Module Details |
The information contained in this module specification was correct at the time of publication but may be subject to change, either during the session because of unforeseen circumstances, or following review of the module at the end of the session. Queries about the module should be directed to the member of staff with responsibility for the module. |
Title | MATHEMATICAL ECONOMICS | ||
Code | MATH331 | ||
Coordinator |
Dr DM Lewis Mathematical Sciences D.M.Lewis@liverpool.ac.uk |
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Year | CATS Level | Semester | CATS Value |
Session 2019-20 | Level 6 FHEQ | Second Semester | 15 |
Aims |
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· To explore, from a game-theoreticpoint of view, models which have been used to understand phenomena in whichconflict and cooperation occur. · To see the relevance of the theorynot only to parlour games but also to situations involving humanrelationships, economic bargaining (between trade union and employer, etc),threats, formation of coalitions, war, etc.. · To treat fully a number ofspecific games including the famous examples of "The Prisoners'' Dilemma"and "The Battle of the Sexes". · To treat in detail two-personzero-sum and non-zero-sum games. · To give a brief review of n-persongames. · In microeconomics, to look atexchanges in the absence of money, i.e. bartering, in which two individualsor two groups are involved. To see how the Prisoner''s Dilemmaarises in the context of public goods. |
Learning Outcomes |
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(LO1) After completing the module students should: Have further extended their appreciation of the role of mathematics in modelling in Economics and the Social Sciences. |
Syllabus |
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1 Simple examples of games. Von Neumann-Morgenstern theory of utility. Concepts: Conflict and cooperation; game-trees, normal and extensive form; domination, Nash equilibrium. Two-player, zero-sum games: statement of maximin theorem and its consequences; solution (2 x 2, 2 x 3, 3 x 3). Two-player, non-zero-sum, non-cooperative games: solution concepts and implication for Prisoners' Dilemma. Two-player cooperative games: Bargaining and threat concepts. N-player cooperative games: coalitions, characteristic function, imputations and the core. Microeconomic theory. Edgeworth Box, public goods. |
Recommended Texts |
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Reading lists are managed at readinglists.liverpool.ac.uk. Click here to access the reading lists for this module. |
Pre-requisites before taking this module (other modules and/or general educational/academic requirements): |
Co-requisite modules: |
Modules for which this module is a pre-requisite: |
Programme(s) (including Year of Study) to which this module is available on a required basis: |
Programme(s) (including Year of Study) to which this module is available on an optional basis: |
Assessment |
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EXAM | Duration | Timing (Semester) |
% of final mark |
Resit/resubmission opportunity |
Penalty for late submission |
Notes |
Assessment 1 Assessment Schedule (When) :Second semester | 2.5 hours | 100 | ||||
CONTINUOUS | Duration | Timing (Semester) |
% of final mark |
Resit/resubmission opportunity |
Penalty for late submission |
Notes |