Chapter 4: Computing Solution Concepts of Normal-Form Games

  • Page number: 100 (electronic version, Revision 1.1)
    • Section number: 4.2.2
    • Date: May 28, 2020
    • Name: Lei Zhou
    • Email: leizhou[at]pku[dot]edu[dot]cn
    • Content: In "Each such equation has the form v=c+qu+T, where v is the clashing variable, c is a constant (initially they are all 1), u is the entering variable, q is a constant coefficient, and T is a linear combination of variables other than v or u. The clashing variable to leave is the one in whose equation the q/c ratio is smallest", the ratio should be c/|q| (used in the examples followed). In "At this point the algorithm terminates since, between them, Equations (4.25) and (4.24) contain all the labels”, I think the algorithm terminates because all the labels are contained in the basis. In "Renormalizing the vectors x′ and y′ to be proper probabilities, one gets the solution ((2/3,1/3, 0), (1/3,2/3)) ...", the solution is got by first setting all the variables in the right-hand side of Equations (4.25) and (4.24) to be zero and then renormalizing the vectors x' and y'.

  • Page number: 95 (first edition)
    • Section number: 4.2.2
    • Date: May 2, 2020
    • Name: Brian Lunday
    • Email: brian[dot]lunday[at]afit[dot]edu
    • Content: In Figure 4.4, the label (2/3, 1/3, 0) on graph G_1 should be reordered to read (0, 2/3, 1/3) to correspond with the entries (a_1^3, a_2^2, a_2^2)

  • Page number: 97 (first edition)
    • Section number: 4.2.2
    • Date: January 6 2014
    • Name: Danny
    • Content: In "... the one in whose equation the q/c ratio is smallest", the ratio should be c/q (at least that is what is used in the example that follows in the text).

  • Page number: 114 (electronic version)
    • Section number: 4.6 (Theorem 4.6.1)
    • Date: March/10/2015
    • Name: Haden Lee
    • Email:haden[dot]lee[at]cs[dot]stanford[dot]edu
    • Content: The theorem states that "The following problems are [...] guaranteed payoff, subset inclusion, and subset containment." However, I don't think that "subset inclusion" and "subset containment" were mentioned in the section previously. Comparing this to Theorem 4.2.3, I wonder if these were meant to be "action inclusion" and "action exclusion" instead.
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The following errors are fixed in the second printing of the book and online PDF v1.1

  • Page number: 92 (electronic version)
    • Date: May 28 2009
    • Name:Kevin
    • Section: 4.2.1
    • Content:After "We can now state the main complexity result.", add a footnote: "This theorem describes the problem of approximating a Nash equilibrium to an arbitrary, specified degree of precision (i.e., computing an $\epsilon$-equilibrium for a given $\epsilon$). The equilibrium computation problem is defined in this way partly because games with three or more players can have equilibria involving irrational-valued probabilites."
  • Page number: 99 (electronic version)
    • Section number: 4.2.2
    • Date: June 23 2009
    • Name: Nicolas Dudebout
    • Email:
    • Content: Equation (4.25) r3 = 1/4 - 3/4 r1 - 3/2 r2 should be r3 = 1/4 - 3/4 r1 + 3/2 r2
-- KevinLeytonBrown - 13 Nov 2008
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