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This article investigates the price effects of shopping hours legislation in order to evaluate empirically the theoretical argument that such regulations protect consumers from price increases. The paper first provides a review of the literature; it then analyses the data prior to and following the liberalisation of German shopping hours regulations in 2006 and 2007 in order to estimate the effects of these changes. The article finds that liberalisation resulted in a fall in prices. This conclusion adds to a growing body of literature suggesting that shopping hours regulations entail significant economic costs.

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Sudoku is the new craze in logic puzzles. Players must fill in an n × n matrix, which contains some given entries, so that each row, column, and m × m submatrix contains each integer 1 through n exactly once. Two issues associated with these puzzles interest us mathematically: puzzle solution and puzzle creation. A Sudoku puzzle can be solved by creating a feasibility problem where the goal is to find at least one feasible solution to the puzzle. We present a binary integer linear program to solve this feasibility problem. In addition, we speculate as to how Sudoku puzzles are created, and provide several theorems for generating many new puzzles from one given original puzzle. Exercises and challenges problems that use principles from optimization, combinatorics, linear algebra, and computer science are presented for students.