VOLOS, Greece — The first time he bought eggs, milk and jam at an outdoor market using not euros but an informal barter currency, Theodoros Mavridis, an unemployed electrician, was thrilled.

“I felt liberated, I felt free for the first time,” Mr. Mavridis said in a recent interview at a cafe in this port city in central Greece. “I instinctively reached into my pocket, but there was no need to.”

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