Decarbonizing the electricity sector is crucial to achieving the carbon neutrality goal. Integrating renewable energy and retrofitting conventional thermal units with carbon capture devices are the most effective ways to reduce carbon emissions from electricity generation. However

the uncertainty in renewable generation calls for additional energy storage units

which are still relatively expensive. The operation of carbon capture facilities also consumes extra energy

incurring additional costs. In a nutshell

energy security and environmental sustainability cannot be improved without compromising the economy

which is commonly referred to as the energy trilemma. In this paper

the conflict among security

sustainability

and economy is reconciled via engineering game theory. By formulating a tri-objective optimization problem

the tradeoff space is analytically expressed through polyhedral projection

and the Nash bargaining game is used to determine a unique outcome that achieves a fair tradeoff without using manually supplied parameters. Taking a renewable-dominated system as an example

in which renewable energy accounts for approximately two-thirds of the demand energy

it is shown that at equilibrium

63.7% of thermal units are retrofitted into carbon-capture units

and the power capacity of battery storage is approximately 4.3% of renewable generation capacity.