The Number of Commodities Required to Represent a Market Game
An n-person game with side payments that can arise from an economic
market is called a market game. It is proved here that any n-person
market game can be obtained from a market with n - 1 commodities.
Moreover, no smaller number will suffice in some cases (e.g., the unanimity
game). The result is then applied to settle a question regarding market
games with a continuum of traders.
Journal of Economic Literature Classification Numbers: 021, 022
Journal of Economic Theory 27 (1982), 1, 163-169