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Pexeso ("Concentration game") as an arbiter of bounded-rationality models

SYSNO ASEP	0347865
Document Type	C - Proceedings Paper (int. conf.)
R&D Document Type	Conference Paper
Title	Pexeso ("Concentration game") as an arbiter of bounded-rationality models
Author(s)	Kuběna, Aleš Antonín (UTIA-B)_{RID, ORCID}
Source Title	Proceedings of the 28th International Conference on Mathematical Methods in Economics 2010. - České Budějovice : University of South Bohemia, 2010 / Houda M. ; Friebelová J. - ISBN 978-80-7394-218-2
Pages	s. 337-380
Number of pages	4 s.
Action	28-th International Conference on Mathematical Methods in Economics
Event date	08.09.2010-10.09.2010
VEvent location	České Budějovice
Country	CZ - Czech Republic
Event type	EUR
Language	eng - English
Country	CZ - Czech Republic
Keywords	Concentration game ; pexeso ; perfect players
Subject RIV	AH - Economics
R&D Projects	GD402/09/H045 GA ČR - Czech Science Foundation (CSF)
CEZ	AV0Z10750506 - UTIA-B (2005-2011)
UT WOS	000287979900064
Annotation	Among board games, Pexeso (Concentration game) for two players is a game almost purely output-oriented, i.e. the optimal play is not given by strategic plans with long-term horizon (e.g. no short-term tactical sacrifice is observed). So, the optimal strategy and game dynamics may be calculated almost analytically, assuming a given rationality restrictions of the players. In the paper, the optimal strategy for two players is solved using dynamic programming. Further, it is proved that for rational players, the game would end with ”stalemate” (the game never ends) with a probability close to 1. Further, the game dynamics is described if a rationality restriction is given such that the players perform a random move instead of the optimal one with probabilities P,Q > 0. In this case, the probability of a stalemate is equal to zero.
Workplace	Institute of Information Theory and Automation
Contact	Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201.
Year of Publishing	2011

Number of the records: 1