Combinatorial Games under Auction Play

ARichman gameis a combinatorial game in which, rather than alternating moves, the two players bid for the privilege of making the next move. The theory of such games is a hybrid between the classical theory of games (von Neumann, Morgenstern, …) and the combinatorial theory of games (Berlekamp, Conw...

Full description

Saved in:
Bibliographic Details
Published in:Games and economic behavior 1999-05, Vol.27 (2), p.229-264
Main Authors: Lazarus, Andrew J., Loeb, Daniel E., Propp, James G., Stromquist, Walter R., Ullman, Daniel H.
Format: Article
Language:English
Subjects:
Auctions
Classical economics
combinatorial game theory
directed graphs
Economic theory
Game theory
Games
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:ARichman gameis a combinatorial game in which, rather than alternating moves, the two players bid for the privilege of making the next move. The theory of such games is a hybrid between the classical theory of games (von Neumann, Morgenstern, …) and the combinatorial theory of games (Berlekamp, Conway, Guy, …). We expand upon our previous work by considering games with infinitely many positions as well as several variants including thePoorman variantin which the high bidder pays a third party (rather than the other player).Journal of Economic LiteratureClassification Number: C7.
ISSN:0899-8256
1090-2473
DOI:10.1006/game.1998.0676