There are 2 players. They take Stones From the Pilt of 6 stones. Player 1 can take only 2 or 3 Stones, player 2 can takes only 2 or 4 Stones. Players take turns, observe all previous moves, and player 1 Moves first. A player loses if she can not make a legal move, while another player is declared the Winner. Let the pay OFF OF Winning equal to 1 and the pay OFF OF loving equal to 0. a) represent the game in Extensive Form (depict only legal moves) b) Find all SPNE of this game & explain your answer. Who Will Win ?

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
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Chapter1: Making Economics Decisions
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There are 2 players. They take Ston eS From the Pilt of 6 Stones.
Player 1 can takt only 2 or 3 Stones. piayer 2 can taKeS only
2 or 4 StonesS. P layers take turns, observe dil Previous moves,
and player 1 mover first. A pla yer loses if She can not make
a legal move, While another player ir declared the Winner.
Let the pay oF OF Winning egval to 1 and the payoFF OF
losing equal to 0.
a) represent the in ɛxtemsive Form (depict Only legalmoes)
b) Find all SPNE OF this game& explain your a mwwer.
Who Will Win ?
game
Only legalmar)
Transcribed Image Text:There are 2 players. They take Ston eS From the Pilt of 6 Stones. Player 1 can takt only 2 or 3 Stones. piayer 2 can taKeS only 2 or 4 StonesS. P layers take turns, observe dil Previous moves, and player 1 mover first. A pla yer loses if She can not make a legal move, While another player ir declared the Winner. Let the pay oF OF Winning egval to 1 and the payoFF OF losing equal to 0. a) represent the in ɛxtemsive Form (depict Only legalmoes) b) Find all SPNE OF this game& explain your a mwwer. Who Will Win ? game Only legalmar)
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