Re: poly: star-probe functional forms; economics of morality

From: Robin Hanson <hanson@econ.berkeley.edu>
Date: Thu Feb 05 1998 - 15:49:32 PST

Hal suggests:
>Even with solar systems as oases, unless special defenses are built, it
>may be that more than one colonizer at a time can be involved with one
>system. They could be in distant parts of the asteroid belt, for example.
>Or, there might be different strategies for replicators, some which try to
>defend their solar system while others go for quick replication without
>much defense.

Consider exponential growth in an oasis. If the colonists divide up the
oasis in proportion to the size of their colonies, then if the first probe
arrives many doubling times before the second, the result is nearly the
same as if the second probe never arrived. So if the frequency of probe
arrival is low compared to doubling times, it is a reasonable approximation
to neglect competition over oases, and just model oases as being given
totally to the first to arrive.

Robin Hanson
hanson@econ.berkeley.edu http://hanson.berkeley.edu/
RWJF Health Policy Scholar, Sch. of Public Health 510-643-1884
140 Warren Hall, UC Berkeley, CA 94720-7360 FAX: 510-643-8614
Received on Fri Feb 6 00:02:43 1998

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