information set - 2024 ACF Winter

Question

Extensive form can represent these constructs, which are singletons for non-Bayesian models. For 10 points each:

[10h] Name this construct describing the group of all decision nodes that are indistinguishable from each other for a given player. On trees, this construct is represented by a dotted line that connects multiple nodes.

ANSWER: information set

[10e] Information sets are relevant in this branch of mathematics and economics that uses payoff matrices to derive Nash equilibria. Thought experiments in this field include the Stag Hunt and the Prisoner’s Dilemma.

ANSWER: game theory

[10m] The game-theory concept of best-response functions is used in the Cournot model of this situation, in which firms compete based on quantity. The Bertrand model of this situation assumes firms compete on price.

ANSWER: oligopoly [accept duopoly]

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Summary


2024 ACF Winter at UC Berkeley	2024-11-16	Y	3	13.33	100%	33%	0%
2024 ACF Winter at Lehigh	2024-11-16	Y	7	12.86	100%	14%	14%
2024 ACF Winter at Northwestern	2024-11-16	Y	7	12.86	100%	29%	0%
2024 ACF Winter at Ohio State	2024-11-16	Y	6	13.33	100%	33%	0%
2024 ACF Winter at Online	2024-11-16	Y	8	10.00	100%	0%	0%
2024 ACF Winter at Central Florida	2024-11-16	Y	5	10.00	60%	40%	0%
2024 ACF Winter at Oxford	2024-11-16	Y	10	14.00	100%	40%	0%
2024 ACF Winter at Brandeis	2024-11-16	Y	10	13.00	100%	30%	0%

Data


Stanford L	Berkeley B	0	10	0	10
Berkeley C	Stanford A	0	10	0	10
Berkeley A	Stanford M	0	10	10	20
Bard A	Princeton A	0	10	0	10
Columbia A	Rutgers A	10	10	10	30
Columbia B	Hopkins B	0	10	0	10
Johns Hopkins A	Penn State B	0	10	0	10
Lehigh A	Penn A	0	10	0	10
Haverford A	Penn B	0	10	0	10
Penn State A	Rutgers C	0	10	0	10
Indiana B	Miami	0	10	0	10
Notre Dame	Purdue C	0	10	0	10
UChicago B	Purdue B	0	10	0	10
UChicago D	Purdue D	0	10	0	10
UChicago A	SIUE A	0	10	0	10
UIUC A	WashU B	0	10	10	20
Northwestern A	WashU D	0	10	10	20
CWRU A (UG)	Kenyon B (DII)	0	10	10	20
Michigan A	CWRU C (UG)	0	10	10	20
Michigan State A	Michigan State C (UG)	0	10	0	10
Michigan B	Michigan State B (UG)	0	10	0	10
Ohio State A (UG)	Michigan D (DII)	0	10	0	10
Ohio State C (DII)	CWRU B (UG)	0	10	0	10
Arkansas	Colorado College	0	10	0	10
Central Oklahoma	Iowa	0	10	0	10
Vassar B	McGill E	0	10	0	10
Texas B	Mississippi State	0	10	0	10
NYU A	WUSTL A	0	10	0	10
Oregon State	Texas D	0	10	0	10
Missouri	Texas A	0	10	0	10
Vassar A	Ole Miss	0	10	0	10
UF B	Florida Tech A	0	10	10	20
Florida Tech B	UF A	0	0	0	0
UCF A	UCF B	0	10	10	20
UF C	UF E	0	10	0	10
UF F	Florida State University A	0	0	0	0
Cambridge C	Birmingham	0	10	0	10
Cambridge A	Imperial B	0	10	10	20
Cambridge B	Durham A	0	10	10	20
Cambridge D	Warwick A	0	10	0	10
Manchester	Edinburgh	0	10	10	20
Oxford B	Imperial A	0	10	0	10
LSE B	Bristol B	0	10	10	20
Oxford A	Bristol A	0	10	0	10
Southampton A	Warwick B	0	10	0	10
Vanderbilt	Durham B	0	10	0	10
Amherst A	A Brandeis Supreme	0	10	10	20
Bowdoin A	Clark A	0	10	10	20
Diamond Brandeis	BU B	0	10	0	10
Harvard A	Carabrandeis	0	10	0	10
Tufts A	Northeastern A	0	10	0	10
MIT A	Tufts B	0	10	0	10
Williams A	Bowdoin B	0	10	0	10
Yale A	Brandeises Brew	0	10	0	10
Yale B	Boston University A	0	10	10	20
Brown A	Yale C	0	10	0	10