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