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Above is the Exit, Voice, and Loyalty game between the state (S) and the citizen (C). E is what the citizen gets from her exit option. R is what the state gets from the support (revenue) of the citizen. 0 is what the citizen gets for remaining loyal to the state. c is the cost for the citizen of exercising her voice option.
For the following questions, let R =2. Let c = 0.25.
-Let E = 0.50. Write the payoffs for both actors in the game below. What is the subgame perfect equilibrium? Please answer in the form (citizen's 1st choice, citizen's 2nd choice; state's choice).
Benefit Formula
A method used to calculate the amount of benefits, such as pensions, insurance payouts, or social security, based on factors like income, years of service, or contributions.
Tax Rates
The percentages at which income or value is taxed by governmental authorities, varying by income level, product type, or activity being taxed.
Operating Expenses
Costs associated with the day-to-day operations of a business, excluding direct labor and materials.
Future Taxpayers
Individuals or entities that will be responsible for contributing to government revenues through taxes in the future.
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