2,175 research outputs found
Competition of Commodities for the Status of Money in an Agent-based Model
In this model study of the commodity market, we present some evidence of
competition of commodities for the status of money in the regime of parameters,
where emergence of money is possible. The competition reveals itself as a
rivalry of a few (typically two) dominant commodities, which take the status of
money in turn.Comment: 10 pages, 4 figure
On Pairs of Difference Operators Satisfying: [P,Q] = Id
Different finite difference replacements for the derivative are analyzed in
the context of the Heisenberg commutation relation. The type of the finite
difference operator is shown to be tied to whether one can naturally consider
and to be self-adjoint and skew self-adjoint or whether they have to be
viewed as creation and annihilation operators. The first class, generalizing
the central difference scheme, is shown to give unitary equivalent
representations. For the second case we construct a large class of examples,
generalizing previously known difference operator realizations of .Comment: 32 pages, plain Te
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