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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 where supply equals demand
B) A state of chaos in the market
C) A state of maximum production
D) A state of constant change
  • 2. What does the concept of 'marginal utility' measure?
A) Total satisfaction gained from consuming a good
B) Additional satisfaction gained from consuming one more unit of a good
C) Total quantity of a good consumed
D) Price of the last unit of a good purchased
  • 3. Which economic theory focuses on the relationship between production capacity and inflation?
A) Chicago school of economics
B) Phillips curve
C) Keynesian economics
D) Austrian economics
  • 4. What is the purpose of game theory in economics?
A) To design economic policies
B) To predict market trends
C) To study historical economic data
D) To analyze strategic interactions between rational decision-makers
  • 5. What is the purpose of linear programming in economic analysis?
A) To graph economic data
B) To forecast future demand
C) To optimize resource allocation given constraints
D) To analyze historical trends
  • 6. What is 'opportunity cost' in economics?
A) Price of a good in a competitive market
B) The value of the best alternative forgone in order to make a particular choice
C) Total cost of production
D) Cost of resources used in production
  • 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) Allocation of resources where no individual can be made better off without making another worse off
B) Maximum total utility for all individuals
C) Elimination of poverty
D) Equal distribution of wealth
  • 9. In utility theory, what does the 'indifference curve' represent?
A) Curve showing only one optimal choice
B) Curve indicating increasing marginal utility
C) Curve representing diminishing marginal utility
D) All combinations of goods that provide the same level of utility to a consumer
  • 10. Who is credited with coining the term 'statistics'?
A) Sir William Petty
B) John Maynard Keynes
C) Johann Heinrich von Thünen
D) Gottfried Achenwall
  • 11. What was the term used by a group of professors in England for reasoning with figures related to government?
A) Mathematical Economics
B) Economic Calculus
C) Political Arithmetick
D) Statistical Analysis
  • 12. Which economist's work is considered the first example of marginal analysis?
A) John Maynard Keynes
B) Johann Heinrich von Thünen
C) W.S. Jevons
D) Sir William Petty
  • 13. Who presented a paper on the 'general mathematical theory of political economy' in 1862?
A) W.S. Jevons
B) Gottfried Achenwall
C) Robert Heilbroner
D) Friedrich Hayek
  • 14. What did W.S. Jevons declare political economy must be, due to its dealing with quantities?
A) Mathematical
B) Empirical
C) Theoretical
D) Qualitative
  • 15. Who criticized the broad use of mathematical models for human behavior?
A) None of the above
B) Gottfried Achenwall, Sir William Petty
C) Johann Heinrich von Thünen, W.S. Jevons
D) John Maynard Keynes, Robert Heilbroner, Friedrich Hayek
  • 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) Gottfried Achenwall
B) Sir William Petty
C) W.S. Jevons
D) Johann Heinrich von Thünen
  • 18. Who are considered the precursors to modern mathematical economics?
A) Adam Smith, David Ricardo, and John Stuart Mill
B) John Maynard Keynes, Milton Friedman, and Paul Samuelson
C) Karl Marx, Friedrich Hayek, and Joseph Schumpeter
D) Augustin Cournot, Léon Walras, and Francis Ysidro Edgeworth
  • 19. How is the market price determined in Cournot's duopoly model?
A) By the total quantity supplied by both sellers
B) By the individual demand curve of each seller
C) By government regulation
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) Kaldor-Hicks efficiency
B) Pareto efficiency
C) Walrasian equilibrium
D) Nash equilibrium
  • 21. What was the initial reception of Cournot's contributions to economics?
A) Rejected entirely without consideration
B) Immediately accepted and celebrated
C) Neglected for decades
D) Implemented in policy immediately
  • 22. How many separate models of exchange did Walras originally present?
A) Two
B) Four
C) Three
D) Five
  • 23. What does Walras' law state about markets reaching equilibrium?
A) All markets must clear simultaneously
B) Markets cannot reach equilibrium independently
C) Only one market needs to clear for all others to follow
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) Four
C) Two
D) Five
  • 25. In which field is Lagrangian duality and convex analysis used daily?
A) Operations research
B) Physics
C) Pure mathematics
D) Economics
  • 26. Which journal was founded in 1933 to promote econometrics?
