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