Combinatorial Games under Auction Play

Games and Economic Behavior

Volumn 27, Issue 2, 1999, Pages 229-264

  Lazarus, Andrew J ^d   Loeb, Daniel E ^a   Propp, James G ^b   Stromquist, Walter R ^d   Ullman, Daniel H ^c  

^a Daniel H Wagner Associates   (United States)

^b UNIVERSITY OF WISCONSIN MADISON   (United States)

^c GEORGE WASHINGTON UNIVERSITY   (United States)

^d NONE

Author keywords

Combinatorial game theory; directed graphs

Indexed keywords

EID: 0346542854     PISSN: 08998256     EISSN: None     Source Type: Journal    
DOI: 10.1006/game.1998.0676     Document Type: Article

References (15)

1. Berge A.-M. Minimal vectors of pairs of dual lattices. J. Number Theory. 52:1995;284-298.
2. Berlekamp E. R., Conway J. H., Guy R. K. Winning Ways. 1982.
3. Berlekamp E. R. An economist's view of combinatorial games. Games of No Chance: Combinatorial Games at MSRI, 1994. Mathematical Science Research Institute Publications. 29:1996;Cambridge University Press, Cambridge. p. 365-406.
4. Condon A. Stochastic Games. 1989;MIT Press, Cambridge.
5. Conway J. H. On Numbers and Games. 1976;Academic Press, London.
6. Courcelle B. Graph rewriting: An algebraic and logic approach. Van Leeuwen J. Handbook of Theoretical Computer Science. 1990;Elsevier, Boston.
7. Fraenkel A. Selected bibliography on combinatorial games. Electron. J. Combin., Dyn. Surv. Combinator. 1994.
8. Grundy P. M. Mathematics and games. Eureka. 2:1939;6-8.
9. Kemperman J. J. B. The Passage Problem for a Markov Chain. 1961;Univ. of Chicago Press, Chicago.
10. Lazarus A. J., Loeb D. E., Propp J. G., Ullman D. H. Richman games. Nowakowski R. J. Games of No Chance: Combinatorial Games at MSRI, 1994. Mathematical Science Research Institute Publications. 29:1996;439-450 Cambridge Univ. Press, Cambridge.
11. Owen G. Game Theory. 1995;Academic Press, New York.
12. Sprague R. P. Über mathematische kampfspiele. Tôhoku Math. J. 41:1936;438-444.
13. von Neumann J., Morgenstern O. Theory of Games and Economic Behavior. 1944;Wiley, New York.
14. Wilson R. Strategic analysis of auctions. Aumann R. J., Hart S. Handbook of Game Theory with Economic Applications, Volume I. 1992;227-279 Elsevier, New York.
15. Woess W. Random walks on infinite graphs and groups - a survey on selected topics. Bull. London Math. Soc. 26:1994;1-60.