?
A) Algebraic means
B) Matrix algebra
C) Differential calculus
D) Game theory
  • 17. Which economist's work was largely ignored by English scholars despite its influence?
A) W.S. Jevons
B) Sir William Petty
C) Johann Heinrich von Thünen
D) Gottfried Achenwall
  • 18. Who are considered the precursors to modern mathematical economics?
A) Karl Marx, Friedrich Hayek, and Joseph Schumpeter
B) Augustin Cournot, Léon Walras, and Francis Ysidro Edgeworth
C) John Maynard Keynes, Milton Friedman, and Paul Samuelson
D) Adam Smith, David Ricardo, and John Stuart Mill
  • 19. How is the market price determined in Cournot's duopoly model?
A) By government regulation
B) By the cost of production for each seller
C) By the individual demand curve of each seller
D) By the total quantity supplied by both sellers
  • 20. What type of equilibrium can Cournot's solution be considered as in modern terms?
A) Pareto efficiency
B) Kaldor-Hicks efficiency
C) Walrasian equilibrium
D) Nash equilibrium
  • 21. What was the initial reception of Cournot's contributions to economics?
A) Immediately accepted and celebrated
B) Neglected for decades
C) Implemented in policy immediately
D) Rejected entirely without consideration
  • 22. How many separate models of exchange did Walras originally present?
A) Five
B) Two
C) Four
D) Three
  • 23. What does Walras' law state about markets reaching equilibrium?
A) Only one market needs to clear for all others to follow
B) Markets cannot reach equilibrium independently
C) If n-1 markets cleared, the nth market would clear as well
D) All markets must clear simultaneously
  • 24. How many markets does Walras use to illustrate his law most easily?
A) Three
B) Two
C) Five
D) Four
  • 25. In which field is Lagrangian duality and convex analysis used daily?
A) Pure mathematics
B) Operations research
C) Physics
D) Economics
  • 26. Which journal was founded in 1933 to promote econometrics?
A) Quarterly Journal of Economics
B) Econometrica
C) The American Economic Review
D) Journal of Political Economy
  • 27. Which theory became more extensively used in economics after Richard Bellman's work on dynamic programming?
A) Variational calculus
B) Functional analysis
C) Optimal control theory
D) Fixed-point theory
  • 28. What does ACE stand for in economic modeling?
A) Automated computational engineering
B) Advanced computational econometrics
C) Applied calculus of economics
D) Agent-based computational economics
  • 29. What institution helped promote the linking of statistical analysis to economic theory in the 1930s and 1940s?
A) American Economic Association
B) The Cowles Commission
C) National Bureau of Economic Research
D) Econometric Society
  • 30. Who worked with John von Neumann on the theory of games?
A) Reinhard Selten
B) John Nash
C) John Harsanyi
D) Oskar Morgenstern
  • 31. When did the field of agent-based computational economics begin to emerge?
A) Early 1980s
B) Late 1970s
C) About the 1990s
D) Mid-2000s
  • 32. How did Kantorovich refer to prices in his models?
A) "Optimal functions"
B) "Market equilibria"
C) "Objectively determined valuations"
D) "Economic variables"
  • 33. Who argued that economic problems which can be quantified should be treated by means of mathematical work?
A) John Maynard Keynes
B) Milton Friedman
C) Adam Smith
D) Alfred Marshall
  • 34. What term is used to describe sets of allocations where no exchanges can make at least one individual better off without making any other worse off?
A) Pareto efficient
B) Comparative statics
C) Walrasian equilibrium
D) Invisible hand hypothesis
  • 35. Who later confirmed Edgeworth's findings about the effect of taxes on prices?
A) Harold Hotelling
B) Edwin Robert Anderson Seligman
C) Arthur Lyon Bowley
D) Jeremy Bentham
  • 36. Who developed the model of input-output analysis in 1936?
A) Paul Samuelson
B) Von Neumann
C) Wassily Leontief
D) Leonid Kantorovich
  • 37. During what event was linear programming used to plan the shipment of supplies to Berlin?
A) World War I
B) Cold War
C) Berlin airlift (1948)
D) Cuban Missile Crisis
  • 38. What type of technologies produce outputs using constant proportions of inputs?
A) Linear programming techniques
B) von Neumann technologies
C) Leontief technologies
D) Arrow–Debreu models
  • 39. What mathematical concept did Paul Samuelson compare to tâtonnement?