A) Econometrica
B) Journal of Political Economy
C) Quarterly Journal of Economics
D) The American Economic Review
  • 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) Functional analysis
D) Optimal control theory
  • 28. What does ACE stand for in economic modeling?
A) Advanced computational econometrics
B) Applied calculus of economics
C) Agent-based computational economics
D) Automated computational engineering
  • 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) American Economic Association
C) The Cowles Commission
D) Econometric Society
  • 30. Who worked with John von Neumann on the theory of games?
A) John Harsanyi
B) Reinhard Selten
C) Oskar Morgenstern
D) John Nash
  • 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) "Economic variables"
B) "Objectively determined valuations"
C) "Market equilibria"
D) "Optimal functions"
  • 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) Invisible hand hypothesis
B) Walrasian equilibrium
C) Comparative statics
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) Leonid Kantorovich
B) Paul Samuelson
C) Von Neumann
D) Wassily Leontief
  • 37. During what event was linear programming used to plan the shipment of supplies to Berlin?
A) Cold War
B) Berlin airlift (1948)
C) Cuban Missile Crisis
D) World War I
  • 38. What type of technologies produce outputs using constant proportions of inputs?
A) Leontief technologies
B) von Neumann technologies
C) Arrow–Debreu models
D) Linear programming techniques
  • 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) Vilfredo Pareto
B) John von Neumann
C) Paul Samuelson
D) Alfred Marshall
  • 41. Who graphically developed the two-person solution to Edgeworth's problem in 1924?
A) Jeremy Bentham
B) Harold Hotelling
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) 1965
B) 1944
C) 1951
D) 1994
  • 43. Who is credited with the formal derivation and exposition of the cobweb model?
A) Henry L. Moore
B) Ragnar Frisch
C) Trygve Haavelmo
D) Nicholas Kaldor
  • 44. Which economic theory posits that consumers maximize their utility subject to budget constraints?
A) General equilibrium theory
B) Microeconomics
C) Macroeconomics
D) Input-output economics
  • 45. In which year did Francis Ysidro Edgeworth publish 'Mathematical Psychics: An Essay on the Application of Mathematics to the Moral Sciences'?
A) 1878
B) 1924
C) 1905
D) 1881
  • 46. What did John von Neumann introduce to economic theory in his 1937 model?
A) Convex sets and fixed-point theory
B) Dynamic programming
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) 1985
B) 1994
C) 2010
D) 2001
  • 48. Which concept did von Neumann's model use only nonnegative matrices?
A) Convex sets
B) Differential calculus
C) Graph theory
D) Linear programming
  • 49. What was the nature of Moore's first models of production?
A) Static
B) Dynamic
C) Probabilistic
D) Empirical
  • 50. Who published 'The Probability Approach in Econometrics' in 1944?
A) Henry L. Moore
B) Trygve Haavelmo
C) Nicholas Kaldor
D) Ragnar Frisch
  • 51. What is the primary objective in a nonlinear optimization problem?
A) Equalize g_i(x)
B) Maximize f(x)
C) Solve h_j(x)
D) Minimize f(x)
  • 52. In what year did Henry L. Moore publish his dynamic 'moving equilibrium' model?
A) 1933
B) 1944
C) 1925
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) Econometrics
D) Statistics
  • 54. What type of problems often require the use of mathematical tools due to their complexity?
A) Economic problems with many variables
B) Simple arithmetic calculations
C) Qualitative research studies
D) Basic economic theory
  • 55. What concept did Edgeworth adopt from Jeremy Bentham in his economic model?
A) Felicific calculus
B) Utilitarianism
C) Opportunity cost
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) 10%
D) 15%
  • 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 Austrian school
B) Keynesian school
C) Neoclassical schools
D) The Chicago school
  • 59. What did Milton Friedman say about economic model assumptions?
A) Models should not be judged by their predictive performance.
B) Assumptions are irrelevant to model performance.
C) Assumptions should always match reality.
D) 'All assumptions are unrealistic.'
  • 60. Who coined the term 'econometrics'?
A) Nicholas Kaldor
B) Ragnar Frisch
C) Henry L. Moore
D) Trygve Haavelmo
  • 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) 1960s
B) 1940s
C) 1950s
D) 1930s
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