Game Theory #1 - Dominant Strategy/Nash Eq. (VHS vs. Betamax)

1) In the initial videocassette market (home use), there were two
competing standards: Sony’s Betamax and the VHS standard. Using
hypothetical payoffs, we can analyze how both manufacturers can benefit
from cooperation rather than competition. The following lists the
payoffs for rival manufacturers and Sony in their decision to adopt one
of the standards.

Rival Manufacturers

Betamax VHS

Betamax 500 400 100 300

SONY

VHS 300 100 400 500

(All payoffs are in millions of dollars of additional profits)

Does Sony and/or the rival manufacturers have a dominant strategy?
Explain.

Are there any Nash equilibria here? Explain and show how the
equilibrium might be supported. Which outcome would Sony prefer, and
why? Be sure to discuss cooperative vs. non-cooperative outcomes.