A) Le Chatelier's principle
B) Brouwer's fixed point theorem
C) Pareto efficiency
D) Von Neumann's equilibrium model
  • 40. Who first applied differential calculus to analyze microeconomics by treating decisions as attempts to change allocations of goods?
A) Alfred Marshall
B) Vilfredo Pareto
C) Paul Samuelson
D) John von Neumann
  • 41. Who graphically developed the two-person solution to Edgeworth's problem in 1924?
A) Arthur Lyon Bowley
B) Jeremy Bentham
C) Edwin Robert Anderson Seligman
D) Harold Hotelling
  • 42. In what year did John von Neumann and Oskar Morgenstern make significant contributions to game theory?
A) 1944
B) 1965
C) 1951
D) 1994
  • 43. Who is credited with the formal derivation and exposition of the cobweb model?
A) Nicholas Kaldor
B) Henry L. Moore
C) Ragnar Frisch
D) Trygve Haavelmo
  • 44. Which economic theory posits that consumers maximize their utility subject to budget constraints?
A) General equilibrium theory
B) Input-output economics
C) Microeconomics
D) Macroeconomics
  • 45. In which year did Francis Ysidro Edgeworth publish 'Mathematical Psychics: An Essay on the Application of Mathematics to the Moral Sciences'?
A) 1924
B) 1905
C) 1878
D) 1881
  • 46. What did John von Neumann introduce to economic theory in his 1937 model?
A) Dynamic programming
B) Convex sets and fixed-point theory
C) Functional analytic methods including topology
D) Optimal control theory
  • 47. In which year did Nash, Harsanyi, and Selten receive the Nobel Memorial Prize in Economic Sciences?
A) 1994
B) 2010
C) 2001
D) 1985
  • 48. Which concept did von Neumann's model use only nonnegative matrices?
A) Linear programming
B) Graph theory
C) Convex sets
D) Differential calculus
  • 49. What was the nature of Moore's first models of production?
A) Dynamic
B) Probabilistic
C) Static
D) Empirical
  • 50. Who published 'The Probability Approach in Econometrics' in 1944?
A) Ragnar Frisch
B) Trygve Haavelmo
C) Nicholas Kaldor
D) Henry L. Moore
  • 51. What is the primary objective in a nonlinear optimization problem?
A) Equalize g_i(x)
B) Solve h_j(x)
C) Minimize f(x)
D) Maximize f(x)
  • 52. In what year did Henry L. Moore publish his dynamic 'moving equilibrium' model?
A) 1925
B) 1944
C) 1933
D) 1892
  • 53. What has become increasingly important to professionals in economics and finance due to the sophistication of mathematical methods?
A) Mathematics
B) Programming
C) Statistics
D) Econometrics
  • 54. What type of problems often require the use of mathematical tools due to their complexity?
A) Qualitative research studies
B) Basic economic theory
C) Economic problems with many variables
D) Simple arithmetic calculations
  • 55. What concept did Edgeworth adopt from Jeremy Bentham in his economic model?
A) Utilitarianism
B) Opportunity cost
C) Felicific calculus
D) Marginal utility
  • 56. What percentage of articles in top economic journals in 2003 and 2004 lacked both statistical analysis and mathematical expressions?
A) 20%
B) 5.8%
C) 15%
D) 10%
  • 57. What paradigm does ACE fall under?
A) Behavioral finance
B) Complex adaptive systems
C) Quantum economics
D) Classical mechanics
  • 58. Which school of thought criticized the mathematization of economics?
A) The Chicago school
B) Keynesian school
C) Neoclassical schools
D) The Austrian school
  • 59. What did Milton Friedman say about economic model assumptions?
A) Assumptions should always match reality.
B) Models should not be judged by their predictive performance.
C) Assumptions are irrelevant to model performance.
D) 'All assumptions are unrealistic.'
  • 60. Who coined the term 'econometrics'?
A) Henry L. Moore
B) Trygve Haavelmo
C) Ragnar Frisch
D) Nicholas Kaldor
  • 61. What type of functions benefit most from convex duality?
A) Non-convex functions
B) Polyhedral convex functions
C) Linear functions
D) Quadratic functions
  • 62. In which decade was linear programming developed to aid resource allocation in Russia?
A) 1950s
B) 1960s
C) 1940s
D) 1930s
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