First, read the Position Statement of the National Association for the Education of Young Children. The title of this statement is, Developmentally Appropriate Practice in Early Childhood Programmes serving Children from Birth through Age 8. It is available here:
https://www.naeyc.org/sites/default/files/globallyshared/downloads/PDFs/resources/position-statements/PSDAP.pdf (I will upload the pdf doc)
Now, referring to the Guidelines for Developmentally Appropriate Practice (pp.16-23), briefly list and describe some daily / regular classroom practices that exemplify:
i. a caring community of learners (3)
ii. teaching that enhances development and learning (3)
iii. a curriculum that achieves important goals (3)
iv. assessment methods that are developmentally appropriate (3)
v. reciprocal relationships with families (3)
Game theory Problem Set #4
120 points possible
Question 1: Extensive Form Games (30 points total)
Consider an ultimatum bargaining game with two players, Row (R) and Column (C), and three possible
contracts, A, B, and Z. The rules of bargaining allow R to propose one of these contracts, which C must
then either accept or reject. If C accepts R’s proposal, it determines the outcome; if C rejects it, the
outcome is N (for “No Deal”). R’s payoffs for the outcomes A, B, Z, and N are 1, 2, 3, and 0 respectively,
and C’s payoffs are 2, 1, -1, and 0 respectively. Clearly identifying each player’s feasible pure strategies
and making R the Row player, write the game tree and corresponding normal-form payoff matrix and
identify the pure-strategy subgame-perfect equilibrium or equilibria, and the pure-strategy Nash
equilibrium or equilibria (subgame-perfect or not), when:
(a) (10 points) C can observe, before deciding whether to accept or not, exactly which contract R has
proposed.
(b) (10 points) C can observe, before deciding whether to accept or not, whether R has proposed Z or
[either A or B] (but if R has proposed either A or B, then C cannot tell which one).
(c) (10 points) C cannot observe anything except that R has proposed one of the three possible contracts
before deciding whether to accept. (For the extensive form, you need not re-draw the tree; just say how
it must be changed from your tree for (a).)
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